%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV963-1 : 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 : n017.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 11:00:35 AM UTC 2026
% Result : Unsatisfiable 177.52s 35.71s
% Output : CNFRefutation 177.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 465
% Syntax : Number of formulae : 5167 (4106 unt; 0 typ; 0 def)
% Number of atoms : 21797 (8966 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 345579 (5491 ~;4656 |; 0 &;335432 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 92 ( 89 usr; 28 con; 0-8 aty)
% Number of variables : 31714 ( 0 ^;31714 !; 0 ?;31714 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Aux_Ofun__of,type,
c_Aux_Ofun__of: $i > $i > $i > $i ).
thf(tp_c_BigStep_Oeval,type,
c_BigStep_Oeval: $i > $i > $i > $i > $i > $o ).
thf(tp_c_BigStep_Oevals,type,
c_BigStep_Oevals: $i > $i > $i > $i > $i > $o ).
thf(tp_c_COMBI,type,
c_COMBI: $i > $i > $i ).
thf(tp_c_Conform_Oconf,type,
c_Conform_Oconf: $i > $i > $i > $i ).
thf(tp_c_Conform_Ohconf,type,
c_Conform_Ohconf: $i > $i > $i > $o ).
thf(tp_c_Conform_Olconf,type,
c_Conform_Olconf: $i > $i > $i > $i > $i > $o ).
thf(tp_c_Conform_Osko__Conform__Xconf__def__1__1,type,
c_Conform_Osko__Conform__Xconf__def__1__1: $i > $i > $i > $i > $i > $i ).
thf(tp_c_Conform_Osko__Conform__Xconfs__conv__map__1__1,type,
c_Conform_Osko__Conform__Xconfs__conv__map__1__1: $i > $i > $i > $i > $i > $i ).
thf(tp_c_Decl_Ois__class,type,
c_Decl_Ois__class: $i > $i > $i > $o ).
thf(tp_c_Expr_Obop_OEq,type,
c_Expr_Obop_OEq: $i ).
thf(tp_c_Expr_Oexp_OBinOp,type,
c_Expr_Oexp_OBinOp: $i > $i > $i > $i > $i ).
thf(tp_c_Expr_Oexp_OBlock,type,
c_Expr_Oexp_OBlock: $i > $i > $i > $i > $i ).
thf(tp_c_Expr_Oexp_OCall,type,
c_Expr_Oexp_OCall: $i > $i > $i > $i > $i ).
thf(tp_c_Expr_Oexp_OCast,type,
c_Expr_Oexp_OCast: $i > $i > $i > $i ).
thf(tp_c_Expr_Oexp_OCond,type,
c_Expr_Oexp_OCond: $i > $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_OLAss,type,
c_Expr_Oexp_OLAss: $i > $i > $i > $i ).
thf(tp_c_Expr_Oexp_OSeq,type,
c_Expr_Oexp_OSeq: $i > $i > $i > $i ).
thf(tp_c_Expr_Oexp_OTryCatch,type,
c_Expr_Oexp_OTryCatch: $i > $i > $i > $i > $i > $i ).
thf(tp_c_Expr_Oexp_OVal,type,
c_Expr_Oexp_OVal: $i > $i > $i ).
thf(tp_c_Expr_Oexp_OWhile,type,
c_Expr_Oexp_OWhile: $i > $i > $i > $i ).
thf(tp_c_Expr_Oexp_Othrow,type,
c_Expr_Oexp_Othrow: $i > $i > $i ).
thf(tp_c_False,type,
c_False: $i ).
thf(tp_c_List_Olist_OCons,type,
c_List_Olist_OCons: $i > $i > $i > $i ).
thf(tp_c_List_Olist__all2,type,
c_List_Olist__all2: $i > $i > $i > $i > $i > $o ).
thf(tp_c_Map_Omap__add,type,
c_Map_Omap__add: $i > $i > $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_Recdef_Osame__fst,type,
c_Recdef_Osame__fst: $i > $i > $i > $i > $i ).
thf(tp_c_SmallStep_Ored,type,
c_SmallStep_Ored: $i > $i ).
thf(tp_c_SmallStep_Oredp,type,
c_SmallStep_Oredp: $i > $i > $i > $i > $i > $o ).
thf(tp_c_State_Ohp,type,
c_State_Ohp: $i > $i ).
thf(tp_c_Transitive__Closure_Ortrancl,type,
c_Transitive__Closure_Ortrancl: $i > $i > $i ).
thf(tp_c_True,type,
c_True: $i ).
thf(tp_c_TypeRel_Owiden,type,
c_TypeRel_Owiden: $i > $i > $i ).
thf(tp_c_TypeSafe__Mirabelle_Osconf,type,
c_TypeSafe__Mirabelle_Osconf: $i > $i > $i > $o ).
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_ONT,type,
c_Type_Oty_ONT: $i ).
thf(tp_c_Value_Oval_OAddr,type,
c_Value_Oval_OAddr: $i > $i ).
thf(tp_c_Value_Oval_OBool,type,
c_Value_Oval_OBool: $i > $i ).
thf(tp_c_Value_Oval_ONull,type,
c_Value_Oval_ONull: $i ).
thf(tp_c_Value_Oval_OUnit,type,
c_Value_Oval_OUnit: $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__2__1,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
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_WellType_OWT,type,
c_WellType_OWT: $i > $i > $i > $i > $o ).
thf(tp_c_WellType_Osko__WellType__XWT__elim__cases__2__1,type,
c_WellType_Osko__WellType__XWT__elim__cases__2__1: $i > $i > $i > $i > $i > $i ).
thf(tp_c_WellType_Osko__WellType__XWT__elim__cases__2__2,type,
c_WellType_Osko__WellType__XWT__elim__cases__2__2: $i > $i > $i > $i > $i > $i ).
thf(tp_c_Wellfounded_Olex__prod,type,
c_Wellfounded_Olex__prod: $i > $i > $i > $i > $i ).
thf(tp_c_fequal,type,
c_fequal: $i > $i ).
thf(tp_c_in,type,
c_in: $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_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_T_092_060_094isub_0622____,type,
v_T_092_060_094isub_0622____: $i ).
thf(tp_v_T____,type,
v_T____: $i ).
thf(tp_v_e_092_060_094isub_0622_H____,type,
v_e_092_060_094isub_0622_H____: $i ).
thf(tp_v_e_092_060_094isub_0622____,type,
v_e_092_060_094isub_0622____: $i ).
thf(tp_v_h_Ha____,type,
v_h_Ha____: $i ).
thf(tp_v_ha____,type,
v_ha____: $i ).
thf(tp_v_l_Ha____,type,
v_l_Ha____: $i ).
thf(tp_v_la____,type,
v_la____: $i ).
thf(tp_v_sko__CHAINED__1,type,
v_sko__CHAINED__1: $i > $i > $i > $i > $i > $i ).
thf(tp_v_sko__local__XFAssRed2__2__1,type,
v_sko__local__XFAssRed2__2__1: $i > $i > $i > $i > $i > $i ).
thf(tp_v_sko__local__XFAssRed2__Xhyps__2__1,type,
v_sko__local__XFAssRed2__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_thesis____,type,
v_thesis____: $o ).
thf(tp_v_v____,type,
v_v____: $i ).
thf(1,axiom,
! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_X ) @ V_Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
thf(2,axiom,
! [T_a: $i,V_x: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_x ) @ V_x ) ),
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_092_060_094isub_0622_H____ @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_T_092_060_094isub_0622____ @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
thf(4,axiom,
hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_T_092_060_094isub_0622____ @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ v_T_092_060_094isub_0622____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
thf(5,axiom,
! [V_P: $i,T_a: $i,V_xs: $i] : ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_xs @ V_xs @ tc_Type_Oty @ tc_Type_Oty ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widens__refl_0) ).
thf(6,axiom,
! [V_P: $i,T_a: $i,V_Ss: $i,V_Us: $i,V_Ts: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ss @ V_Us @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ts @ V_Us @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ss @ V_Ts @ tc_Type_Oty @ tc_Type_Oty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widens__trans_0) ).
thf(7,axiom,
( ( c_COMBI @ v_P @ t_a )
= v_P ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).
thf(8,axiom,
! [V_T_092_060_094isub_0622_H: $i] :
( v_thesis____
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622_H ) @ v_T_092_060_094isub_0622____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ V_T_092_060_094isub_0622_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
thf(9,axiom,
! [V_P: $i,V_T_092_060_094isub_0621: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ V_x ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0621 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCond_0) ).
thf(10,axiom,
! [V_P: $i,V_x: $i,V_T_092_060_094isub_0622: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_x ) )
| ~ ( 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_x )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCond_2) ).
thf(11,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(12,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(13,axiom,
! [V_P: $i,V_h: $i,T_a: $i,V_v: $i,V_T_H: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T_H ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_T ) @ V_T_H ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__widen_0) ).
thf(14,axiom,
! [V_P: $i,T_a: $i,V_S: $i,V_T: $i,V_U: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_S ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_U ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_S ) @ V_U ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__trans_0) ).
thf(15,axiom,
! [V_P: $i,T_a: $i,V_T: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_T ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).
thf(16,axiom,
! [V_P: $i,V_C: $i,V_E: $i,V_T: $i,V_V: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ V_C @ V_E @ V_P @ V_T @ V_V @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ V_T ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_2) ).
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_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(20,axiom,
! [V_Ea: $i,V_Ta: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_Ea @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XIH__1 @ V_Ea @ v_P @ V_Ta @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_Ea @ v_e_092_060_094isub_0622____ @ 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(21,axiom,
! [V_P: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_x ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCond_1) ).
thf(22,axiom,
c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OVal @ v_v____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_ONT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_null_0) ).
thf(23,axiom,
! [V_E: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__2__1 @ V_E @ v_P @ V_T @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ V_T ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_e_092_060_094isub_0622____ @ 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_FAssRed2_I2_J_1) ).
thf(24,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(25,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(26,axiom,
! [V_E: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ V_E @ v_P @ V_T @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ V_T ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_e_092_060_094isub_0622____ @ 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_FAssRed2_Ohyps_I2_J_1) ).
thf(27,axiom,
! [V_E: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_E @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__2__1 @ V_E @ v_P @ V_T @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_e_092_060_094isub_0622____ @ 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_FAssRed2_I2_J_0) ).
thf(28,axiom,
! [V_Ea: $i,V_Ta: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XIH__1 @ V_Ea @ v_P @ V_Ta @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ V_Ta ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_Ea @ v_e_092_060_094isub_0622____ @ 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(29,axiom,
! [V_E: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_E @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ V_E @ v_P @ V_T @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_e_092_060_094isub_0622____ @ 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_FAssRed2_Ohyps_I2_J_0) ).
thf(30,axiom,
! [V_val: $i,T_a: $i,V_val_H: $i] :
( ( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val_H @ T_a ) )
| ( V_val = V_val_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I3_J_0) ).
thf(31,axiom,
! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I212_J_0) ).
thf(32,axiom,
! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I213_J_0) ).
thf(33,axiom,
! [V_P: $i,V_h: $i,T_a: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ c_Value_Oval_ONull ) @ c_Type_Oty_ONT ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__NT_1) ).
thf(34,axiom,
! [V_val: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I84_J_0) ).
thf(35,axiom,
! [T_a: $i,V_x: $i] : ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_x @ V_x @ T_a @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__eq_0) ).
thf(36,axiom,
! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_0) ).
thf(37,axiom,
! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_list = V_list_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_1) ).
thf(38,axiom,
! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_a = V_a_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_2) ).
thf(39,axiom,
! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_3) ).
thf(40,axiom,
! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_e: $i] :
( ( V_T
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_5) ).
thf(41,axiom,
! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_0) ).
thf(42,axiom,
! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_1) ).
thf(43,axiom,
! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) )
| ( V_exp3 = V_exp3_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_2) ).
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_val: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I92_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,
c_in @ ( c_Pair @ ( c_Pair @ v_e_092_060_094isub_0622____ @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ v_e_092_060_094isub_0622_H____ @ ( c_Pair @ v_h_Ha____ @ v_l_Ha____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ v_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red_0) ).
thf(49,axiom,
! [V_P: $i,V_E: $i,V_T: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_e: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_3) ).
thf(50,axiom,
! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i,V_e: $i] :
( ( V_T
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_4) ).
thf(51,axiom,
! [V_P: $i,T_a: $i,V_Ts_H: $i,V_h: $i,V_vs: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ ( c_Conform_Osko__Conform__Xconfs__conv__map__1__1 @ V_P @ V_Ts_H @ V_h @ V_vs @ T_a ) @ V_Ts_H @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts_H @ tc_Value_Oval @ tc_Type_Oty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_confs__conv__map_1) ).
thf(52,axiom,
! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_1) ).
thf(53,axiom,
! [V_P: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_T: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_2) ).
thf(54,axiom,
! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_0) ).
thf(55,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(56,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(57,axiom,
! [V_P: $i,V_e_092_060_094isub_0620: $i,V_e_092_060_094isub_0621: $i,V_s_092_060_094isub_0620: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i,V_v: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OSeq @ V_e_092_060_094isub_0620 @ V_e_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0620 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Seq_0) ).
thf(58,axiom,
! [V_P: $i,V_x: $i,V_T_092_060_094isub_0622: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_x ) )
| ~ ( 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_x )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTCond_2) ).
thf(59,axiom,
! [V_P: $i,V_T_092_060_094isub_0621: $i,V_x: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ V_x ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0621 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTCond_0) ).
thf(60,axiom,
! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i,V_exp3: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I219_J_0) ).
thf(61,axiom,
! [V_P: $i,V_e_092_060_094isub_0621: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_v_092_060_094isub_0621: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Try_0) ).
thf(62,axiom,
! [V_v: $i,V_P: $i,V_h: $i,T_a: $i] :
( ( V_v = c_Value_Oval_ONull )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ c_Type_Oty_ONT ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__NT_0) ).
thf(63,axiom,
! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I93_J_0) ).
thf(64,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(65,axiom,
! [V_P: $i,T_a: $i,V_x: $i,V_xs: $i,V_xa: $i,V_xb: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ V_xa @ V_xb @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_xs @ V_xb @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_x ) @ V_xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widens__Cons_3) ).
thf(66,axiom,
! [V_P: $i,T_a: $i,V_T: $i,V_h: $i,V_v: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ ( c_Conform_Osko__Conform__Xconf__def__1__1 @ V_P @ V_T @ V_h @ V_v @ T_a ) ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__def_1) ).
thf(67,axiom,
c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ v_v____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_0) ).
thf(68,axiom,
! [V_P: $i,V_v: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_092_060_094isub_0622 @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedSeq_0) ).
thf(69,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I207_J_0) ).
thf(70,axiom,
! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_c: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I3_J_1) ).
thf(71,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(72,axiom,
! [V_P: $i,V_E: $i,V_T: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i,V_e: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_3) ).
thf(73,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(74,axiom,
! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_T: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I5_J_0) ).
thf(75,axiom,
! [V_P: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_x ) )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_1) ).
thf(76,axiom,
! [V_h: $i,V_h_H: $i,V_P: $i,V_e: $i,V_l: $i,V_e_H: $i,V_l_H: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_eval__hext_0) ).
thf(77,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(78,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(79,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(80,axiom,
! [V_P: $i,V_x: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_x ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTCond_1) ).
thf(81,axiom,
! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i,V_e: $i] :
( ( V_T
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_5) ).
thf(82,axiom,
! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I206_J_0) ).
thf(83,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I87_J_0) ).
thf(84,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_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_T_092_060_094isub_0621 ) )
| ~ ( 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_WTBinOpEq_1) ).
thf(85,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_0621: $i,V_T_092_060_094isub_0622: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ 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_WTBinOpEq_0) ).
thf(86,axiom,
! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_1) ).
thf(87,axiom,
! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_T: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_2) ).
thf(88,axiom,
! [V_P: $i,V_C: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_V: $i,V_e_092_060_094isub_0622: $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_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I5_J_2) ).
thf(89,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(90,axiom,
c_Type_Oty_ONT != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I13_J_0) ).
thf(91,axiom,
! [V_val: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I86_J_0) ).
thf(92,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( V_xs = V_ys )
| ~ ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_xs @ V_ys @ T_a @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__eq_1) ).
thf(93,axiom,
! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I218_J_0) ).
thf(94,axiom,
! [V_P: $i,V_E: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_0) ).
thf(95,axiom,
! [V_P: $i,V_v: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedTry_0) ).
thf(96,axiom,
! [V_P: $i,T_a: $i,V_C: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ c_Type_Oty_ONT ) @ ( c_Type_Oty_OClass @ V_C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__Class_2) ).
thf(97,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(98,axiom,
! [V_P: $i,V_h_H: $i,T_a: $i,V_vs: $i,V_Ts: $i,V_h: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h_H @ T_a ) @ V_vs @ V_Ts @ tc_Value_Oval @ tc_Type_Oty )
| ~ ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts @ tc_Value_Oval @ tc_Type_Oty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_confs__hext_0) ).
thf(99,axiom,
! [V_h: $i] : ( c_Objects_Ohext @ V_h @ V_h ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hext__refl_0) ).
thf(100,axiom,
! [V_P: $i,V_h_H: $i,T_a: $i,V_v: $i,V_T: $i,V_h: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h_H @ T_a ) @ V_v ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T ) )
| ~ ( c_Objects_Ohext @ V_h @ V_h_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__hext_0) ).
thf(101,axiom,
! [V_P: $i,V_T_092_060_094isub_0621: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ V_x ) )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0621 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_0) ).
thf(102,axiom,
! [V_P: $i,V_x: $i,V_T_092_060_094isub_0622: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_x ) )
| ~ ( 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_x )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_2) ).
thf(103,axiom,
! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_e: $i] :
( ( V_T
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_4) ).
thf(104,axiom,
! [V_P: $i,V_E: $i,V_e: $i,V_c: $i,V_T: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I3_J_1) ).
thf(105,axiom,
! [V_h: $i,V_h_H: $i,V_P: $i,V_es: $i,V_l: $i,V_es_H: $i,V_l_H: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_BigStep_Oevals @ V_P @ V_es @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ V_es_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_evals__hext_0) ).
thf(106,axiom,
! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_C: $i,V_T: $i,V_V: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ V_C @ V_E @ V_P @ V_T @ V_V @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_0) ).
thf(107,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_ONT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I12_J_0) ).
thf(108,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I85_J_0) ).
thf(109,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(110,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(111,axiom,
! [V_P: $i,V_h: $i,T_a: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ c_Value_Oval_ONull ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ c_Type_Oty_ONT ) @ V_T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__Null_1) ).
thf(112,axiom,
! [V_P: $i,T_a: $i,V_T: $i,V_h: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ c_Type_Oty_ONT ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ c_Value_Oval_ONull ) @ V_T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__Null_0) ).
thf(113,axiom,
v_v____ = c_Value_Oval_ONull,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_calculation_0) ).
thf(114,axiom,
! [V_P: $i,V_h: $i,T_a: $i,V_vs: $i,V_Ts_H: $i,V_Ts: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts_H @ tc_Value_Oval @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ts @ V_Ts_H @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts @ tc_Value_Oval @ tc_Type_Oty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_confs__widens_0) ).
thf(115,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_OWhile @ 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_I179_J_0) ).
thf(116,axiom,
! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I101_J_0) ).
thf(117,axiom,
! [V_v: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_ORedTry_0) ).
thf(118,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(119,axiom,
! [V_xs: $i,V_x: $i,T_a: $i] :
( V_xs
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
thf(120,axiom,
! [V_x: $i,V_t: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_t @ T_a )
!= V_t ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).
thf(121,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I209_J_0) ).
thf(122,axiom,
! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I114_J_0) ).
thf(123,axiom,
! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I13_J_1) ).
thf(124,axiom,
! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I13_J_0) ).
thf(125,axiom,
! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I176_J_0) ).
thf(126,axiom,
! [V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e_H @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OBinOpRed1_0) ).
thf(127,axiom,
! [V_s_H: $i,V_s: $i,V_P: $i,V_v: $i,V_e_H: $i] :
( ( V_s_H = V_s )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__cases_I1_J_1) ).
thf(128,axiom,
! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I162_J_0) ).
thf(129,axiom,
! [V_P: $i,V_v_092_060_094isub_0621: $i,V_bop: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OBinOpRed2_0) ).
thf(130,axiom,
! [V_P: $i,V_x: $i,V_y: $i,V_xs: $i,T_a: $i,V_ys: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons_0) ).
thf(131,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(132,axiom,
! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I77_J_0) ).
thf(133,axiom,
! [V_v: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_ORedSeq_0) ).
thf(134,axiom,
! [V_S: $i,V_x: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_S @ V_x ) )
| ~ ( c_in @ V_x @ V_S @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
thf(135,axiom,
! [V_x: $i,V_S: $i,T_a: $i] :
( ( c_in @ V_x @ V_S @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_S @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
thf(136,axiom,
! [V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e_H @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OSeqRed_0) ).
thf(137,axiom,
! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I214_J_0) ).
thf(138,axiom,
! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I79_J_0) ).
thf(139,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I163_J_0) ).
thf(140,axiom,
! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I169_J_0) ).
thf(141,axiom,
! [V_P: $i,V_e: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OTryCatch @ V_e @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OTryCatch @ V_e_H @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OTryRed_0) ).
thf(142,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(143,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i,V_exp3: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I215_J_0) ).
thf(144,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_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ~ ( 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_I5_J_0) ).
thf(145,axiom,
! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OFAcc @ V_e_H @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OFAccRed_0) ).
thf(146,axiom,
! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OFAss @ V_e_H @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OFAssRed1_0) ).
thf(147,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I177_J_0) ).
thf(148,axiom,
! [V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I71_J_0) ).
thf(149,axiom,
! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I183_J_0) ).
thf(150,axiom,
! [V_h: $i,V_h_H: $i,V_e: $i,V_l: $i,V_e_H: $i,V_l_H: $i,V_P: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__hext__incr_0) ).
thf(151,axiom,
! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I223_J_0) ).
thf(152,axiom,
! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,T_b: $i,V_x: $i,V_y: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons_1) ).
thf(153,axiom,
! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I98_J_0) ).
thf(154,axiom,
! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OCond @ V_e_H @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OCondRed_0) ).
thf(155,axiom,
! [V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OFAssRed2_0) ).
thf(156,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I109_J_0) ).
thf(157,axiom,
! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I182_J_0) ).
thf(158,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I208_J_0) ).
thf(159,axiom,
! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I110_J_0) ).
thf(160,axiom,
! [V_exp1: $i,V_bop: $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_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I100_J_0) ).
thf(161,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(162,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I111_J_0) ).
thf(163,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(164,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons_2) ).
thf(165,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i,V_xa: $i,V_xb: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_xb @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons1_3) ).
thf(166,axiom,
! [V_P: $i,V_x: $i,V_xa: $i,T_a: $i,V_y: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xa @ V_ys @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons2_3) ).
thf(167,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(168,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(169,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(170,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(171,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(172,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(173,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(174,axiom,
! [V_P: $i,V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OSeq @ V_e @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OSeq @ V_e_H @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OSeqRed_0) ).
thf(175,axiom,
! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I168_J_0) ).
thf(176,axiom,
! [V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e_H @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OFAccRed_0) ).
thf(177,axiom,
! [V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e_H @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OFAssRed1_0) ).
thf(178,axiom,
! [V_val: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I88_J_0) ).
thf(179,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(180,axiom,
! [V_e_H: $i,V_v: $i,V_P: $i,V_s: $i,V_s_H: $i] :
( ( V_e_H
= ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__cases_I1_J_0) ).
thf(181,axiom,
! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I115_J_0) ).
thf(182,axiom,
! [V_P: $i,V_v: $i,V_s: $i] : ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Val_0) ).
thf(183,axiom,
! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ 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_I106_J_0) ).
thf(184,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(185,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I107_J_0) ).
thf(186,axiom,
! [V_P: $i,V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBinOp @ V_e @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OBinOp @ V_e_H @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OBinOpRed1_0) ).
thf(187,axiom,
! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I222_J_0) ).
thf(188,axiom,
! [V_v_092_060_094isub_0621: $i,V_bop: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OBinOpRed2_0) ).
thf(189,axiom,
! [V_e: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e_H @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OTryRed_0) ).
thf(190,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I164_J_0) ).
thf(191,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I89_J_0) ).
thf(192,axiom,
! [V_val: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I70_J_0) ).
thf(193,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(194,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(195,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(196,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I178_J_0) ).
thf(197,axiom,
! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I108_J_0) ).
thf(198,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_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ~ ( 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_WTrtBinOpEq_0) ).
thf(199,axiom,
! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_a = V_a_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
thf(200,axiom,
! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_list = V_list_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
thf(201,axiom,
! [V_val: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ 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_I76_J_0) ).
thf(202,axiom,
! [V_P: $i,V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OFAssRed2_0) ).
thf(203,axiom,
! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e_H @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OCondRed_0) ).
thf(204,axiom,
! [V_val: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I78_J_0) ).
thf(205,axiom,
! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_2) ).
thf(206,axiom,
! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) )
| ( V_bop = V_bop_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_1) ).
thf(207,axiom,
! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_0) ).
thf(208,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OWhile @ 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_I165_J_0) ).
thf(209,axiom,
! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I99_J_0) ).
thf(210,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(211,axiom,
! [V_b: $i,V_c: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_b @ ( c_Expr_Oexp_OSeq @ V_c @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_ORedWhile_0) ).
thf(212,axiom,
! [V_P: $i,V_E: $i,V_s_H: $i,V_s: $i,V_e: $i,V_T: $i,V_e_H: $i] :
( ( c_TypeSafe__Mirabelle_Osconf @ V_P @ V_E @ V_s_H )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ V_P @ V_E @ V_s )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ ( c_State_Ohp @ V_s ) @ V_E @ V_e @ V_T )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__preserves__sconf_0) ).
thf(213,axiom,
! [V_e: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_v: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_TryRedsVal_0) ).
thf(214,axiom,
! [V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_092_060_094isub_0622_H: $i,V_s_092_060_094isub_0622: $i,V_P: $i,V_s_092_060_094isub_0621: $i,V_v_092_060_094isub_0621: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SeqReds2_0) ).
thf(215,axiom,
! [V_r: $i,T_a: $i] :
( ( c_Transitive__Closure_Ortrancl @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ T_a )
= ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__idemp_0) ).
thf(216,axiom,
! [V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ThrowReds_0) ).
thf(217,axiom,
! [V_b: $i,V_c: $i,V_s: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WhileFReds_0) ).
thf(218,axiom,
! [V_a: $i,V_c: $i,T_a: $i,V_r: $i,V_b: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl_Ortrancl__into__rtrancl_0) ).
thf(219,axiom,
! [V_a: $i,V_c: $i,T_a: $i,V_r: $i,V_b: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__rtrancl__into__rtrancl_0) ).
thf(220,axiom,
! [V_a: $i,V_c: $i,T_a: $i,V_r: $i,V_b: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__trans_0) ).
thf(221,axiom,
! [V_a: $i,T_a: $i,V_r: $i] : ( c_in @ ( c_Pair @ V_a @ V_a @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl_Ortrancl__refl_0) ).
thf(222,axiom,
! [V_x: $i,T_a: $i,V_R: $i] : ( c_in @ ( c_Pair @ V_x @ V_x @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_R @ T_a ) @ ( tc_prod @ T_a @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__eq__or__trancl_1) ).
thf(223,axiom,
c_Value_Oval_ONull != c_Value_Oval_OUnit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_val_Osimps_I5_J_0) ).
thf(224,axiom,
! [V_p: $i,V_r: $i,T_a: $i] :
( ( c_in @ V_p @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ V_p @ V_r @ ( tc_prod @ T_a @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__into__rtrancl_0) ).
thf(225,axiom,
c_Value_Oval_OUnit != c_Value_Oval_ONull,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_val_Osimps_I4_J_0) ).
thf(226,axiom,
! [V_e: $i,V_M: $i,V_es: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e_H @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CallRedsObj_0) ).
thf(227,axiom,
! [V_C: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CastReds_0) ).
thf(228,axiom,
! [V_e: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ThrowRedsThrow_0) ).
thf(229,axiom,
! [V_V: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssReds_0) ).
thf(230,axiom,
! [V_e: $i,V_h: $i,V_l_092_060_094isub_0620: $i,V_l: $i,V_e_H: $i,V_h_H: $i,V_l_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ ( c_Map_Omap__add @ V_l_092_060_094isub_0620 @ V_l @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ ( c_Map_Omap__add @ V_l_092_060_094isub_0620 @ V_l_H @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Red__lcl__add_0) ).
thf(231,axiom,
! [V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_BinOpRedsThrow1_0) ).
thf(232,axiom,
! [V_b: $i,V_c: $i,V_s: $i,V_e: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WhileRedsThrow_0) ).
thf(233,axiom,
! [V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAssRedsThrow1_0) ).
thf(234,axiom,
! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CondRedsThrow_0) ).
thf(235,axiom,
! [V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SeqRedsThrow_0) ).
thf(236,axiom,
! [V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAccRedsThrow_0) ).
thf(237,axiom,
! [V_C: $i,V_e: $i,V_s: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CastRedsNull_0) ).
thf(238,axiom,
! [V_e_092_060_094isub_0621: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_P: $i,V_s_092_060_094isub_0621: $i,V_v_092_060_094isub_0621: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_BinOpRedsThrow2_0) ).
thf(239,axiom,
! [V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_P: $i,V_s_092_060_094isub_0621: $i,V_v: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e_092_060_094isub_0621 @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAssRedsThrow2_0) ).
thf(240,axiom,
! [V_x: $i,V_y: $i,T_a: $i,T_b: $i,V_S: $i,V_xs: $i,V_ys: $i] :
( ( c_in @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__list__all2__Cons_0) ).
thf(241,axiom,
! [V_S: $i,T_a: $i,T_b: $i,V_x: $i,V_xa: $i,V_y: $i,V_ys: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xa @ V_ys @ T_a @ T_b )
| ~ ( c_in @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__list__all2__Cons2_3) ).
thf(242,axiom,
! [V_S: $i,T_a: $i,T_b: $i,V_x: $i,V_xs: $i,V_xa: $i,V_xb: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xs @ V_xb @ T_a @ T_b )
| ~ ( c_in @ ( c_Pair @ V_x @ V_xa @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__list__all2__Cons1_3) ).
thf(243,axiom,
! [V_S: $i,T_a: $i,T_b: $i,V_x: $i,V_xs: $i,V_y: $i,V_ys: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_in @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__list__all2__Cons_2) ).
thf(244,axiom,
! [V_a: $i,V_a_H: $i,T_a: $i,V_r: $i,V_b: $i,T_b: $i,V_b_H: $i,V_s: $i] :
( ( V_a = V_a_H )
| ( c_in @ ( c_Pair @ V_a @ V_a_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_a_H @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lex__prod_0) ).
thf(245,axiom,
! [V_x: $i,V_b: $i,T_a: $i,T_b: $i,V_b_H: $i,V_r: $i,V_s: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_x @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_x @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) )
| ~ ( c_in @ ( c_Pair @ V_b @ V_b_H @ T_b @ T_b ) @ V_s @ ( tc_prod @ T_b @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lex__prod_3) ).
thf(246,axiom,
! [V_a: $i,V_b: $i,T_a: $i,T_b: $i,V_a_H: $i,V_b_H: $i,V_r: $i,V_s: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_a_H @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_a_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lex__prod_2) ).
thf(247,axiom,
! [V_b: $i,V_b_H: $i,T_b: $i,V_s: $i,V_a: $i,V_a_H: $i,T_a: $i,V_r: $i] :
( ( c_in @ ( c_Pair @ V_b @ V_b_H @ T_b @ T_b ) @ V_s @ ( tc_prod @ T_b @ T_b ) )
| ( c_in @ ( c_Pair @ V_a @ V_a_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_a_H @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lex__prod_1) ).
thf(248,axiom,
! [V_x: $i,V_y_H: $i,T_a: $i,T_b: $i,V_y: $i,V_P: $i,V_R: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_x @ V_y_H @ T_a @ T_b ) @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Recdef_Osame__fst @ V_P @ V_R @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) )
| ~ ( c_in @ ( c_Pair @ V_y_H @ V_y @ T_b @ T_b ) @ ( hAPP @ V_R @ V_x ) @ ( tc_prod @ T_b @ T_b ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_same__fstI_0) ).
thf(249,axiom,
! [V_C: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OCastRed_0) ).
thf(250,axiom,
! [V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OThrowThrow_0) ).
thf(251,axiom,
! [V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OThrowRed_0) ).
thf(252,axiom,
! [V_V: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OLAssRed_0) ).
thf(253,axiom,
! [V_e: $i,V_M: $i,V_es: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e_H @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OCallObj_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_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(255,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(256,axiom,
! [V_V: $i,V_T: $i,V_u: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_ORedBlock_0) ).
thf(257,axiom,
! [V_e: $i,V_h: $i,V_l_092_060_094isub_0620: $i,V_l: $i,V_e_H: $i,V_h_H: $i,V_l_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ ( c_Map_Omap__add @ V_l_092_060_094isub_0620 @ V_l @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ ( c_Map_Omap__add @ V_l_092_060_094isub_0620 @ V_l_H @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__lcl__add_0) ).
thf(258,axiom,
! [V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OBinOpThrow1_0) ).
thf(259,axiom,
! [V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e_H @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_BinOp1Reds_0) ).
thf(260,axiom,
! [V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e_H @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAssReds1_0) ).
thf(261,axiom,
! [V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OFAssThrow1_0) ).
thf(262,axiom,
! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e_H @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CondReds_0) ).
thf(263,axiom,
! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OCondThrow_0) ).
thf(264,axiom,
! [V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e_H @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SeqReds_0) ).
thf(265,axiom,
! [V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OSeqThrow_0) ).
thf(266,axiom,
! [V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e_H @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAccReds_0) ).
thf(267,axiom,
! [V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OFAccThrow_0) ).
thf(268,axiom,
! [V_e: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e_H @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_TryReds_0) ).
thf(269,axiom,
! [V_P: $i,V_b: $i,V_c: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_b @ ( c_Expr_Oexp_OSeq @ V_c @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unfold__while_1) ).
thf(270,axiom,
! [V_P: $i,V_b: $i,V_c: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_b @ ( c_Expr_Oexp_OSeq @ V_c @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unfold__while_0) ).
thf(271,axiom,
! [V_P: $i,V_b: $i,V_c: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OCond @ V_b @ ( c_Expr_Oexp_OSeq @ V_c @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedWhile_0) ).
thf(272,axiom,
! [V_C: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_ORedCastNull_0) ).
thf(273,axiom,
! [V_P: $i,V_h_H: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i,V_l: $i,V_e_H: $i,V_l_H: $i] :
( ( c_Conform_Ohconf @ V_P @ V_h_H @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Ohconf @ V_P @ V_h @ ( 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 @ V_T )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__preserves__hconf_0) ).
thf(274,axiom,
! [V_P: $i,V_h_H: $i,V_l_H: $i,V_E: $i,V_h: $i,V_l: $i,V_e: $i,V_T: $i,V_e_H: $i] :
( ( c_Conform_Olconf @ V_P @ V_h_H @ V_l_H @ V_E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Olconf @ V_P @ V_h @ V_l @ V_E @ ( 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 @ V_T )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__preserves__lconf_0) ).
thf(275,axiom,
! [V_v_092_060_094isub_0621: $i,V_bop: $i,V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OBinOpThrow2_0) ).
thf(276,axiom,
! [V_v: $i,V_bop: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_BinOp2Reds_0) ).
thf(277,axiom,
! [V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OFAssThrow2_0) ).
thf(278,axiom,
! [V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_FAssReds2_0) ).
thf(279,axiom,
! [V_P: $i,V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OFAssThrow2_0) ).
thf(280,axiom,
! [V_P: $i,V_v_092_060_094isub_0621: $i,V_bop: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OBinOpThrow2_0) ).
thf(281,axiom,
! [V_P: $i,V_C: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedCastNull_0) ).
thf(282,axiom,
! [V_P: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i,V_v: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OFAss @ V_e_092_060_094isub_0621 @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OFAssThrow2_0) ).
thf(283,axiom,
! [V_V: $i,V_T: $i,V_v: $i,V_u: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_ORedInitBlock_0) ).
thf(284,axiom,
! [V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_ORedCondF_0) ).
thf(285,axiom,
! [V_P: $i,V_e_092_060_094isub_0621: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i,V_v_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OBinOpThrow2_0) ).
thf(286,axiom,
! [V_P: $i,V_C: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CastNull_0) ).
thf(287,axiom,
! [V_f: $i,V_g: $i,T_a: $i,T_b: $i,V_h: $i] :
( ( c_Map_Omap__le @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ V_h @ T_a @ T_b )
| ~ ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ T_a @ T_b )
| ~ ( c_Map_Omap__le @ V_g @ V_h @ T_a @ T_b )
| ~ ( c_Map_Omap__le @ V_f @ V_h @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__add__le__mapI_0) ).
thf(288,axiom,
! [V_P: $i,V_C: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OCastThrow_0) ).
thf(289,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OWhile @ 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_I65_J_0) ).
thf(290,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(291,axiom,
! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] : ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_g @ V_f @ T_a @ T_b ) @ T_a @ T_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__map__add_0) ).
thf(292,axiom,
! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OFAssThrow1_0) ).
thf(293,axiom,
! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I166_J_0) ).
thf(294,axiom,
! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I157_J_0) ).
thf(295,axiom,
! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I152_J_0) ).
thf(296,axiom,
! [V_exp_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I91_J_0) ).
thf(297,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_OCall @ 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_I57_J_0) ).
thf(298,axiom,
! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I158_J_0) ).
thf(299,axiom,
! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I96_J_0) ).
thf(300,axiom,
! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OFAccThrow_0) ).
thf(301,axiom,
! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I180_J_0) ).
thf(302,axiom,
! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I171_J_0) ).
thf(303,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(304,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(305,axiom,
! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I113_J_0) ).
thf(306,axiom,
! [V_P: $i,V_e_092_060_094isub_0621: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OBinOpThrow1_0) ).
thf(307,axiom,
! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I81_J_0) ).
thf(308,axiom,
! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I190_J_0) ).
thf(309,axiom,
! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I172_J_0) ).
thf(310,axiom,
! [V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_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_I167_J_0) ).
thf(311,axiom,
! [V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I193_J_0) ).
thf(312,axiom,
! [V_a_H: $i,V_exp_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I75_J_0) ).
thf(313,axiom,
! [V_P: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OThrowRed_0) ).
thf(314,axiom,
! [V_P: $i,V_h_H: $i,V_l: $i,V_E: $i,T_a: $i,V_h: $i] :
( ( c_Conform_Olconf @ V_P @ V_h_H @ V_l @ V_E @ T_a )
| ~ ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_Conform_Olconf @ V_P @ V_h @ V_l @ V_E @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lconf__hext_0) ).
thf(315,axiom,
! [V_exp_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I67_J_0) ).
thf(316,axiom,
! [V_P: $i,V_V: $i,V_T: $i,V_u: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedBlock_0) ).
thf(317,axiom,
! [V_exp_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I203_J_0) ).
thf(318,axiom,
! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I159_J_0) ).
thf(319,axiom,
! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I185_J_0) ).
thf(320,axiom,
! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_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_I181_J_0) ).
thf(321,axiom,
! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I148_J_0) ).
thf(322,axiom,
! [V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_092_060_094isub_0622 @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedCondF_0) ).
thf(323,axiom,
! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I59_J_0) ).
thf(324,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) )
| ( V_list2 = V_list2_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_2) ).
thf(325,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) )
| ( V_list1 = V_list1_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_1) ).
thf(326,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) )
| ( V_exp = V_exp_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_0) ).
thf(327,axiom,
! [V_P: $i,V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OBinOpThrow1_0) ).
thf(328,axiom,
! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I83_J_0) ).
thf(329,axiom,
! [V_P: $i,V_C: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OCastThrow_0) ).
thf(330,axiom,
! [V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I224_J_0) ).
thf(331,axiom,
! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I173_J_0) ).
thf(332,axiom,
! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WhileCondThrow_0) ).
thf(333,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(334,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_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I56_J_0) ).
thf(335,axiom,
! [V_P: $i,V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OSeqThrow_0) ).
thf(336,axiom,
! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OCondThrow_0) ).
thf(337,axiom,
! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I103_J_0) ).
thf(338,axiom,
! [V_a: $i,V_exp: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I136_J_0) ).
thf(339,axiom,
! [V_a: $i,V_exp: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I140_J_0) ).
thf(340,axiom,
! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_a: $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_OLAss @ V_a @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I139_J_0) ).
thf(341,axiom,
! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_P: $i,V_s_092_060_094isub_0621: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CondReds2F_0) ).
thf(342,axiom,
! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I211_J_0) ).
thf(343,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I189_J_0) ).
thf(344,axiom,
! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I195_J_0) ).
thf(345,axiom,
! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I200_J_0) ).
thf(346,axiom,
! [V_a_H: $i,V_exp_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I51_J_0) ).
thf(347,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I64_J_0) ).
thf(348,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I63_J_0) ).
thf(349,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(350,axiom,
! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I69_J_0) ).
thf(351,axiom,
! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I192_J_0) ).
thf(352,axiom,
! [V_P: $i,V_V: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OLAssThrow_0) ).
thf(353,axiom,
! [V_a: $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_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I138_J_0) ).
thf(354,axiom,
! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I137_J_0) ).
thf(355,axiom,
! [V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_Othrow @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) )
| ( V_exp = V_exp_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I14_J_0) ).
thf(356,axiom,
! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCall @ 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_I186_J_0) ).
thf(357,axiom,
! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_H @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ V_e_H @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CondF_0) ).
thf(358,axiom,
! [V_P: $i,V_e: $i,V_M: $i,V_es: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OCallThrowObj_0) ).
thf(359,axiom,
! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I184_J_0) ).
thf(360,axiom,
! [V_C: $i,V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OCastThrow_0) ).
thf(361,axiom,
! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I188_J_0) ).
thf(362,axiom,
! [V_a_H: $i,V_exp_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I97_J_0) ).
thf(363,axiom,
! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I102_J_0) ).
thf(364,axiom,
! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OCondThrow_0) ).
thf(365,axiom,
! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ 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_I144_J_0) ).
thf(366,axiom,
! [V_g: $i,V_h: $i,T_a: $i,T_b: $i,V_f: $i] :
( ( c_Map_Omap__le @ V_g @ V_h @ T_a @ T_b )
| ~ ( c_Map_Omap__le @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ V_h @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__add__le__mapE_0) ).
thf(367,axiom,
! [V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I47_J_0) ).
thf(368,axiom,
! [V_a: $i,V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I150_J_0) ).
thf(369,axiom,
! [V_P: $i,V_e: $i,V_M: $i,V_ps: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_ps @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CallObjThrow_0) ).
thf(370,axiom,
! [V_P: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OThrowThrow_0) ).
thf(371,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(372,axiom,
! [V_val: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I74_J_0) ).
thf(373,axiom,
! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WhileF_0) ).
thf(374,axiom,
! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I105_J_0) ).
thf(375,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(376,axiom,
! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I46_J_0) ).
thf(377,axiom,
! [V_a: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I142_J_0) ).
thf(378,axiom,
! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I216_J_0) ).
thf(379,axiom,
! [V_b: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_P: $i,V_s_092_060_094isub_0621: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_c @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WhileTRedsThrow_0) ).
thf(380,axiom,
! [V_V: $i,V_T: $i,V_v: $i,V_a: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OInitBlockThrow_0) ).
thf(381,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I187_J_0) ).
thf(382,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(383,axiom,
! [V_P: $i,V_V: $i,V_T: $i,V_v: $i,V_u: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedInitBlock_0) ).
thf(384,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I191_J_0) ).
thf(385,axiom,
! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I153_J_0) ).
thf(386,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I147_J_0) ).
thf(387,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(388,axiom,
! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I204_J_0) ).
thf(389,axiom,
! [V_list: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I50_J_0) ).
thf(390,axiom,
! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) )
| ( V_a = V_a_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_0) ).
thf(391,axiom,
! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) )
| ( V_ty = V_ty_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_1) ).
thf(392,axiom,
! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) )
| ( V_exp = V_exp_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_2) ).
thf(393,axiom,
! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I221_J_0) ).
thf(394,axiom,
! [V_val_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OVal @ V_val_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I45_J_0) ).
thf(395,axiom,
! [V_val: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I82_J_0) ).
thf(396,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(397,axiom,
! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I194_J_0) ).
thf(398,axiom,
! [V_val: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I80_J_0) ).
thf(399,axiom,
! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I143_J_0) ).
thf(400,axiom,
! [V_val: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I90_J_0) ).
thf(401,axiom,
! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OFAccThrow_0) ).
thf(402,axiom,
! [V_e: $i,V_M: $i,V_es: $i,V_s0: $i,V_a: $i,V_s_092_060_094isub_0621: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s0 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s0 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CallRedsThrowObj_0) ).
thf(403,axiom,
! [V_e: $i,V_M: $i,V_es: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OCallThrowObj_0) ).
thf(404,axiom,
! [V_S: $i,T_a: $i,T_b: $i,V_xs: $i,V_ys: $i,V_x: $i,V_y: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__list__all2__Cons_1) ).
thf(405,axiom,
! [V_P: $i,V_C: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OCast @ V_C @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OCastRed_0) ).
thf(406,axiom,
! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I104_J_0) ).
thf(407,axiom,
! [V_exp_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I151_J_0) ).
thf(408,axiom,
! [V_P: $i,V_V: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OLAssThrow_0) ).
thf(409,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I197_J_0) ).
thf(410,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(411,axiom,
! [V_P: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OFAss @ V_e_092_060_094isub_0621 @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OFAssThrow1_0) ).
thf(412,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_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I156_J_0) ).
thf(413,axiom,
! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I112_J_0) ).
thf(414,axiom,
! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I210_J_0) ).
thf(415,axiom,
! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I205_J_0) ).
thf(416,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(417,axiom,
! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I146_J_0) ).
thf(418,axiom,
! [V_a: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) )
| ( V_a = V_a_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I6_J_0) ).
thf(419,axiom,
! [V_a: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) )
| ( V_exp = V_exp_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I6_J_1) ).
thf(420,axiom,
! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I62_J_0) ).
thf(421,axiom,
! [V_P: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OThrowThrow_0) ).
thf(422,axiom,
! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I170_J_0) ).
thf(423,axiom,
! [V_P: $i,V_V: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OLAss @ V_V @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OLAssRed_0) ).
thf(424,axiom,
! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I68_J_0) ).
thf(425,axiom,
! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I225_J_0) ).
thf(426,axiom,
! [V_P: $i,V_e: $i,V_M: $i,V_es: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OCall @ V_e_H @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OCallObj_0) ).
thf(427,axiom,
! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I141_J_0) ).
thf(428,axiom,
! [V_V: $i,V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OLAssThrow_0) ).
thf(429,axiom,
! [V_C: $i,V_e: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CastRedsThrow_0) ).
thf(430,axiom,
! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] :
( ( ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b )
!= ( c_Map_Omap__add @ V_g @ V_f @ T_a @ T_b ) )
| ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__iff__map__add__commute_1) ).
thf(431,axiom,
! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] :
( ( ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b )
= ( c_Map_Omap__add @ V_g @ V_f @ T_a @ T_b ) )
| ~ ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__iff__map__add__commute_0) ).
thf(432,axiom,
! [V_list: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I58_J_0) ).
thf(433,axiom,
! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I198_J_0) ).
thf(434,axiom,
! [V_P: $i,V_e_092_060_094isub_0620: $i,V_e_092_060_094isub_0621: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OSeq @ V_e_092_060_094isub_0620 @ V_e_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0620 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OSeqThrow_0) ).
thf(435,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I201_J_0) ).
thf(436,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I145_J_0) ).
thf(437,axiom,
! [V_list: $i,V_exp: $i,T_a: $i,V_val_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I44_J_0) ).
thf(438,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I149_J_0) ).
thf(439,axiom,
! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I199_J_0) ).
thf(440,axiom,
! [V_list: $i,V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I66_J_0) ).
thf(441,axiom,
! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I202_J_0) ).
thf(442,axiom,
! [V_V: $i,V_e: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssRedsThrow_0) ).
thf(443,axiom,
! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I220_J_0) ).
thf(444,axiom,
! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i,V_exp3: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I217_J_0) ).
thf(445,axiom,
! [V_m1: $i,V_m2: $i,V_m3: $i,T_a: $i,T_b: $i] :
( ( c_Map_Omap__add @ V_m1 @ ( c_Map_Omap__add @ V_m2 @ V_m3 @ T_a @ T_b ) @ T_a @ T_b )
= ( c_Map_Omap__add @ ( c_Map_Omap__add @ V_m1 @ V_m2 @ T_a @ T_b ) @ V_m3 @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__add__assoc_0) ).
thf(446,axiom,
! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ 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_I196_J_0) ).
thf(447,axiom,
! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_P: $i,V_s_092_060_094isub_0621: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CondReds2T_0) ).
thf(448,axiom,
! [V_b: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0623: $i,V_P: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i,V_v_092_060_094isub_0621: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e @ V_s_092_060_094isub_0623 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e @ V_s_092_060_094isub_0623 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_c @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WhileTReds_0) ).
thf(449,axiom,
! [V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_ORedCondT_0) ).
thf(450,axiom,
! [V_V: $i,V_T: $i,V_a: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_red__reds_OBlockThrow_0) ).
thf(451,axiom,
! [V_P: $i,V_V: $i,V_T: $i,V_v: $i,V_a: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OInitBlockThrow_0) ).
thf(452,axiom,
! [V_P: $i,V_V: $i,V_T: $i,V_a: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OBlockThrow_0) ).
thf(453,axiom,
! [V_nat_H: $i] :
( c_Value_Oval_ONull
!= ( c_Value_Oval_OAddr @ V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_val_Osimps_I16_J_0) ).
thf(454,axiom,
! [V_nat_H: $i] :
( c_Value_Oval_OUnit
!= ( c_Value_Oval_OAddr @ V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_val_Osimps_I10_J_0) ).
thf(455,axiom,
! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_H @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0621 @ V_e_H @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CondT_0) ).
thf(456,axiom,
! [V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_092_060_094isub_0621 @ V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedCondT_0) ).
thf(457,axiom,
! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e_092_060_094isub_0623: $i,V_s_092_060_094isub_0623: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i,V_v_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_092_060_094isub_0623 @ V_s_092_060_094isub_0623 )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ V_e_092_060_094isub_0623 @ V_s_092_060_094isub_0623 )
| ~ ( c_BigStep_Oeval @ V_P @ V_c @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WhileT_0) ).
thf(458,axiom,
! [V_nat_H: $i] :
( ( c_Value_Oval_OAddr @ V_nat_H )
!= c_Value_Oval_ONull ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_val_Osimps_I17_J_0) ).
thf(459,axiom,
! [V_nat_H: $i] :
( ( c_Value_Oval_OAddr @ V_nat_H )
!= c_Value_Oval_OUnit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_val_Osimps_I11_J_0) ).
thf(460,axiom,
! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_c @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WhileBodyThrow_0) ).
thf(461,axiom,
! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Value_Oval_OAddr @ V_nat )
!= ( c_Value_Oval_OAddr @ V_nat_H ) )
| ( V_nat = V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_val_Osimps_I3_J_0) ).
thf(462,axiom,
! [V_P: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_a: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Throw_0) ).
thf(463,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(464,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[463]) ).
thf(465,negated_conjecture,
! [V_x: $i] :
( v_thesis____
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ v_T_092_060_094isub_0622____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(466,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(467,plain,
$false = $false,
inference(unfold_def,[status(thm)],[464]) ).
thf(468,plain,
( ( ! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_X ) @ V_Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(469,plain,
( ( ! [T_a: $i,V_x: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_x ) @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(470,plain,
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_T_092_060_094isub_0622____ @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(471,plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_T_092_060_094isub_0622____ @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ v_T_092_060_094isub_0622____ ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(472,plain,
( ( ! [V_P: $i,T_a: $i,V_xs: $i] : ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_xs @ V_xs @ tc_Type_Oty @ tc_Type_Oty ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(473,plain,
( ( ! [V_P: $i,T_a: $i,V_Ss: $i,V_Us: $i,V_Ts: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ss @ V_Us @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ts @ V_Us @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ss @ V_Ts @ tc_Type_Oty @ tc_Type_Oty ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(474,plain,
( ( ( c_COMBI @ v_P @ t_a )
= v_P )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(475,plain,
( ( ! [V_T_092_060_094isub_0622_H: $i] :
( v_thesis____
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622_H ) @ v_T_092_060_094isub_0622____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ V_T_092_060_094isub_0622_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(476,plain,
( ( ! [V_P: $i,V_T_092_060_094isub_0621: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ V_x ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0621 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(477,plain,
( ( ! [V_P: $i,V_x: $i,V_T_092_060_094isub_0622: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_x ) )
| ~ ( 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_x )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(478,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)],[11]) ).
thf(479,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)],[12]) ).
thf(480,plain,
( ( ! [V_P: $i,V_h: $i,T_a: $i,V_v: $i,V_T_H: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T_H ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_T ) @ V_T_H ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(481,plain,
( ( ! [V_P: $i,T_a: $i,V_S: $i,V_T: $i,V_U: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_S ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_U ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_S ) @ V_U ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(482,plain,
( ( ! [V_P: $i,T_a: $i,V_T: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_T ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(483,plain,
( ( ! [V_P: $i,V_C: $i,V_E: $i,V_T: $i,V_V: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ V_C @ V_E @ V_P @ V_T @ V_V @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ V_T ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(484,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(485,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(486,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)],[19]) ).
thf(487,plain,
( ( ! [V_Ea: $i,V_Ta: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_Ea @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XIH__1 @ V_Ea @ v_P @ V_Ta @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_Ea @ v_e_092_060_094isub_0622____ @ 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)],[20]) ).
thf(488,plain,
( ( ! [V_P: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_x ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(489,plain,
( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OVal @ v_v____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_ONT )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(490,plain,
( ( ! [V_E: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__2__1 @ V_E @ v_P @ V_T @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ V_T ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_e_092_060_094isub_0622____ @ 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)],[23]) ).
thf(491,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)],[24]) ).
thf(492,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)],[25]) ).
thf(493,plain,
( ( ! [V_E: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ V_E @ v_P @ V_T @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ V_T ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_e_092_060_094isub_0622____ @ 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)],[26]) ).
thf(494,plain,
( ( ! [V_E: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_E @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__2__1 @ V_E @ v_P @ V_T @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_e_092_060_094isub_0622____ @ 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)],[27]) ).
thf(495,plain,
( ( ! [V_Ea: $i,V_Ta: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XIH__1 @ V_Ea @ v_P @ V_Ta @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ V_Ta ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_Ea @ v_e_092_060_094isub_0622____ @ 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)],[28]) ).
thf(496,plain,
( ( ! [V_E: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_E @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ V_E @ v_P @ V_T @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_e_092_060_094isub_0622____ @ 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)],[29]) ).
thf(497,plain,
( ( ! [V_val: $i,T_a: $i,V_val_H: $i] :
( ( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val_H @ T_a ) )
| ( V_val = V_val_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(498,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(499,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(500,plain,
( ( ! [V_P: $i,V_h: $i,T_a: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ c_Value_Oval_ONull ) @ c_Type_Oty_ONT ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(501,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(502,plain,
( ( ! [T_a: $i,V_x: $i] : ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_x @ V_x @ T_a @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(503,plain,
( ( ! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(504,plain,
( ( ! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_list = V_list_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(505,plain,
( ( ! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(506,plain,
( ( ! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(507,plain,
( ( ! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_e: $i] :
( ( V_T
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(508,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(509,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(510,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) )
| ( V_exp3 = V_exp3_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(511,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(512,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(513,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(514,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(515,plain,
( ( c_in @ ( c_Pair @ ( c_Pair @ v_e_092_060_094isub_0622____ @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ v_e_092_060_094isub_0622_H____ @ ( c_Pair @ v_h_Ha____ @ v_l_Ha____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ v_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(516,plain,
( ( ! [V_P: $i,V_E: $i,V_T: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_e: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(517,plain,
( ( ! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i,V_e: $i] :
( ( V_T
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(518,plain,
( ( ! [V_P: $i,T_a: $i,V_Ts_H: $i,V_h: $i,V_vs: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ ( c_Conform_Osko__Conform__Xconfs__conv__map__1__1 @ V_P @ V_Ts_H @ V_h @ V_vs @ T_a ) @ V_Ts_H @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts_H @ tc_Value_Oval @ tc_Type_Oty ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(519,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(520,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_T: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(521,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(522,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)],[55]) ).
thf(523,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)],[56]) ).
thf(524,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0620: $i,V_e_092_060_094isub_0621: $i,V_s_092_060_094isub_0620: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i,V_v: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OSeq @ V_e_092_060_094isub_0620 @ V_e_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0620 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(525,plain,
( ( ! [V_P: $i,V_x: $i,V_T_092_060_094isub_0622: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_x ) )
| ~ ( 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_x )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(526,plain,
( ( ! [V_P: $i,V_T_092_060_094isub_0621: $i,V_x: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ V_x ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0621 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(527,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i,V_exp3: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(528,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_v_092_060_094isub_0621: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(529,plain,
( ( ! [V_v: $i,V_P: $i,V_h: $i,T_a: $i] :
( ( V_v = c_Value_Oval_ONull )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ c_Type_Oty_ONT ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(530,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(531,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)],[64]) ).
thf(532,plain,
( ( ! [V_P: $i,T_a: $i,V_x: $i,V_xs: $i,V_xa: $i,V_xb: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ V_xa @ V_xb @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_xs @ V_xb @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_x ) @ V_xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(533,plain,
( ( ! [V_P: $i,T_a: $i,V_T: $i,V_h: $i,V_v: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ ( c_Conform_Osko__Conform__Xconf__def__1__1 @ V_P @ V_T @ V_h @ V_v @ T_a ) ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(534,plain,
( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ v_v____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____ )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(535,plain,
( ( ! [V_P: $i,V_v: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_092_060_094isub_0622 @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(536,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(537,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_c: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(538,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)],[71]) ).
thf(539,plain,
( ( ! [V_P: $i,V_E: $i,V_T: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i,V_e: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(540,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)],[73]) ).
thf(541,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_T: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(542,plain,
( ( ! [V_P: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_x ) )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(543,plain,
( ( ! [V_h: $i,V_h_H: $i,V_P: $i,V_e: $i,V_l: $i,V_e_H: $i,V_l_H: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[76]) ).
thf(544,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)],[77]) ).
thf(545,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)],[78]) ).
thf(546,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)],[79]) ).
thf(547,plain,
( ( ! [V_P: $i,V_x: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_x ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(548,plain,
( ( ! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i,V_e: $i] :
( ( V_T
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(549,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(550,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(551,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_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_T_092_060_094isub_0621 ) )
| ~ ( 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)],[84]) ).
thf(552,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_0621: $i,V_T_092_060_094isub_0622: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ 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)],[85]) ).
thf(553,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_T: $i,V_e_092_060_094isub_0622: $i,V_e: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(554,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_T: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(555,plain,
( ( ! [V_P: $i,V_C: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_V: $i,V_e_092_060_094isub_0622: $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_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(556,plain,
( ( ! [V_P: $i,T_a: $i] :
( ( c_COMBI @ V_P @ T_a )
= V_P ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(557,plain,
( ( c_Type_Oty_ONT != c_Type_Oty_OBoolean )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(558,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(559,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( V_xs = V_ys )
| ~ ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_xs @ V_ys @ T_a @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(560,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(561,plain,
( ( ! [V_P: $i,V_E: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_T: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(562,plain,
( ( ! [V_P: $i,V_v: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(563,plain,
( ( ! [V_P: $i,T_a: $i,V_C: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ c_Type_Oty_ONT ) @ ( c_Type_Oty_OClass @ V_C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(564,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)],[97]) ).
thf(565,plain,
( ( ! [V_P: $i,V_h_H: $i,T_a: $i,V_vs: $i,V_Ts: $i,V_h: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h_H @ T_a ) @ V_vs @ V_Ts @ tc_Value_Oval @ tc_Type_Oty )
| ~ ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts @ tc_Value_Oval @ tc_Type_Oty ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(566,plain,
( ( ! [V_h: $i] : ( c_Objects_Ohext @ V_h @ V_h ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(567,plain,
( ( ! [V_P: $i,V_h_H: $i,T_a: $i,V_v: $i,V_T: $i,V_h: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h_H @ T_a ) @ V_v ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T ) )
| ~ ( c_Objects_Ohext @ V_h @ V_h_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(568,plain,
( ( ! [V_P: $i,V_T_092_060_094isub_0621: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ V_x ) )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0621 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(569,plain,
( ( ! [V_P: $i,V_x: $i,V_T_092_060_094isub_0622: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_e_092_060_094isub_0621: $i,V_e: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_x ) )
| ~ ( 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_x )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(570,plain,
( ( ! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_e: $i] :
( ( V_T
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(571,plain,
( ( ! [V_P: $i,V_E: $i,V_e: $i,V_c: $i,V_T: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(572,plain,
( ( ! [V_h: $i,V_h_H: $i,V_P: $i,V_es: $i,V_l: $i,V_es_H: $i,V_l_H: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_BigStep_Oevals @ V_P @ V_es @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ V_es_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[105]) ).
thf(573,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_C: $i,V_T: $i,V_V: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ V_C @ V_E @ V_P @ V_T @ V_V @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(574,plain,
( ( c_Type_Oty_OBoolean != c_Type_Oty_ONT )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(575,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(576,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)],[109]) ).
thf(577,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)],[110]) ).
thf(578,plain,
( ( ! [V_P: $i,V_h: $i,T_a: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ c_Value_Oval_ONull ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ c_Type_Oty_ONT ) @ V_T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(579,plain,
( ( ! [V_P: $i,T_a: $i,V_T: $i,V_h: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ c_Type_Oty_ONT ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ c_Value_Oval_ONull ) @ V_T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(580,plain,
( ( v_v____ = c_Value_Oval_ONull )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(581,plain,
( ( ! [V_P: $i,V_h: $i,T_a: $i,V_vs: $i,V_Ts_H: $i,V_Ts: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts_H @ tc_Value_Oval @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ts @ V_Ts_H @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts @ tc_Value_Oval @ tc_Type_Oty ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(582,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_OWhile @ 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)],[115]) ).
thf(583,plain,
( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(584,plain,
( ( ! [V_v: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(585,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)],[118]) ).
thf(586,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i] :
( V_xs
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(587,plain,
( ( ! [V_x: $i,V_t: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_t @ T_a )
!= V_t ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(588,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(589,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(590,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(591,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(592,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(593,plain,
( ( ! [V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e_H @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(594,plain,
( ( ! [V_s_H: $i,V_s: $i,V_P: $i,V_v: $i,V_e_H: $i] :
( ( V_s_H = V_s )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(595,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(596,plain,
( ( ! [V_P: $i,V_v_092_060_094isub_0621: $i,V_bop: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(597,plain,
( ( ! [V_P: $i,V_x: $i,V_y: $i,V_xs: $i,T_a: $i,V_ys: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(598,plain,
( ( ! [V_list_H: $i] :
( ( c_Type_Oty_OClass @ V_list_H )
!= c_Type_Oty_ONT ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(599,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(600,plain,
( ( ! [V_v: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(601,plain,
( ( ! [V_S: $i,V_x: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_S @ V_x ) )
| ~ ( c_in @ V_x @ V_S @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(602,plain,
( ( ! [V_x: $i,V_S: $i,T_a: $i] :
( ( c_in @ V_x @ V_S @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_S @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(603,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e_H @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(604,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(605,plain,
( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(606,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(607,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(608,plain,
( ( ! [V_P: $i,V_e: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OTryCatch @ V_e @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OTryCatch @ V_e_H @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(609,plain,
( ( ! [V_list_H: $i] :
( c_Type_Oty_OBoolean
!= ( c_Type_Oty_OClass @ V_list_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(610,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i,V_exp3: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(611,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_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ~ ( 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)],[144]) ).
thf(612,plain,
( ( ! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OFAcc @ V_e_H @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(613,plain,
( ( ! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OFAss @ V_e_H @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(614,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(615,plain,
( ( ! [V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(616,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(617,plain,
( ( ! [V_h: $i,V_h_H: $i,V_e: $i,V_l: $i,V_e_H: $i,V_l_H: $i,V_P: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(618,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(619,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,T_b: $i,V_x: $i,V_y: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(620,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(621,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OCond @ V_e_H @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(622,plain,
( ( ! [V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(623,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(624,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(625,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(626,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(627,plain,
( ( ! [V_exp1: $i,V_bop: $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_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(628,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)],[161]) ).
thf(629,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(630,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)],[163]) ).
thf(631,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(632,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i,V_xa: $i,V_xb: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_xb @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(633,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,T_a: $i,V_y: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xa @ V_ys @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(634,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)],[167]) ).
thf(635,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)],[168]) ).
thf(636,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)],[169]) ).
thf(637,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)],[170]) ).
thf(638,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)],[171]) ).
thf(639,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)],[172]) ).
thf(640,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)],[173]) ).
thf(641,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OSeq @ V_e @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OSeq @ V_e_H @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(642,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(643,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e_H @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(644,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e_H @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(645,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(646,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)],[179]) ).
thf(647,plain,
( ( ! [V_e_H: $i,V_v: $i,V_P: $i,V_s: $i,V_s_H: $i] :
( ( V_e_H
= ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(648,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(649,plain,
( ( ! [V_P: $i,V_v: $i,V_s: $i] : ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(650,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(651,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)],[184]) ).
thf(652,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(653,plain,
( ( ! [V_P: $i,V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBinOp @ V_e @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OBinOp @ V_e_H @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(654,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(655,plain,
( ( ! [V_v_092_060_094isub_0621: $i,V_bop: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(656,plain,
( ( ! [V_e: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e_H @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(657,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(658,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(659,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(660,plain,
( ( ! [V_list_H: $i] :
( ( c_Type_Oty_OClass @ V_list_H )
!= c_Type_Oty_OBoolean ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(661,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)],[194]) ).
thf(662,plain,
( ( ! [V_list_H: $i] :
( c_Type_Oty_ONT
!= ( c_Type_Oty_OClass @ V_list_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(663,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(664,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(665,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_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ~ ( 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)],[198]) ).
thf(666,plain,
( ( ! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(667,plain,
( ( ! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_list = V_list_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(668,plain,
( ( ! [V_val: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(669,plain,
( ( ! [V_P: $i,V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(670,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e_H @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(671,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(672,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(673,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) )
| ( V_bop = V_bop_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(674,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(675,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OWhile @ 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)],[208]) ).
thf(676,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(677,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)],[210]) ).
thf(678,plain,
( ( ! [V_b: $i,V_c: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_b @ ( c_Expr_Oexp_OSeq @ V_c @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(679,plain,
( ( ! [V_P: $i,V_E: $i,V_s_H: $i,V_s: $i,V_e: $i,V_T: $i,V_e_H: $i] :
( ( c_TypeSafe__Mirabelle_Osconf @ V_P @ V_E @ V_s_H )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ V_P @ V_E @ V_s )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ ( c_State_Ohp @ V_s ) @ V_E @ V_e @ V_T )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(680,plain,
( ( ! [V_e: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_v: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(681,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_092_060_094isub_0622_H: $i,V_s_092_060_094isub_0622: $i,V_P: $i,V_s_092_060_094isub_0621: $i,V_v_092_060_094isub_0621: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(682,plain,
( ( ! [V_r: $i,T_a: $i] :
( ( c_Transitive__Closure_Ortrancl @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ T_a )
= ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(683,plain,
( ( ! [V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[216]) ).
thf(684,plain,
( ( ! [V_b: $i,V_c: $i,V_s: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[217]) ).
thf(685,plain,
( ( ! [V_a: $i,V_c: $i,T_a: $i,V_r: $i,V_b: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[218]) ).
thf(686,plain,
( ( ! [V_a: $i,V_c: $i,T_a: $i,V_r: $i,V_b: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[219]) ).
thf(687,plain,
( ( ! [V_a: $i,V_c: $i,T_a: $i,V_r: $i,V_b: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[220]) ).
thf(688,plain,
( ( ! [V_a: $i,T_a: $i,V_r: $i] : ( c_in @ ( c_Pair @ V_a @ V_a @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(689,plain,
( ( ! [V_x: $i,T_a: $i,V_R: $i] : ( c_in @ ( c_Pair @ V_x @ V_x @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_R @ T_a ) @ ( tc_prod @ T_a @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[222]) ).
thf(690,plain,
( ( c_Value_Oval_ONull != c_Value_Oval_OUnit )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(691,plain,
( ( ! [V_p: $i,V_r: $i,T_a: $i] :
( ( c_in @ V_p @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ V_p @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(692,plain,
( ( c_Value_Oval_OUnit != c_Value_Oval_ONull )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(693,plain,
( ( ! [V_e: $i,V_M: $i,V_es: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e_H @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[226]) ).
thf(694,plain,
( ( ! [V_C: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(695,plain,
( ( ! [V_e: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[228]) ).
thf(696,plain,
( ( ! [V_V: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(697,plain,
( ( ! [V_e: $i,V_h: $i,V_l_092_060_094isub_0620: $i,V_l: $i,V_e_H: $i,V_h_H: $i,V_l_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ ( c_Map_Omap__add @ V_l_092_060_094isub_0620 @ V_l @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ ( c_Map_Omap__add @ V_l_092_060_094isub_0620 @ V_l_H @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(698,plain,
( ( ! [V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(699,plain,
( ( ! [V_b: $i,V_c: $i,V_s: $i,V_e: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(700,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(701,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(702,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(703,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(704,plain,
( ( ! [V_C: $i,V_e: $i,V_s: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(705,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_P: $i,V_s_092_060_094isub_0621: $i,V_v_092_060_094isub_0621: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(706,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_P: $i,V_s_092_060_094isub_0621: $i,V_v: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e_092_060_094isub_0621 @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(707,plain,
( ( ! [V_x: $i,V_y: $i,T_a: $i,T_b: $i,V_S: $i,V_xs: $i,V_ys: $i] :
( ( c_in @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(708,plain,
( ( ! [V_S: $i,T_a: $i,T_b: $i,V_x: $i,V_xa: $i,V_y: $i,V_ys: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xa @ V_ys @ T_a @ T_b )
| ~ ( c_in @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(709,plain,
( ( ! [V_S: $i,T_a: $i,T_b: $i,V_x: $i,V_xs: $i,V_xa: $i,V_xb: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xs @ V_xb @ T_a @ T_b )
| ~ ( c_in @ ( c_Pair @ V_x @ V_xa @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(710,plain,
( ( ! [V_S: $i,T_a: $i,T_b: $i,V_x: $i,V_xs: $i,V_y: $i,V_ys: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_in @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(711,plain,
( ( ! [V_a: $i,V_a_H: $i,T_a: $i,V_r: $i,V_b: $i,T_b: $i,V_b_H: $i,V_s: $i] :
( ( V_a = V_a_H )
| ( c_in @ ( c_Pair @ V_a @ V_a_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_a_H @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(712,plain,
( ( ! [V_x: $i,V_b: $i,T_a: $i,T_b: $i,V_b_H: $i,V_r: $i,V_s: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_x @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_x @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) )
| ~ ( c_in @ ( c_Pair @ V_b @ V_b_H @ T_b @ T_b ) @ V_s @ ( tc_prod @ T_b @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(713,plain,
( ( ! [V_a: $i,V_b: $i,T_a: $i,T_b: $i,V_a_H: $i,V_b_H: $i,V_r: $i,V_s: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_a_H @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_a_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(714,plain,
( ( ! [V_b: $i,V_b_H: $i,T_b: $i,V_s: $i,V_a: $i,V_a_H: $i,T_a: $i,V_r: $i] :
( ( c_in @ ( c_Pair @ V_b @ V_b_H @ T_b @ T_b ) @ V_s @ ( tc_prod @ T_b @ T_b ) )
| ( c_in @ ( c_Pair @ V_a @ V_a_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_a_H @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(715,plain,
( ( ! [V_x: $i,V_y_H: $i,T_a: $i,T_b: $i,V_y: $i,V_P: $i,V_R: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_x @ V_y_H @ T_a @ T_b ) @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Recdef_Osame__fst @ V_P @ V_R @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) )
| ~ ( c_in @ ( c_Pair @ V_y_H @ V_y @ T_b @ T_b ) @ ( hAPP @ V_R @ V_x ) @ ( tc_prod @ T_b @ T_b ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(716,plain,
( ( ! [V_C: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(717,plain,
( ( ! [V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(718,plain,
( ( ! [V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(719,plain,
( ( ! [V_V: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(720,plain,
( ( ! [V_e: $i,V_M: $i,V_es: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e_H @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(721,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)],[254]) ).
thf(722,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)],[255]) ).
thf(723,plain,
( ( ! [V_V: $i,V_T: $i,V_u: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[256]) ).
thf(724,plain,
( ( ! [V_e: $i,V_h: $i,V_l_092_060_094isub_0620: $i,V_l: $i,V_e_H: $i,V_h_H: $i,V_l_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ ( c_Map_Omap__add @ V_l_092_060_094isub_0620 @ V_l @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ ( c_Map_Omap__add @ V_l_092_060_094isub_0620 @ V_l_H @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(725,plain,
( ( ! [V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(726,plain,
( ( ! [V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e_H @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(727,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e_H @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(728,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(729,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e_H @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(730,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(731,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e_H @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(732,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(733,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e_H @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(734,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(735,plain,
( ( ! [V_e: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e_H @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(736,plain,
( ( ! [V_P: $i,V_b: $i,V_c: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_b @ ( c_Expr_Oexp_OSeq @ V_c @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(737,plain,
( ( ! [V_P: $i,V_b: $i,V_c: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_b @ ( c_Expr_Oexp_OSeq @ V_c @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(738,plain,
( ( ! [V_P: $i,V_b: $i,V_c: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OCond @ V_b @ ( c_Expr_Oexp_OSeq @ V_c @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(739,plain,
( ( ! [V_C: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(740,plain,
( ( ! [V_P: $i,V_h_H: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i,V_l: $i,V_e_H: $i,V_l_H: $i] :
( ( c_Conform_Ohconf @ V_P @ V_h_H @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Ohconf @ V_P @ V_h @ ( 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 @ V_T )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(741,plain,
( ( ! [V_P: $i,V_h_H: $i,V_l_H: $i,V_E: $i,V_h: $i,V_l: $i,V_e: $i,V_T: $i,V_e_H: $i] :
( ( c_Conform_Olconf @ V_P @ V_h_H @ V_l_H @ V_E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Olconf @ V_P @ V_h @ V_l @ V_E @ ( 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 @ V_T )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(742,plain,
( ( ! [V_v_092_060_094isub_0621: $i,V_bop: $i,V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(743,plain,
( ( ! [V_v: $i,V_bop: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(744,plain,
( ( ! [V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(745,plain,
( ( ! [V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(746,plain,
( ( ! [V_P: $i,V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(747,plain,
( ( ! [V_P: $i,V_v_092_060_094isub_0621: $i,V_bop: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(748,plain,
( ( ! [V_P: $i,V_C: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(749,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i,V_v: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OFAss @ V_e_092_060_094isub_0621 @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(750,plain,
( ( ! [V_V: $i,V_T: $i,V_v: $i,V_u: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(751,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(752,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i,V_v_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(753,plain,
( ( ! [V_P: $i,V_C: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(754,plain,
( ( ! [V_f: $i,V_g: $i,T_a: $i,T_b: $i,V_h: $i] :
( ( c_Map_Omap__le @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ V_h @ T_a @ T_b )
| ~ ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ T_a @ T_b )
| ~ ( c_Map_Omap__le @ V_g @ V_h @ T_a @ T_b )
| ~ ( c_Map_Omap__le @ V_f @ V_h @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(755,plain,
( ( ! [V_P: $i,V_C: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(756,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(757,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)],[290]) ).
thf(758,plain,
( ( ! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] : ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_g @ V_f @ T_a @ T_b ) @ T_a @ T_b ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(759,plain,
( ( ! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[292]) ).
thf(760,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(761,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(762,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(763,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(764,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_OCall @ 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)],[297]) ).
thf(765,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(766,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(767,plain,
( ( ! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(768,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(769,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(770,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)],[303]) ).
thf(771,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)],[304]) ).
thf(772,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(773,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(774,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(775,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(776,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(777,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(778,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(779,plain,
( ( ! [V_a_H: $i,V_exp_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(780,plain,
( ( ! [V_P: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(781,plain,
( ( ! [V_P: $i,V_h_H: $i,V_l: $i,V_E: $i,T_a: $i,V_h: $i] :
( ( c_Conform_Olconf @ V_P @ V_h_H @ V_l @ V_E @ T_a )
| ~ ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_Conform_Olconf @ V_P @ V_h @ V_l @ V_E @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(782,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(783,plain,
( ( ! [V_P: $i,V_V: $i,V_T: $i,V_u: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(784,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(785,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(786,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(787,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[320]) ).
thf(788,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(789,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_092_060_094isub_0622 @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(790,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(791,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) )
| ( V_list2 = V_list2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[324]) ).
thf(792,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) )
| ( V_list1 = V_list1_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(793,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) )
| ( V_exp = V_exp_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(794,plain,
( ( ! [V_P: $i,V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(795,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(796,plain,
( ( ! [V_P: $i,V_C: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(797,plain,
( ( ! [V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(798,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(799,plain,
( ( ! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(800,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)],[333]) ).
thf(801,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_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(802,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(803,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(804,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(805,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(806,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(807,plain,
( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_a: $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_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(808,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_P: $i,V_s_092_060_094isub_0621: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(809,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(810,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(811,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(812,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(813,plain,
( ( ! [V_a_H: $i,V_exp_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(814,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(815,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(816,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)],[349]) ).
thf(817,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(818,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(819,plain,
( ( ! [V_P: $i,V_V: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(820,plain,
( ( ! [V_a: $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_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(821,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(822,plain,
( ( ! [V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_Othrow @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) )
| ( V_exp = V_exp_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(823,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCall @ 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)],[356]) ).
thf(824,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_H @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ V_e_H @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(825,plain,
( ( ! [V_P: $i,V_e: $i,V_M: $i,V_es: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[358]) ).
thf(826,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[359]) ).
thf(827,plain,
( ( ! [V_C: $i,V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[360]) ).
thf(828,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(829,plain,
( ( ! [V_a_H: $i,V_exp_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[362]) ).
thf(830,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[363]) ).
thf(831,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[364]) ).
thf(832,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(833,plain,
( ( ! [V_g: $i,V_h: $i,T_a: $i,T_b: $i,V_f: $i] :
( ( c_Map_Omap__le @ V_g @ V_h @ T_a @ T_b )
| ~ ( c_Map_Omap__le @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ V_h @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[366]) ).
thf(834,plain,
( ( ! [V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[367]) ).
thf(835,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[368]) ).
thf(836,plain,
( ( ! [V_P: $i,V_e: $i,V_M: $i,V_ps: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_ps @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[369]) ).
thf(837,plain,
( ( ! [V_P: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(838,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)],[371]) ).
thf(839,plain,
( ( ! [V_val: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[372]) ).
thf(840,plain,
( ( ! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[373]) ).
thf(841,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[374]) ).
thf(842,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)],[375]) ).
thf(843,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[376]) ).
thf(844,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(845,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[378]) ).
thf(846,plain,
( ( ! [V_b: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_P: $i,V_s_092_060_094isub_0621: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_c @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[379]) ).
thf(847,plain,
( ( ! [V_V: $i,V_T: $i,V_v: $i,V_a: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[380]) ).
thf(848,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[381]) ).
thf(849,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)],[382]) ).
thf(850,plain,
( ( ! [V_P: $i,V_V: $i,V_T: $i,V_v: $i,V_u: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[383]) ).
thf(851,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(852,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[385]) ).
thf(853,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(854,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)],[387]) ).
thf(855,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(856,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[389]) ).
thf(857,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[390]) ).
thf(858,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) )
| ( V_ty = V_ty_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[391]) ).
thf(859,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) )
| ( V_exp = V_exp_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(860,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(861,plain,
( ( ! [V_val_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OVal @ V_val_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(862,plain,
( ( ! [V_val: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[395]) ).
thf(863,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)],[396]) ).
thf(864,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(865,plain,
( ( ! [V_val: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(866,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(867,plain,
( ( ! [V_val: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[400]) ).
thf(868,plain,
( ( ! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[401]) ).
thf(869,plain,
( ( ! [V_e: $i,V_M: $i,V_es: $i,V_s0: $i,V_a: $i,V_s_092_060_094isub_0621: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s0 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s0 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[402]) ).
thf(870,plain,
( ( ! [V_e: $i,V_M: $i,V_es: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[403]) ).
thf(871,plain,
( ( ! [V_S: $i,T_a: $i,T_b: $i,V_xs: $i,V_ys: $i,V_x: $i,V_y: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[404]) ).
thf(872,plain,
( ( ! [V_P: $i,V_C: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OCast @ V_C @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[405]) ).
thf(873,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[406]) ).
thf(874,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[407]) ).
thf(875,plain,
( ( ! [V_P: $i,V_V: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[408]) ).
thf(876,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[409]) ).
thf(877,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)],[410]) ).
thf(878,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OFAss @ V_e_092_060_094isub_0621 @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[411]) ).
thf(879,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_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[412]) ).
thf(880,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[413]) ).
thf(881,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[414]) ).
thf(882,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[415]) ).
thf(883,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)],[416]) ).
thf(884,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[417]) ).
thf(885,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(886,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) )
| ( V_exp = V_exp_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(887,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[420]) ).
thf(888,plain,
( ( ! [V_P: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(889,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[422]) ).
thf(890,plain,
( ( ! [V_P: $i,V_V: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OLAss @ V_V @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(891,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[424]) ).
thf(892,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(893,plain,
( ( ! [V_P: $i,V_e: $i,V_M: $i,V_es: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OCall @ V_e_H @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[426]) ).
thf(894,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[427]) ).
thf(895,plain,
( ( ! [V_V: $i,V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[428]) ).
thf(896,plain,
( ( ! [V_C: $i,V_e: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[429]) ).
thf(897,plain,
( ( ! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] :
( ( ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b )
!= ( c_Map_Omap__add @ V_g @ V_f @ T_a @ T_b ) )
| ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[430]) ).
thf(898,plain,
( ( ! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] :
( ( ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b )
= ( c_Map_Omap__add @ V_g @ V_f @ T_a @ T_b ) )
| ~ ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431]) ).
thf(899,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(900,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[433]) ).
thf(901,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0620: $i,V_e_092_060_094isub_0621: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OSeq @ V_e_092_060_094isub_0620 @ V_e_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0620 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(902,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(903,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(904,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_val_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437]) ).
thf(905,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(906,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(907,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(908,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(909,plain,
( ( ! [V_V: $i,V_e: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(910,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(911,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i,V_exp3: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(912,plain,
( ( ! [V_m1: $i,V_m2: $i,V_m3: $i,T_a: $i,T_b: $i] :
( ( c_Map_Omap__add @ V_m1 @ ( c_Map_Omap__add @ V_m2 @ V_m3 @ T_a @ T_b ) @ T_a @ T_b )
= ( c_Map_Omap__add @ ( c_Map_Omap__add @ V_m1 @ V_m2 @ T_a @ T_b ) @ V_m3 @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(913,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(914,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_P: $i,V_s_092_060_094isub_0621: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(915,plain,
( ( ! [V_b: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0623: $i,V_P: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i,V_v_092_060_094isub_0621: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e @ V_s_092_060_094isub_0623 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e @ V_s_092_060_094isub_0623 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_c @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(916,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(917,plain,
( ( ! [V_V: $i,V_T: $i,V_a: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(918,plain,
( ( ! [V_P: $i,V_V: $i,V_T: $i,V_v: $i,V_a: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(919,plain,
( ( ! [V_P: $i,V_V: $i,V_T: $i,V_a: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(920,plain,
( ( ! [V_nat_H: $i] :
( c_Value_Oval_ONull
!= ( c_Value_Oval_OAddr @ V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(921,plain,
( ( ! [V_nat_H: $i] :
( c_Value_Oval_OUnit
!= ( c_Value_Oval_OAddr @ V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(922,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_H @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0621 @ V_e_H @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(923,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_092_060_094isub_0621 @ V_s ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(924,plain,
( ( ! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e_092_060_094isub_0623: $i,V_s_092_060_094isub_0623: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i,V_v_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_092_060_094isub_0623 @ V_s_092_060_094isub_0623 )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ V_e_092_060_094isub_0623 @ V_s_092_060_094isub_0623 )
| ~ ( c_BigStep_Oeval @ V_P @ V_c @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(925,plain,
( ( ! [V_nat_H: $i] :
( ( c_Value_Oval_OAddr @ V_nat_H )
!= c_Value_Oval_ONull ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(926,plain,
( ( ! [V_nat_H: $i] :
( ( c_Value_Oval_OAddr @ V_nat_H )
!= c_Value_Oval_OUnit ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(927,plain,
( ( ! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_c @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(928,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Value_Oval_OAddr @ V_nat )
!= ( c_Value_Oval_OAddr @ V_nat_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(929,plain,
( ( ! [V_P: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_a: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(930,plain,
( ( ! [V_x: $i] :
( v_thesis____
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ v_T_092_060_094isub_0622____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(931,plain,
( ( ~ v_thesis____ ) = $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(932,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[467]) ).
thf(933,plain,
( ( ! [V_X: $i,V_Y: $i] :
( ( V_X = V_Y )
| ! [T_a: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_X ) @ V_Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[468]) ).
thf(934,plain,
( ( ! [V_P: $i,T_a: $i,V_Ss: $i,V_Us: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ss @ V_Us @ tc_Type_Oty @ tc_Type_Oty )
| ! [V_Ts: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ts @ V_Us @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ss @ V_Ts @ tc_Type_Oty @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[473]) ).
thf(935,plain,
( ( v_thesis____
| ! [V_T_092_060_094isub_0622_H: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622_H ) @ v_T_092_060_094isub_0622____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ V_T_092_060_094isub_0622_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[475]) ).
thf(936,plain,
( ( ! [V_P: $i,V_T_092_060_094isub_0621: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ V_x ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 )
| ! [V_e: $i] :
( ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0621 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[476]) ).
thf(937,plain,
( ( ! [V_P: $i,V_x: $i,V_T_092_060_094isub_0622: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_x ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ! [V_e: $i] :
( ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[477]) ).
thf(938,plain,
( ( ! [V_P: $i,V_h_H: $i,V_E: $i,V_e: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h_H @ V_E @ V_e @ V_T )
| ! [V_h: $i] :
( ~ ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[478]) ).
thf(939,plain,
( ( ! [V_P: $i,V_h: $i,T_a: $i,V_v: $i,V_T_H: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T_H ) )
| ! [V_T: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_T ) @ V_T_H ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[480]) ).
thf(940,plain,
( ( ! [V_P: $i,T_a: $i,V_S: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_S ) @ V_T ) )
| ! [V_U: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_U ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_S ) @ V_U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[481]) ).
thf(941,plain,
( ( ! [V_P: $i,V_h: $i,V_E_H: $i,V_e: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E_H @ V_e @ V_T )
| ! [V_E: $i] :
( ~ ( 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(extcnf_combined,[status(esa)],[486]) ).
thf(942,plain,
( ( ! [V_P: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_x ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ! [V_e: $i] :
( ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[488]) ).
thf(943,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] :
( ( 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 )
| ! [V_T_092_060_094isub_0621: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[492]) ).
thf(944,plain,
( ( ! [V_val: $i,T_a: $i,V_val_H: $i] :
( ( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val_H @ T_a ) )
| ( V_val = V_val_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[497]) ).
thf(945,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[498]) ).
thf(946,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[499]) ).
thf(947,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[501]) ).
thf(948,plain,
( ( ! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i] :
( ! [V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[503]) ).
thf(949,plain,
( ( ! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i] :
( ! [V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_list = V_list_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[504]) ).
thf(950,plain,
( ( ! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i] :
( ! [V_exp2_H: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[505]) ).
thf(951,plain,
( ( ! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[506]) ).
thf(952,plain,
( ( ! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( V_T
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ! [V_e: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[507]) ).
thf(953,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i] :
( ! [V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[508]) ).
thf(954,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ! [V_exp3_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[509]) ).
thf(955,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) )
| ( V_exp3 = V_exp3_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[510]) ).
thf(956,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] :
( ( 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 )
| ! [V_T_092_060_094isub_0621: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[511]) ).
thf(957,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[512]) ).
thf(958,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(extcnf_combined,[status(esa)],[513]) ).
thf(959,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(extcnf_combined,[status(esa)],[514]) ).
thf(960,plain,
( ( ! [V_P: $i,V_E: $i,V_T: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ! [V_e: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[516]) ).
thf(961,plain,
( ( ! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i] :
( ( V_T
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ! [V_e: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[517]) ).
thf(962,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_T: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ! [V_e: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[519]) ).
thf(963,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_T: $i,V_e_092_060_094isub_0621: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ! [V_e: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[520]) ).
thf(964,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_e_092_060_094isub_0621: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ! [V_e_092_060_094isub_0622: $i,V_T: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[521]) ).
thf(965,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] :
( ( 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 )
| ! [V_T_092_060_094isub_0621: $i] :
~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[523]) ).
thf(966,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0620: $i,V_e_092_060_094isub_0621: $i,V_s_092_060_094isub_0620: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OSeq @ V_e_092_060_094isub_0620 @ V_e_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0622 )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0622 )
| ! [V_v: $i] :
~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0620 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[524]) ).
thf(967,plain,
( ( ! [V_P: $i,V_x: $i,V_T_092_060_094isub_0622: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_x ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ! [V_e: $i] :
( ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[525]) ).
thf(968,plain,
( ( ! [V_P: $i,V_T_092_060_094isub_0621: $i,V_x: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ V_x ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 )
| ! [V_e: $i] :
( ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0621 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[526]) ).
thf(969,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i,V_exp3: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[527]) ).
thf(970,plain,
( ( ! [V_v: $i,V_P: $i] :
( ( V_v = c_Value_Oval_ONull )
| ! [V_h: $i,T_a: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ c_Type_Oty_ONT ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[529]) ).
thf(971,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[530]) ).
thf(972,plain,
( ( ! [V_f: $i,V_g: $i] :
( ( V_f = V_g )
| ! [T_a: $i,T_b: $i] :
( ~ ( 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(extcnf_combined,[status(esa)],[531]) ).
thf(973,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[536]) ).
thf(974,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ! [V_c: $i,V_T: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[537]) ).
thf(975,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(extcnf_combined,[status(esa)],[538]) ).
thf(976,plain,
( ( ! [V_P: $i,V_E: $i,V_T: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ! [V_e: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[539]) ).
thf(977,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(extcnf_combined,[status(esa)],[540]) ).
thf(978,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_T: $i,V_C: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T )
| ! [V_V: $i,V_e_092_060_094isub_0622: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[541]) ).
thf(979,plain,
( ( ! [V_P: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_x ) )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ! [V_e: $i] :
( ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[542]) ).
thf(980,plain,
( ( ! [V_h: $i,V_h_H: $i,V_P: $i,V_e: $i,V_l: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H )
| ! [V_e_H: $i,V_l_H: $i] :
~ ( c_BigStep_Oeval @ V_P @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_combined,[status(esa)],[543]) ).
thf(981,plain,
( ( ! [V_P: $i,V_E_H: $i,V_e: $i,V_T: $i] :
( ( c_WellType_OWT @ V_P @ V_E_H @ V_e @ V_T )
| ! [V_E: $i] :
( ~ ( 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(extcnf_combined,[status(esa)],[544]) ).
thf(982,plain,
( ( ! [V_m1: $i,V_m3: $i,T_a: $i,T_b: $i] :
( ( c_Map_Omap__le @ V_m1 @ V_m3 @ T_a @ T_b )
| ! [V_m2: $i] :
( ~ ( 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(extcnf_combined,[status(esa)],[545]) ).
thf(983,plain,
( ( ! [V_P: $i,V_x: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_x ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ! [V_e: $i] :
( ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[547]) ).
thf(984,plain,
( ( ! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i] :
( ( V_T
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ! [V_e: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[548]) ).
thf(985,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[549]) ).
thf(986,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[550]) ).
thf(987,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [V_T_092_060_094isub_0622: $i,V_T_092_060_094isub_0621: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_T_092_060_094isub_0621 ) )
| ~ ( 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(extcnf_combined,[status(esa)],[551]) ).
thf(988,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [V_T_092_060_094isub_0621: $i,V_T_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ 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(extcnf_combined,[status(esa)],[552]) ).
thf(989,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_T: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ! [V_e: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[553]) ).
thf(990,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_T: $i,V_e_092_060_094isub_0621: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ! [V_e: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[554]) ).
thf(991,plain,
( ( ! [V_P: $i,V_C: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_V: $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 ) ) ) )
| ! [V_e_092_060_094isub_0622: $i,V_T: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[555]) ).
thf(992,plain,
( ( c_Type_Oty_ONT != c_Type_Oty_OBoolean )
= $true ),
inference(extcnf_combined,[status(esa)],[557]) ).
thf(993,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[558]) ).
thf(994,plain,
( ( ! [V_xs: $i,V_ys: $i] :
( ( V_xs = V_ys )
| ! [T_a: $i] :
~ ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_xs @ V_ys @ T_a @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[559]) ).
thf(995,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[560]) ).
thf(996,plain,
( ( ! [V_P: $i,V_E: $i,V_e: $i,V_e_092_060_094isub_0621: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ! [V_e_092_060_094isub_0622: $i,V_T: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[561]) ).
thf(997,plain,
( ( ! [V_h: $i,V_h_H_H: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H_H )
| ! [V_h_H: $i] :
( ~ ( c_Objects_Ohext @ V_h_H @ V_h_H_H )
| ~ ( c_Objects_Ohext @ V_h @ V_h_H ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[564]) ).
thf(998,plain,
( ( ! [V_P: $i,V_h_H: $i,T_a: $i,V_vs: $i,V_Ts: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h_H @ T_a ) @ V_vs @ V_Ts @ tc_Value_Oval @ tc_Type_Oty )
| ! [V_h: $i] :
( ~ ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts @ tc_Value_Oval @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[565]) ).
thf(999,plain,
( ( ! [V_P: $i,V_h_H: $i,T_a: $i,V_v: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h_H @ T_a ) @ V_v ) @ V_T ) )
| ! [V_h: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T ) )
| ~ ( c_Objects_Ohext @ V_h @ V_h_H ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[567]) ).
thf(1000,plain,
( ( ! [V_P: $i,V_T_092_060_094isub_0621: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ V_x ) )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 )
| ! [V_e: $i] :
( ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0621 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[568]) ).
thf(1001,plain,
( ( ! [V_P: $i,V_x: $i,V_T_092_060_094isub_0622: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_x ) )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ! [V_e: $i] :
( ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[569]) ).
thf(1002,plain,
( ( ! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( V_T
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ! [V_e: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[570]) ).
thf(1003,plain,
( ( ! [V_P: $i,V_E: $i,V_e: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ! [V_c: $i,V_T: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[571]) ).
thf(1004,plain,
( ( ! [V_h: $i,V_h_H: $i,V_P: $i,V_es: $i,V_l: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H )
| ! [V_es_H: $i,V_l_H: $i] :
~ ( c_BigStep_Oevals @ V_P @ V_es @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ V_es_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_combined,[status(esa)],[572]) ).
thf(1005,plain,
( ( c_Type_Oty_OBoolean != c_Type_Oty_ONT )
= $true ),
inference(extcnf_combined,[status(esa)],[574]) ).
thf(1006,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[575]) ).
thf(1007,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(extcnf_combined,[status(esa)],[576]) ).
thf(1008,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(extcnf_combined,[status(esa)],[577]) ).
thf(1009,plain,
( ( ! [V_P: $i,T_a: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ c_Type_Oty_ONT ) @ V_T ) )
| ! [V_h: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ c_Value_Oval_ONull ) @ V_T ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[579]) ).
thf(1010,plain,
( ( ! [V_P: $i,V_h: $i,T_a: $i,V_vs: $i,V_Ts_H: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts_H @ tc_Value_Oval @ tc_Type_Oty )
| ! [V_Ts: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ts @ V_Ts_H @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts @ tc_Value_Oval @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[581]) ).
thf(1011,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[582]) ).
thf(1012,plain,
( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[583]) ).
thf(1013,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(extcnf_combined,[status(esa)],[585]) ).
thf(1014,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i] :
( V_xs
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[586]) ).
thf(1015,plain,
( ( ! [V_x: $i,V_t: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_t @ T_a )
!= V_t ) )
= $true ),
inference(extcnf_combined,[status(esa)],[587]) ).
thf(1016,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[588]) ).
thf(1017,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[589]) ).
thf(1018,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[590]) ).
thf(1019,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i] :
( ! [V_exp2_H: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[591]) ).
thf(1020,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[592]) ).
thf(1021,plain,
( ( ! [V_s_H: $i,V_s: $i,V_P: $i] :
( ( V_s_H = V_s )
| ! [V_v: $i,V_e_H: $i] :
~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[594]) ).
thf(1022,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[595]) ).
thf(1023,plain,
( ( ! [V_P: $i,V_x: $i,V_y: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) )
| ! [V_ys: $i,T_b: $i] :
~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[597]) ).
thf(1024,plain,
( ( ! [V_list_H: $i] :
( ( c_Type_Oty_OClass @ V_list_H )
!= c_Type_Oty_ONT ) )
= $true ),
inference(extcnf_combined,[status(esa)],[598]) ).
thf(1025,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[599]) ).
thf(1026,plain,
( ( ! [V_S: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_S @ V_x ) )
| ! [T_a: $i] :
~ ( c_in @ V_x @ V_S @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[601]) ).
thf(1027,plain,
( ( ! [V_x: $i,V_S: $i] :
( ! [T_a: $i] : ( c_in @ V_x @ V_S @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_S @ V_x ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[602]) ).
thf(1028,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[604]) ).
thf(1029,plain,
( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[605]) ).
thf(1030,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[606]) ).
thf(1031,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[607]) ).
thf(1032,plain,
( ( ! [V_list_H: $i] :
( c_Type_Oty_OBoolean
!= ( c_Type_Oty_OClass @ V_list_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[609]) ).
thf(1033,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i,V_exp3: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[610]) ).
thf(1034,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [V_T_092_060_094isub_0622: $i] :
~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
| ! [V_T_092_060_094isub_0621: $i] :
~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[611]) ).
thf(1035,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[614]) ).
thf(1036,plain,
( ( ! [V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[615]) ).
thf(1037,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[616]) ).
thf(1038,plain,
( ( ! [V_h: $i,V_h_H: $i,V_e: $i,V_l: $i,V_e_H: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H )
| ! [V_l_H: $i,V_P: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[617]) ).
thf(1039,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[618]) ).
thf(1040,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ! [V_x: $i,V_y: $i] :
~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[619]) ).
thf(1041,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[620]) ).
thf(1042,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[623]) ).
thf(1043,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[624]) ).
thf(1044,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[625]) ).
thf(1045,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[626]) ).
thf(1046,plain,
( ( ! [V_exp1: $i,V_bop: $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_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[627]) ).
thf(1047,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(extcnf_combined,[status(esa)],[628]) ).
thf(1048,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[629]) ).
thf(1049,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(extcnf_combined,[status(esa)],[630]) ).
thf(1050,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(extcnf_combined,[status(esa)],[634]) ).
thf(1051,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(extcnf_combined,[status(esa)],[635]) ).
thf(1052,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(extcnf_combined,[status(esa)],[636]) ).
thf(1053,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(extcnf_combined,[status(esa)],[637]) ).
thf(1054,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(extcnf_combined,[status(esa)],[638]) ).
thf(1055,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(extcnf_combined,[status(esa)],[639]) ).
thf(1056,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(extcnf_combined,[status(esa)],[640]) ).
thf(1057,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[642]) ).
thf(1058,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[645]) ).
thf(1059,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(extcnf_combined,[status(esa)],[646]) ).
thf(1060,plain,
( ( ! [V_e_H: $i,V_v: $i,V_P: $i] :
( ( V_e_H
= ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) )
| ! [V_s: $i,V_s_H: $i] :
~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[647]) ).
thf(1061,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[648]) ).
thf(1062,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[650]) ).
thf(1063,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(extcnf_combined,[status(esa)],[651]) ).
thf(1064,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[652]) ).
thf(1065,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[654]) ).
thf(1066,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[657]) ).
thf(1067,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[658]) ).
thf(1068,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[659]) ).
thf(1069,plain,
( ( ! [V_list_H: $i] :
( ( c_Type_Oty_OClass @ V_list_H )
!= c_Type_Oty_OBoolean ) )
= $true ),
inference(extcnf_combined,[status(esa)],[660]) ).
thf(1070,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(extcnf_combined,[status(esa)],[661]) ).
thf(1071,plain,
( ( ! [V_list_H: $i] :
( c_Type_Oty_ONT
!= ( c_Type_Oty_OClass @ V_list_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[662]) ).
thf(1072,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[663]) ).
thf(1073,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[664]) ).
thf(1074,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [V_T_092_060_094isub_0622: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
| ! [V_T_092_060_094isub_0621: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[665]) ).
thf(1075,plain,
( ( ! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i] :
( ! [V_list_H: $i] :
( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[666]) ).
thf(1076,plain,
( ( ! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_list = V_list_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[667]) ).
thf(1077,plain,
( ( ! [V_val: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[668]) ).
thf(1078,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[671]) ).
thf(1079,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[672]) ).
thf(1080,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i] :
( ! [V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) )
| ( V_bop = V_bop_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[673]) ).
thf(1081,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i] :
( ! [V_bop_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[674]) ).
thf(1082,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[675]) ).
thf(1083,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[676]) ).
thf(1084,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(extcnf_combined,[status(esa)],[677]) ).
thf(1085,plain,
( ( ! [V_P: $i,V_E: $i,V_s_H: $i,V_s: $i,V_e: $i] :
( ( c_TypeSafe__Mirabelle_Osconf @ V_P @ V_E @ V_s_H )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ V_P @ V_E @ V_s )
| ! [V_T: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ ( c_State_Ohp @ V_s ) @ V_E @ V_e @ V_T )
| ! [V_e_H: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[679]) ).
thf(1086,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_092_060_094isub_0622_H: $i,V_s_092_060_094isub_0622: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_v_092_060_094isub_0621: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[681]) ).
thf(1087,plain,
( ( ! [V_a: $i,V_c: $i,T_a: $i,V_r: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ! [V_b: $i] :
( ~ ( c_in @ ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[685]) ).
thf(1088,plain,
( ( ! [V_a: $i,V_c: $i,T_a: $i,V_r: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ! [V_b: $i] :
( ~ ( c_in @ ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[686]) ).
thf(1089,plain,
( ( ! [V_a: $i,V_c: $i,T_a: $i,V_r: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ! [V_b: $i] :
( ~ ( c_in @ ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[687]) ).
thf(1090,plain,
( ( c_Value_Oval_ONull != c_Value_Oval_OUnit )
= $true ),
inference(extcnf_combined,[status(esa)],[690]) ).
thf(1091,plain,
( ( c_Value_Oval_OUnit != c_Value_Oval_ONull )
= $true ),
inference(extcnf_combined,[status(esa)],[692]) ).
thf(1092,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_v_092_060_094isub_0621: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[705]) ).
thf(1093,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e_092_060_094isub_0621 @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_v: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[706]) ).
thf(1094,plain,
( ( ! [V_x: $i,V_y: $i,T_a: $i,T_b: $i,V_S: $i] :
( ( c_in @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) )
| ! [V_xs: $i,V_ys: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[707]) ).
thf(1095,plain,
( ( ! [V_a: $i,V_a_H: $i,T_a: $i,V_r: $i,V_b: $i,T_b: $i] :
( ( V_a = V_a_H )
| ( c_in @ ( c_Pair @ V_a @ V_a_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
| ! [V_b_H: $i,V_s: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_a_H @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[711]) ).
thf(1096,plain,
( ( ! [V_a: $i,V_b: $i,T_a: $i,T_b: $i,V_a_H: $i,V_b_H: $i,V_r: $i] :
( ! [V_s: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_a_H @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_a_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[713]) ).
thf(1097,plain,
( ( ! [V_b: $i,V_b_H: $i,T_b: $i,V_s: $i,V_a: $i,V_a_H: $i] :
( ( c_in @ ( c_Pair @ V_b @ V_b_H @ T_b @ T_b ) @ V_s @ ( tc_prod @ T_b @ T_b ) )
| ! [T_a: $i,V_r: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_a_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_a_H @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[714]) ).
thf(1098,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
| ! [V_v: $i] :
( ( 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 ) ) )
| ! [V_T: $i] :
~ ( 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(extcnf_combined,[status(esa)],[721]) ).
thf(1099,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
| ! [V_F: $i,V_T: $i] :
( ( 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(extcnf_combined,[status(esa)],[722]) ).
thf(1100,plain,
( ( ! [V_P: $i,V_h_H: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i,V_l: $i] :
( ( c_Conform_Ohconf @ V_P @ V_h_H @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Ohconf @ V_P @ V_h @ ( 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 @ V_T )
| ! [V_e_H: $i,V_l_H: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[740]) ).
thf(1101,plain,
( ( ! [V_P: $i,V_h_H: $i,V_l_H: $i,V_E: $i,V_h: $i,V_l: $i,V_e: $i] :
( ( c_Conform_Olconf @ V_P @ V_h_H @ V_l_H @ V_E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Olconf @ V_P @ V_h @ V_l @ V_E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [V_T: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T )
| ! [V_e_H: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[741]) ).
thf(1102,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OFAss @ V_e_092_060_094isub_0621 @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ! [V_v: $i] :
~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[749]) ).
thf(1103,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ! [V_v_092_060_094isub_0621: $i] :
~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[752]) ).
thf(1104,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[756]) ).
thf(1105,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(extcnf_combined,[status(esa)],[757]) ).
thf(1106,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[760]) ).
thf(1107,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[761]) ).
thf(1108,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[762]) ).
thf(1109,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[763]) ).
thf(1110,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_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[764]) ).
thf(1111,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[765]) ).
thf(1112,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[766]) ).
thf(1113,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[768]) ).
thf(1114,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[769]) ).
thf(1115,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(extcnf_combined,[status(esa)],[770]) ).
thf(1116,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(extcnf_combined,[status(esa)],[771]) ).
thf(1117,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[772]) ).
thf(1118,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[774]) ).
thf(1119,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[775]) ).
thf(1120,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[776]) ).
thf(1121,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[777]) ).
thf(1122,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[778]) ).
thf(1123,plain,
( ( ! [V_a_H: $i,V_exp_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[779]) ).
thf(1124,plain,
( ( ! [V_P: $i,V_h_H: $i,V_l: $i,V_E: $i,T_a: $i] :
( ( c_Conform_Olconf @ V_P @ V_h_H @ V_l @ V_E @ T_a )
| ! [V_h: $i] :
( ~ ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_Conform_Olconf @ V_P @ V_h @ V_l @ V_E @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[781]) ).
thf(1125,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[782]) ).
thf(1126,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[784]) ).
thf(1127,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[785]) ).
thf(1128,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[786]) ).
thf(1129,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[787]) ).
thf(1130,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[788]) ).
thf(1131,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[790]) ).
thf(1132,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) )
| ( V_list2 = V_list2_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[791]) ).
thf(1133,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) )
| ( V_list1 = V_list1_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[792]) ).
thf(1134,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) )
| ( V_exp = V_exp_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[793]) ).
thf(1135,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[795]) ).
thf(1136,plain,
( ( ! [V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[797]) ).
thf(1137,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[798]) ).
thf(1138,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(extcnf_combined,[status(esa)],[800]) ).
thf(1139,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_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[801]) ).
thf(1140,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[804]) ).
thf(1141,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[805]) ).
thf(1142,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[806]) ).
thf(1143,plain,
( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_a: $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_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[807]) ).
thf(1144,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[808]) ).
thf(1145,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[809]) ).
thf(1146,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[810]) ).
thf(1147,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[811]) ).
thf(1148,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[812]) ).
thf(1149,plain,
( ( ! [V_a_H: $i,V_exp_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[813]) ).
thf(1150,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[814]) ).
thf(1151,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[815]) ).
thf(1152,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(extcnf_combined,[status(esa)],[816]) ).
thf(1153,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[817]) ).
thf(1154,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[818]) ).
thf(1155,plain,
( ( ! [V_a: $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_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[820]) ).
thf(1156,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[821]) ).
thf(1157,plain,
( ( ! [V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_Othrow @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) )
| ( V_exp = V_exp_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[822]) ).
thf(1158,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[823]) ).
thf(1159,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_H @ V_s_092_060_094isub_0622 )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ V_e_H @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[824]) ).
thf(1160,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[826]) ).
thf(1161,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[828]) ).
thf(1162,plain,
( ( ! [V_a_H: $i,V_exp_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[829]) ).
thf(1163,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[830]) ).
thf(1164,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[832]) ).
thf(1165,plain,
( ( ! [V_g: $i,V_h: $i,T_a: $i,T_b: $i] :
( ( c_Map_Omap__le @ V_g @ V_h @ T_a @ T_b )
| ! [V_f: $i] :
~ ( c_Map_Omap__le @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ V_h @ T_a @ T_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[833]) ).
thf(1166,plain,
( ( ! [V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[834]) ).
thf(1167,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[835]) ).
thf(1168,plain,
( ( ! [V_T: $i,V_D: $i,V_P: $i] :
( ( V_T
= ( c_Type_Oty_OClass @ V_D ) )
| ! [V_E: $i,V_e: $i] :
~ ( 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(extcnf_combined,[status(esa)],[838]) ).
thf(1169,plain,
( ( ! [V_val: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[839]) ).
thf(1170,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[841]) ).
thf(1171,plain,
( ( ! [V_P: $i,V_D: $i,V_E: $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 ) ) ) )
| ! [V_e: $i,V_T: $i] :
~ ( 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(extcnf_combined,[status(esa)],[842]) ).
thf(1172,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[843]) ).
thf(1173,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[844]) ).
thf(1174,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[845]) ).
thf(1175,plain,
( ( ! [V_b: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_c @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[846]) ).
thf(1176,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[848]) ).
thf(1177,plain,
( ( ! [V_P: $i,V_D: $i,V_h: $i,V_E: $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 ) ) ) )
| ! [V_e: $i,V_T: $i] :
~ ( 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(extcnf_combined,[status(esa)],[849]) ).
thf(1178,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[851]) ).
thf(1179,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[852]) ).
thf(1180,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[853]) ).
thf(1181,plain,
( ( ! [V_T: $i,V_D: $i,V_P: $i,V_h: $i] :
( ( V_T
= ( c_Type_Oty_OClass @ V_D ) )
| ! [V_E: $i,V_e: $i] :
~ ( 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(extcnf_combined,[status(esa)],[854]) ).
thf(1182,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[855]) ).
thf(1183,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[856]) ).
thf(1184,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_a_H: $i] :
( ! [V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[857]) ).
thf(1185,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i] :
( ! [V_exp_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) )
| ( V_ty = V_ty_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[858]) ).
thf(1186,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) )
| ( V_exp = V_exp_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[859]) ).
thf(1187,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[860]) ).
thf(1188,plain,
( ( ! [V_val_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OVal @ V_val_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[861]) ).
thf(1189,plain,
( ( ! [V_val: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[862]) ).
thf(1190,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(extcnf_combined,[status(esa)],[863]) ).
thf(1191,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[864]) ).
thf(1192,plain,
( ( ! [V_val: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[865]) ).
thf(1193,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[866]) ).
thf(1194,plain,
( ( ! [V_val: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[867]) ).
thf(1195,plain,
( ( ! [V_S: $i,T_a: $i,T_b: $i,V_xs: $i,V_ys: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xs @ V_ys @ T_a @ T_b )
| ! [V_x: $i,V_y: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[871]) ).
thf(1196,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[873]) ).
thf(1197,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[874]) ).
thf(1198,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[876]) ).
thf(1199,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(extcnf_combined,[status(esa)],[877]) ).
thf(1200,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_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[879]) ).
thf(1201,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[880]) ).
thf(1202,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[881]) ).
thf(1203,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[882]) ).
thf(1204,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(extcnf_combined,[status(esa)],[883]) ).
thf(1205,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[884]) ).
thf(1206,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_a_H: $i] :
( ! [V_exp_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[885]) ).
thf(1207,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) )
| ( V_exp = V_exp_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[886]) ).
thf(1208,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[887]) ).
thf(1209,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[889]) ).
thf(1210,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[891]) ).
thf(1211,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[892]) ).
thf(1212,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[894]) ).
thf(1213,plain,
( ( ! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] :
( ( ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b )
!= ( c_Map_Omap__add @ V_g @ V_f @ T_a @ T_b ) )
| ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[897]) ).
thf(1214,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[899]) ).
thf(1215,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[900]) ).
thf(1216,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[902]) ).
thf(1217,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[903]) ).
thf(1218,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_val_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[904]) ).
thf(1219,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[905]) ).
thf(1220,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[906]) ).
thf(1221,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[907]) ).
thf(1222,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[908]) ).
thf(1223,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[910]) ).
thf(1224,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i,V_exp3: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[911]) ).
thf(1225,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[913]) ).
thf(1226,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[914]) ).
thf(1227,plain,
( ( ! [V_b: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0623: $i,V_P: $i,V_s_092_060_094isub_0622: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e @ V_s_092_060_094isub_0623 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e @ V_s_092_060_094isub_0623 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ! [V_v_092_060_094isub_0621: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_c @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[915]) ).
thf(1228,plain,
( ( ! [V_nat_H: $i] :
( c_Value_Oval_ONull
!= ( c_Value_Oval_OAddr @ V_nat_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[920]) ).
thf(1229,plain,
( ( ! [V_nat_H: $i] :
( c_Value_Oval_OUnit
!= ( c_Value_Oval_OAddr @ V_nat_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[921]) ).
thf(1230,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_H @ V_s_092_060_094isub_0622 )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0621 @ V_e_H @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[922]) ).
thf(1231,plain,
( ( ! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e_092_060_094isub_0623: $i,V_s_092_060_094isub_0623: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_092_060_094isub_0623 @ V_s_092_060_094isub_0623 )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ V_e_092_060_094isub_0623 @ V_s_092_060_094isub_0623 )
| ! [V_s_092_060_094isub_0621: $i] :
( ! [V_v_092_060_094isub_0621: $i] :
~ ( c_BigStep_Oeval @ V_P @ V_c @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[924]) ).
thf(1232,plain,
( ( ! [V_nat_H: $i] :
( ( c_Value_Oval_OAddr @ V_nat_H )
!= c_Value_Oval_ONull ) )
= $true ),
inference(extcnf_combined,[status(esa)],[925]) ).
thf(1233,plain,
( ( ! [V_nat_H: $i] :
( ( c_Value_Oval_OAddr @ V_nat_H )
!= c_Value_Oval_OUnit ) )
= $true ),
inference(extcnf_combined,[status(esa)],[926]) ).
thf(1234,plain,
( ( ! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_BigStep_Oeval @ V_P @ V_c @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[927]) ).
thf(1235,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Value_Oval_OAddr @ V_nat )
!= ( c_Value_Oval_OAddr @ V_nat_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[928]) ).
thf(1236,plain,
( ( v_thesis____
| ! [V_x: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ v_T_092_060_094isub_0622____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ V_x ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[930]) ).
thf(1237,plain,
( ( ~ v_thesis____ ) = $true ),
inference(copy,[status(thm)],[931]) ).
thf(1238,plain,
( ( v_thesis____
| ! [V_x: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ v_T_092_060_094isub_0622____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ V_x ) ) )
= $true ),
inference(copy,[status(thm)],[1236]) ).
thf(1239,plain,
( ( ! [V_P: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_a: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[929]) ).
thf(1240,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Value_Oval_OAddr @ V_nat )
!= ( c_Value_Oval_OAddr @ V_nat_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[1235]) ).
thf(1241,plain,
( ( ! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_BigStep_Oeval @ V_P @ V_c @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1234]) ).
thf(1242,plain,
( ( ! [V_nat_H: $i] :
( ( c_Value_Oval_OAddr @ V_nat_H )
!= c_Value_Oval_OUnit ) )
= $true ),
inference(copy,[status(thm)],[1233]) ).
thf(1243,plain,
( ( ! [V_nat_H: $i] :
( ( c_Value_Oval_OAddr @ V_nat_H )
!= c_Value_Oval_ONull ) )
= $true ),
inference(copy,[status(thm)],[1232]) ).
thf(1244,plain,
( ( ! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e_092_060_094isub_0623: $i,V_s_092_060_094isub_0623: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_092_060_094isub_0623 @ V_s_092_060_094isub_0623 )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ V_e_092_060_094isub_0623 @ V_s_092_060_094isub_0623 )
| ! [V_s_092_060_094isub_0621: $i] :
( ! [V_v_092_060_094isub_0621: $i] :
~ ( c_BigStep_Oeval @ V_P @ V_c @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1231]) ).
thf(1245,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_092_060_094isub_0621 @ V_s ) )
= $true ),
inference(copy,[status(thm)],[923]) ).
thf(1246,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_H @ V_s_092_060_094isub_0622 )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0621 @ V_e_H @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1230]) ).
thf(1247,plain,
( ( ! [V_nat_H: $i] :
( c_Value_Oval_OUnit
!= ( c_Value_Oval_OAddr @ V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[1229]) ).
thf(1248,plain,
( ( ! [V_nat_H: $i] :
( c_Value_Oval_ONull
!= ( c_Value_Oval_OAddr @ V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[1228]) ).
thf(1249,plain,
( ( ! [V_P: $i,V_V: $i,V_T: $i,V_a: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[919]) ).
thf(1250,plain,
( ( ! [V_P: $i,V_V: $i,V_T: $i,V_v: $i,V_a: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[918]) ).
thf(1251,plain,
( ( ! [V_V: $i,V_T: $i,V_a: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[917]) ).
thf(1252,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[916]) ).
thf(1253,plain,
( ( ! [V_b: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0623: $i,V_P: $i,V_s_092_060_094isub_0622: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e @ V_s_092_060_094isub_0623 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e @ V_s_092_060_094isub_0623 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ! [V_v_092_060_094isub_0621: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_c @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1227]) ).
thf(1254,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1226]) ).
thf(1255,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1225]) ).
thf(1256,plain,
( ( ! [V_m1: $i,V_m2: $i,V_m3: $i,T_a: $i,T_b: $i] :
( ( c_Map_Omap__add @ V_m1 @ ( c_Map_Omap__add @ V_m2 @ V_m3 @ T_a @ T_b ) @ T_a @ T_b )
= ( c_Map_Omap__add @ ( c_Map_Omap__add @ V_m1 @ V_m2 @ T_a @ T_b ) @ V_m3 @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[912]) ).
thf(1257,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i,V_exp3: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1224]) ).
thf(1258,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1223]) ).
thf(1259,plain,
( ( ! [V_V: $i,V_e: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[909]) ).
thf(1260,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1222]) ).
thf(1261,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1221]) ).
thf(1262,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1220]) ).
thf(1263,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1219]) ).
thf(1264,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_val_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1218]) ).
thf(1265,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1217]) ).
thf(1266,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1216]) ).
thf(1267,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0620: $i,V_e_092_060_094isub_0621: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OSeq @ V_e_092_060_094isub_0620 @ V_e_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0620 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[901]) ).
thf(1268,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1215]) ).
thf(1269,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1214]) ).
thf(1270,plain,
( ( ! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] :
( ( ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b )
= ( c_Map_Omap__add @ V_g @ V_f @ T_a @ T_b ) )
| ~ ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[898]) ).
thf(1271,plain,
( ( ! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] :
( ( ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b )
!= ( c_Map_Omap__add @ V_g @ V_f @ T_a @ T_b ) )
| ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[1213]) ).
thf(1272,plain,
( ( ! [V_C: $i,V_e: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[896]) ).
thf(1273,plain,
( ( ! [V_V: $i,V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[895]) ).
thf(1274,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1212]) ).
thf(1275,plain,
( ( ! [V_P: $i,V_e: $i,V_M: $i,V_es: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OCall @ V_e_H @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[893]) ).
thf(1276,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1211]) ).
thf(1277,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1210]) ).
thf(1278,plain,
( ( ! [V_P: $i,V_V: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OLAss @ V_V @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[890]) ).
thf(1279,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1209]) ).
thf(1280,plain,
( ( ! [V_P: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[888]) ).
thf(1281,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1208]) ).
thf(1282,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) )
| ( V_exp = V_exp_H ) ) )
= $true ),
inference(copy,[status(thm)],[1207]) ).
thf(1283,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_a_H: $i] :
( ! [V_exp_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(copy,[status(thm)],[1206]) ).
thf(1284,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1205]) ).
thf(1285,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)],[1204]) ).
thf(1286,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1203]) ).
thf(1287,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1202]) ).
thf(1288,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1201]) ).
thf(1289,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_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1200]) ).
thf(1290,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OFAss @ V_e_092_060_094isub_0621 @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[878]) ).
thf(1291,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)],[1199]) ).
thf(1292,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1198]) ).
thf(1293,plain,
( ( ! [V_P: $i,V_V: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[875]) ).
thf(1294,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1197]) ).
thf(1295,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1196]) ).
thf(1296,plain,
( ( ! [V_P: $i,V_C: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OCast @ V_C @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[872]) ).
thf(1297,plain,
( ( ! [V_S: $i,T_a: $i,T_b: $i,V_xs: $i,V_ys: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xs @ V_ys @ T_a @ T_b )
| ! [V_x: $i,V_y: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[1195]) ).
thf(1298,plain,
( ( ! [V_e: $i,V_M: $i,V_es: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[870]) ).
thf(1299,plain,
( ( ! [V_e: $i,V_M: $i,V_es: $i,V_s0: $i,V_a: $i,V_s_092_060_094isub_0621: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s0 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s0 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[869]) ).
thf(1300,plain,
( ( ! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[868]) ).
thf(1301,plain,
( ( ! [V_val: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1194]) ).
thf(1302,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1193]) ).
thf(1303,plain,
( ( ! [V_val: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1192]) ).
thf(1304,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1191]) ).
thf(1305,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)],[1190]) ).
thf(1306,plain,
( ( ! [V_val: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1189]) ).
thf(1307,plain,
( ( ! [V_val_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OVal @ V_val_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1188]) ).
thf(1308,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1187]) ).
thf(1309,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) )
| ( V_exp = V_exp_H ) ) )
= $true ),
inference(copy,[status(thm)],[1186]) ).
thf(1310,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i] :
( ! [V_exp_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) )
| ( V_ty = V_ty_H ) ) )
= $true ),
inference(copy,[status(thm)],[1185]) ).
thf(1311,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_a_H: $i] :
( ! [V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(copy,[status(thm)],[1184]) ).
thf(1312,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1183]) ).
thf(1313,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1182]) ).
thf(1314,plain,
( ( ! [V_T: $i,V_D: $i,V_P: $i,V_h: $i] :
( ( V_T
= ( c_Type_Oty_OClass @ V_D ) )
| ! [V_E: $i,V_e: $i] :
~ ( 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)],[1181]) ).
thf(1315,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1180]) ).
thf(1316,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1179]) ).
thf(1317,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1178]) ).
thf(1318,plain,
( ( ! [V_P: $i,V_V: $i,V_T: $i,V_v: $i,V_u: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[850]) ).
thf(1319,plain,
( ( ! [V_P: $i,V_D: $i,V_h: $i,V_E: $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 ) ) ) )
| ! [V_e: $i,V_T: $i] :
~ ( 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)],[1177]) ).
thf(1320,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1176]) ).
thf(1321,plain,
( ( ! [V_V: $i,V_T: $i,V_v: $i,V_a: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ V_a ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[847]) ).
thf(1322,plain,
( ( ! [V_b: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_c @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1175]) ).
thf(1323,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1174]) ).
thf(1324,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1173]) ).
thf(1325,plain,
( ( ! [V_list: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1172]) ).
thf(1326,plain,
( ( ! [V_P: $i,V_D: $i,V_E: $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 ) ) ) )
| ! [V_e: $i,V_T: $i] :
~ ( 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)],[1171]) ).
thf(1327,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1170]) ).
thf(1328,plain,
( ( ! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[840]) ).
thf(1329,plain,
( ( ! [V_val: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1169]) ).
thf(1330,plain,
( ( ! [V_T: $i,V_D: $i,V_P: $i] :
( ( V_T
= ( c_Type_Oty_OClass @ V_D ) )
| ! [V_E: $i,V_e: $i] :
~ ( 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)],[1168]) ).
thf(1331,plain,
( ( ! [V_P: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[837]) ).
thf(1332,plain,
( ( ! [V_P: $i,V_e: $i,V_M: $i,V_ps: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_ps @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[836]) ).
thf(1333,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1167]) ).
thf(1334,plain,
( ( ! [V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1166]) ).
thf(1335,plain,
( ( ! [V_g: $i,V_h: $i,T_a: $i,T_b: $i] :
( ( c_Map_Omap__le @ V_g @ V_h @ T_a @ T_b )
| ! [V_f: $i] :
~ ( c_Map_Omap__le @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ V_h @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[1165]) ).
thf(1336,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1164]) ).
thf(1337,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[831]) ).
thf(1338,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1163]) ).
thf(1339,plain,
( ( ! [V_a_H: $i,V_exp_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1162]) ).
thf(1340,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1161]) ).
thf(1341,plain,
( ( ! [V_C: $i,V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[827]) ).
thf(1342,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1160]) ).
thf(1343,plain,
( ( ! [V_P: $i,V_e: $i,V_M: $i,V_es: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[825]) ).
thf(1344,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_H @ V_s_092_060_094isub_0622 )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ V_e_H @ V_s_092_060_094isub_0622 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1159]) ).
thf(1345,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCall @ 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)],[1158]) ).
thf(1346,plain,
( ( ! [V_exp: $i,T_a: $i,V_exp_H: $i] :
( ( ( c_Expr_Oexp_Othrow @ V_exp @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) )
| ( V_exp = V_exp_H ) ) )
= $true ),
inference(copy,[status(thm)],[1157]) ).
thf(1347,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_a: $i,V_exp: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1156]) ).
thf(1348,plain,
( ( ! [V_a: $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_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1155]) ).
thf(1349,plain,
( ( ! [V_P: $i,V_V: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[819]) ).
thf(1350,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1154]) ).
thf(1351,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1153]) ).
thf(1352,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)],[1152]) ).
thf(1353,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1151]) ).
thf(1354,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1150]) ).
thf(1355,plain,
( ( ! [V_a_H: $i,V_exp_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1149]) ).
thf(1356,plain,
( ( ! [V_a: $i,V_ty: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1148]) ).
thf(1357,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1147]) ).
thf(1358,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1146]) ).
thf(1359,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1145]) ).
thf(1360,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1144]) ).
thf(1361,plain,
( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_a: $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_OLAss @ V_a @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1143]) ).
thf(1362,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1142]) ).
thf(1363,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1141]) ).
thf(1364,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1140]) ).
thf(1365,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[803]) ).
thf(1366,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[802]) ).
thf(1367,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_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1139]) ).
thf(1368,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)],[1138]) ).
thf(1369,plain,
( ( ! [V_P: $i,V_e: $i,V_c: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[799]) ).
thf(1370,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1137]) ).
thf(1371,plain,
( ( ! [V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1136]) ).
thf(1372,plain,
( ( ! [V_P: $i,V_C: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[796]) ).
thf(1373,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1135]) ).
thf(1374,plain,
( ( ! [V_P: $i,V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[794]) ).
thf(1375,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) )
| ( V_exp = V_exp_H ) ) )
= $true ),
inference(copy,[status(thm)],[1134]) ).
thf(1376,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) )
| ( V_list1 = V_list1_H ) ) )
= $true ),
inference(copy,[status(thm)],[1133]) ).
thf(1377,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_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) )
| ( V_list2 = V_list2_H ) ) )
= $true ),
inference(copy,[status(thm)],[1132]) ).
thf(1378,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1131]) ).
thf(1379,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_092_060_094isub_0622 @ V_s ) )
= $true ),
inference(copy,[status(thm)],[789]) ).
thf(1380,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1130]) ).
thf(1381,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1129]) ).
thf(1382,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1128]) ).
thf(1383,plain,
( ( ! [V_a_H: $i,V_ty_H: $i,V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1127]) ).
thf(1384,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_a: $i,V_ty: $i,V_exp: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a @ V_ty @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1126]) ).
thf(1385,plain,
( ( ! [V_P: $i,V_V: $i,V_T: $i,V_u: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[783]) ).
thf(1386,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1125]) ).
thf(1387,plain,
( ( ! [V_P: $i,V_h_H: $i,V_l: $i,V_E: $i,T_a: $i] :
( ( c_Conform_Olconf @ V_P @ V_h_H @ V_l @ V_E @ T_a )
| ! [V_h: $i] :
( ~ ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_Conform_Olconf @ V_P @ V_h @ V_l @ V_E @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1124]) ).
thf(1388,plain,
( ( ! [V_P: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[780]) ).
thf(1389,plain,
( ( ! [V_a_H: $i,V_exp_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1123]) ).
thf(1390,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1122]) ).
thf(1391,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1121]) ).
thf(1392,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1120]) ).
thf(1393,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCall @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1119]) ).
thf(1394,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1118]) ).
thf(1395,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[773]) ).
thf(1396,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1117]) ).
thf(1397,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)],[1116]) ).
thf(1398,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)],[1115]) ).
thf(1399,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1114]) ).
thf(1400,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1113]) ).
thf(1401,plain,
( ( ! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[767]) ).
thf(1402,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_a_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OLAss @ V_a_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1112]) ).
thf(1403,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_a_H: $i,V_ty_H: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OBlock @ V_a_H @ V_ty_H @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1111]) ).
thf(1404,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_OCall @ 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)],[1110]) ).
thf(1405,plain,
( ( ! [V_exp_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1109]) ).
thf(1406,plain,
( ( ! [V_a: $i,V_exp: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OLAss @ V_a @ V_exp @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1108]) ).
thf(1407,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OCall @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1107]) ).
thf(1408,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_Othrow @ V_exp_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1106]) ).
thf(1409,plain,
( ( ! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[759]) ).
thf(1410,plain,
( ( ! [V_f: $i,V_g: $i,T_a: $i,T_b: $i] : ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_g @ V_f @ T_a @ T_b ) @ T_a @ T_b ) )
= $true ),
inference(copy,[status(thm)],[758]) ).
thf(1411,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)],[1105]) ).
thf(1412,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_list: $i,V_exp: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCast @ V_list @ V_exp @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1104]) ).
thf(1413,plain,
( ( ! [V_P: $i,V_C: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[755]) ).
thf(1414,plain,
( ( ! [V_f: $i,V_g: $i,T_a: $i,T_b: $i,V_h: $i] :
( ( c_Map_Omap__le @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ V_h @ T_a @ T_b )
| ~ ( c_Map_Omap__le @ V_f @ ( c_Map_Omap__add @ V_f @ V_g @ T_a @ T_b ) @ T_a @ T_b )
| ~ ( c_Map_Omap__le @ V_g @ V_h @ T_a @ T_b )
| ~ ( c_Map_Omap__le @ V_f @ V_h @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[754]) ).
thf(1415,plain,
( ( ! [V_P: $i,V_C: $i,V_e: $i,V_s_092_060_094isub_0620: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[753]) ).
thf(1416,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ! [V_v_092_060_094isub_0621: $i] :
~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1103]) ).
thf(1417,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[751]) ).
thf(1418,plain,
( ( ! [V_V: $i,V_T: $i,V_v: $i,V_u: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ V_V @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[750]) ).
thf(1419,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_H: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OFAss @ V_e_092_060_094isub_0621 @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 )
| ! [V_v: $i] :
~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(copy,[status(thm)],[1102]) ).
thf(1420,plain,
( ( ! [V_P: $i,V_C: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCast @ V_C @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[748]) ).
thf(1421,plain,
( ( ! [V_P: $i,V_v_092_060_094isub_0621: $i,V_bop: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[747]) ).
thf(1422,plain,
( ( ! [V_P: $i,V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[746]) ).
thf(1423,plain,
( ( ! [V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[745]) ).
thf(1424,plain,
( ( ! [V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[744]) ).
thf(1425,plain,
( ( ! [V_v: $i,V_bop: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[743]) ).
thf(1426,plain,
( ( ! [V_v_092_060_094isub_0621: $i,V_bop: $i,V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[742]) ).
thf(1427,plain,
( ( ! [V_P: $i,V_h_H: $i,V_l_H: $i,V_E: $i,V_h: $i,V_l: $i,V_e: $i] :
( ( c_Conform_Olconf @ V_P @ V_h_H @ V_l_H @ V_E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Olconf @ V_P @ V_h @ V_l @ V_E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [V_T: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ V_T )
| ! [V_e_H: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1101]) ).
thf(1428,plain,
( ( ! [V_P: $i,V_h_H: $i,V_h: $i,V_E: $i,V_e: $i,V_T: $i,V_l: $i] :
( ( c_Conform_Ohconf @ V_P @ V_h_H @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Ohconf @ V_P @ V_h @ ( 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 @ V_T )
| ! [V_e_H: $i,V_l_H: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1100]) ).
thf(1429,plain,
( ( ! [V_C: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[739]) ).
thf(1430,plain,
( ( ! [V_P: $i,V_b: $i,V_c: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OCond @ V_b @ ( c_Expr_Oexp_OSeq @ V_c @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[738]) ).
thf(1431,plain,
( ( ! [V_P: $i,V_b: $i,V_c: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_b @ ( c_Expr_Oexp_OSeq @ V_c @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[737]) ).
thf(1432,plain,
( ( ! [V_P: $i,V_b: $i,V_c: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H )
| ~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OCond @ V_b @ ( c_Expr_Oexp_OSeq @ V_c @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[736]) ).
thf(1433,plain,
( ( ! [V_e: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e_H @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[735]) ).
thf(1434,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[734]) ).
thf(1435,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e_H @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[733]) ).
thf(1436,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[732]) ).
thf(1437,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e_H @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[731]) ).
thf(1438,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[730]) ).
thf(1439,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e_H @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[729]) ).
thf(1440,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[728]) ).
thf(1441,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e_H @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[727]) ).
thf(1442,plain,
( ( ! [V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e_H @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[726]) ).
thf(1443,plain,
( ( ! [V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[725]) ).
thf(1444,plain,
( ( ! [V_e: $i,V_h: $i,V_l_092_060_094isub_0620: $i,V_l: $i,V_e_H: $i,V_h_H: $i,V_l_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ ( c_Map_Omap__add @ V_l_092_060_094isub_0620 @ V_l @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ ( c_Map_Omap__add @ V_l_092_060_094isub_0620 @ V_l_H @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[724]) ).
thf(1445,plain,
( ( ! [V_V: $i,V_T: $i,V_u: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ V_V @ V_T @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_u @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[723]) ).
thf(1446,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
| ! [V_F: $i,V_T: $i] :
( ( 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)],[1099]) ).
thf(1447,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_D: $i,V_F: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_ONT )
| ! [V_v: $i] :
( ( 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 ) ) )
| ! [V_T: $i] :
~ ( 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)],[1098]) ).
thf(1448,plain,
( ( ! [V_e: $i,V_M: $i,V_es: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e_H @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[720]) ).
thf(1449,plain,
( ( ! [V_V: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[719]) ).
thf(1450,plain,
( ( ! [V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[718]) ).
thf(1451,plain,
( ( ! [V_e: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[717]) ).
thf(1452,plain,
( ( ! [V_C: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[716]) ).
thf(1453,plain,
( ( ! [V_x: $i,V_y_H: $i,T_a: $i,T_b: $i,V_y: $i,V_P: $i,V_R: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_x @ V_y_H @ T_a @ T_b ) @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Recdef_Osame__fst @ V_P @ V_R @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) )
| ~ ( c_in @ ( c_Pair @ V_y_H @ V_y @ T_b @ T_b ) @ ( hAPP @ V_R @ V_x ) @ ( tc_prod @ T_b @ T_b ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[715]) ).
thf(1454,plain,
( ( ! [V_b: $i,V_b_H: $i,T_b: $i,V_s: $i,V_a: $i,V_a_H: $i] :
( ( c_in @ ( c_Pair @ V_b @ V_b_H @ T_b @ T_b ) @ V_s @ ( tc_prod @ T_b @ T_b ) )
| ! [T_a: $i,V_r: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_a_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_a_H @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1097]) ).
thf(1455,plain,
( ( ! [V_a: $i,V_b: $i,T_a: $i,T_b: $i,V_a_H: $i,V_b_H: $i,V_r: $i] :
( ! [V_s: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_a_H @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_a_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1096]) ).
thf(1456,plain,
( ( ! [V_x: $i,V_b: $i,T_a: $i,T_b: $i,V_b_H: $i,V_r: $i,V_s: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_x @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_x @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) )
| ~ ( c_in @ ( c_Pair @ V_b @ V_b_H @ T_b @ T_b ) @ V_s @ ( tc_prod @ T_b @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[712]) ).
thf(1457,plain,
( ( ! [V_a: $i,V_a_H: $i,T_a: $i,V_r: $i,V_b: $i,T_b: $i] :
( ( V_a = V_a_H )
| ( c_in @ ( c_Pair @ V_a @ V_a_H @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
| ! [V_b_H: $i,V_s: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_a @ V_b @ T_a @ T_b ) @ ( c_Pair @ V_a_H @ V_b_H @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) @ ( c_Wellfounded_Olex__prod @ V_r @ V_s @ T_a @ T_b ) @ ( tc_prod @ ( tc_prod @ T_a @ T_b ) @ ( tc_prod @ T_a @ T_b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1095]) ).
thf(1458,plain,
( ( ! [V_S: $i,T_a: $i,T_b: $i,V_x: $i,V_xs: $i,V_y: $i,V_ys: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_in @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[710]) ).
thf(1459,plain,
( ( ! [V_S: $i,T_a: $i,T_b: $i,V_x: $i,V_xs: $i,V_xa: $i,V_xb: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xs @ V_xb @ T_a @ T_b )
| ~ ( c_in @ ( c_Pair @ V_x @ V_xa @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[709]) ).
thf(1460,plain,
( ( ! [V_S: $i,T_a: $i,T_b: $i,V_x: $i,V_xa: $i,V_y: $i,V_ys: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ V_xa @ V_ys @ T_a @ T_b )
| ~ ( c_in @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[708]) ).
thf(1461,plain,
( ( ! [V_x: $i,V_y: $i,T_a: $i,T_b: $i,V_S: $i] :
( ( c_in @ ( c_Pair @ V_x @ V_y @ T_a @ T_b ) @ V_S @ ( tc_prod @ T_a @ T_b ) )
| ! [V_xs: $i,V_ys: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ V_S @ T_a @ T_b ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[1094]) ).
thf(1462,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e_092_060_094isub_0621 @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_v: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1093]) ).
thf(1463,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e: $i,V_s_092_060_094isub_0622: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_v_092_060_094isub_0621: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1092]) ).
thf(1464,plain,
( ( ! [V_C: $i,V_e: $i,V_s: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[704]) ).
thf(1465,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[703]) ).
thf(1466,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[702]) ).
thf(1467,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[701]) ).
thf(1468,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[700]) ).
thf(1469,plain,
( ( ! [V_b: $i,V_c: $i,V_s: $i,V_e: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[699]) ).
thf(1470,plain,
( ( ! [V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[698]) ).
thf(1471,plain,
( ( ! [V_e: $i,V_h: $i,V_l_092_060_094isub_0620: $i,V_l: $i,V_e_H: $i,V_h_H: $i,V_l_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ ( c_Map_Omap__add @ V_l_092_060_094isub_0620 @ V_l @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ ( c_Map_Omap__add @ V_l_092_060_094isub_0620 @ V_l_H @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[697]) ).
thf(1472,plain,
( ( ! [V_V: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ V_V @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[696]) ).
thf(1473,plain,
( ( ! [V_e: $i,V_s: $i,V_a: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_a @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[695]) ).
thf(1474,plain,
( ( ! [V_C: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ V_C @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[694]) ).
thf(1475,plain,
( ( ! [V_e: $i,V_M: $i,V_es: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ V_e_H @ V_M @ V_es @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[693]) ).
thf(1476,plain,
( ( c_Value_Oval_OUnit != c_Value_Oval_ONull )
= $true ),
inference(copy,[status(thm)],[1091]) ).
thf(1477,plain,
( ( ! [V_p: $i,V_r: $i,T_a: $i] :
( ( c_in @ V_p @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ V_p @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[691]) ).
thf(1478,plain,
( ( c_Value_Oval_ONull != c_Value_Oval_OUnit )
= $true ),
inference(copy,[status(thm)],[1090]) ).
thf(1479,plain,
( ( ! [V_x: $i,T_a: $i,V_R: $i] : ( c_in @ ( c_Pair @ V_x @ V_x @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_R @ T_a ) @ ( tc_prod @ T_a @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[689]) ).
thf(1480,plain,
( ( ! [V_a: $i,T_a: $i,V_r: $i] : ( c_in @ ( c_Pair @ V_a @ V_a @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[688]) ).
thf(1481,plain,
( ( ! [V_a: $i,V_c: $i,T_a: $i,V_r: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ! [V_b: $i] :
( ~ ( c_in @ ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1089]) ).
thf(1482,plain,
( ( ! [V_a: $i,V_c: $i,T_a: $i,V_r: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ! [V_b: $i] :
( ~ ( c_in @ ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1088]) ).
thf(1483,plain,
( ( ! [V_a: $i,V_c: $i,T_a: $i,V_r: $i] :
( ( c_in @ ( c_Pair @ V_a @ V_c @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) )
| ! [V_b: $i] :
( ~ ( c_in @ ( c_Pair @ V_b @ V_c @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) )
| ~ ( c_in @ ( c_Pair @ V_a @ V_b @ T_a @ T_a ) @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ ( tc_prod @ T_a @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1087]) ).
thf(1484,plain,
( ( ! [V_b: $i,V_c: $i,V_s: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_b @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[684]) ).
thf(1485,plain,
( ( ! [V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[683]) ).
thf(1486,plain,
( ( ! [V_r: $i,T_a: $i] :
( ( c_Transitive__Closure_Ortrancl @ ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) @ T_a )
= ( c_Transitive__Closure_Ortrancl @ V_r @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[682]) ).
thf(1487,plain,
( ( ! [V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_e_092_060_094isub_0622_H: $i,V_s_092_060_094isub_0622: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622_H @ V_s_092_060_094isub_0622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [V_v_092_060_094isub_0621: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1086]) ).
thf(1488,plain,
( ( ! [V_e: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_v: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[680]) ).
thf(1489,plain,
( ( ! [V_P: $i,V_E: $i,V_s_H: $i,V_s: $i,V_e: $i] :
( ( c_TypeSafe__Mirabelle_Osconf @ V_P @ V_E @ V_s_H )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ V_P @ V_E @ V_s )
| ! [V_T: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ ( c_State_Ohp @ V_s ) @ V_E @ V_e @ V_T )
| ! [V_e_H: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1085]) ).
thf(1490,plain,
( ( ! [V_b: $i,V_c: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_b @ ( c_Expr_Oexp_OSeq @ V_c @ ( c_Expr_Oexp_OWhile @ V_b @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[678]) ).
thf(1491,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)],[1084]) ).
thf(1492,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1083]) ).
thf(1493,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OWhile @ 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)],[1082]) ).
thf(1494,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i] :
( ! [V_bop_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ) )
= $true ),
inference(copy,[status(thm)],[1081]) ).
thf(1495,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i] :
( ! [V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) )
| ( V_bop = V_bop_H ) ) )
= $true ),
inference(copy,[status(thm)],[1080]) ).
thf(1496,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ) )
= $true ),
inference(copy,[status(thm)],[1079]) ).
thf(1497,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1078]) ).
thf(1498,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ V_e_H @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[670]) ).
thf(1499,plain,
( ( ! [V_P: $i,V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[669]) ).
thf(1500,plain,
( ( ! [V_val: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1077]) ).
thf(1501,plain,
( ( ! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_list = V_list_H ) ) )
= $true ),
inference(copy,[status(thm)],[1076]) ).
thf(1502,plain,
( ( ! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i] :
( ! [V_list_H: $i] :
( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(copy,[status(thm)],[1075]) ).
thf(1503,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [V_T_092_060_094isub_0622: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
| ! [V_T_092_060_094isub_0621: $i] :
~ ( 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)],[1074]) ).
thf(1504,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1073]) ).
thf(1505,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1072]) ).
thf(1506,plain,
( ( ! [V_list_H: $i] :
( c_Type_Oty_ONT
!= ( c_Type_Oty_OClass @ V_list_H ) ) )
= $true ),
inference(copy,[status(thm)],[1071]) ).
thf(1507,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)],[1070]) ).
thf(1508,plain,
( ( ! [V_list_H: $i] :
( ( c_Type_Oty_OClass @ V_list_H )
!= c_Type_Oty_OBoolean ) )
= $true ),
inference(copy,[status(thm)],[1069]) ).
thf(1509,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1068]) ).
thf(1510,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1067]) ).
thf(1511,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1066]) ).
thf(1512,plain,
( ( ! [V_e: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ V_e_H @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[656]) ).
thf(1513,plain,
( ( ! [V_v_092_060_094isub_0621: $i,V_bop: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[655]) ).
thf(1514,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1065]) ).
thf(1515,plain,
( ( ! [V_P: $i,V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBinOp @ V_e @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OBinOp @ V_e_H @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[653]) ).
thf(1516,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1064]) ).
thf(1517,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)],[1063]) ).
thf(1518,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1062]) ).
thf(1519,plain,
( ( ! [V_P: $i,V_v: $i,V_s: $i] : ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[649]) ).
thf(1520,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1061]) ).
thf(1521,plain,
( ( ! [V_e_H: $i,V_v: $i,V_P: $i] :
( ( V_e_H
= ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) )
| ! [V_s: $i,V_s_H: $i] :
~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[1060]) ).
thf(1522,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)],[1059]) ).
thf(1523,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1058]) ).
thf(1524,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ V_e_H @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[644]) ).
thf(1525,plain,
( ( ! [V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ V_e_H @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[643]) ).
thf(1526,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1057]) ).
thf(1527,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OSeq @ V_e @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OSeq @ V_e_H @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[641]) ).
thf(1528,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)],[1056]) ).
thf(1529,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)],[1055]) ).
thf(1530,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)],[1054]) ).
thf(1531,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)],[1053]) ).
thf(1532,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)],[1052]) ).
thf(1533,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)],[1051]) ).
thf(1534,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)],[1050]) ).
thf(1535,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,T_a: $i,V_y: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xa @ V_ys @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) ) ) )
= $true ),
inference(copy,[status(thm)],[633]) ).
thf(1536,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i,V_xa: $i,V_xb: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_xb @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[632]) ).
thf(1537,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) ) ) )
= $true ),
inference(copy,[status(thm)],[631]) ).
thf(1538,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)],[1049]) ).
thf(1539,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1048]) ).
thf(1540,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)],[1047]) ).
thf(1541,plain,
( ( ! [V_exp1: $i,V_bop: $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_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1046]) ).
thf(1542,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1045]) ).
thf(1543,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_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1044]) ).
thf(1544,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1043]) ).
thf(1545,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1042]) ).
thf(1546,plain,
( ( ! [V_v: $i,V_F: $i,V_D: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_F @ V_D @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[622]) ).
thf(1547,plain,
( ( ! [V_P: $i,V_e: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OCond @ V_e_H @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[621]) ).
thf(1548,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp_H: $i,V_list1_H: $i,V_list2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1041]) ).
thf(1549,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ! [V_x: $i,V_y: $i] :
~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[1040]) ).
thf(1550,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1039]) ).
thf(1551,plain,
( ( ! [V_h: $i,V_h_H: $i,V_e: $i,V_l: $i,V_e_H: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H )
| ! [V_l_H: $i,V_P: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1038]) ).
thf(1552,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1037]) ).
thf(1553,plain,
( ( ! [V_exp1_H: $i,V_bop_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1_H @ V_bop_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1036]) ).
thf(1554,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1035]) ).
thf(1555,plain,
( ( ! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAss @ V_e @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OFAss @ V_e_H @ V_F @ V_D @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[613]) ).
thf(1556,plain,
( ( ! [V_P: $i,V_e: $i,V_F: $i,V_D: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OFAcc @ V_e @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OFAcc @ V_e_H @ V_F @ V_D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[612]) ).
thf(1557,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [V_T_092_060_094isub_0622: $i] :
~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
| ! [V_T_092_060_094isub_0621: $i] :
~ ( 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)],[1034]) ).
thf(1558,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i,V_exp3: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1033]) ).
thf(1559,plain,
( ( ! [V_list_H: $i] :
( c_Type_Oty_OBoolean
!= ( c_Type_Oty_OClass @ V_list_H ) ) )
= $true ),
inference(copy,[status(thm)],[1032]) ).
thf(1560,plain,
( ( ! [V_P: $i,V_e: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OTryCatch @ V_e @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OTryCatch @ V_e_H @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[608]) ).
thf(1561,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1031]) ).
thf(1562,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp: $i,V_list1: $i,V_list2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1030]) ).
thf(1563,plain,
( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1029]) ).
thf(1564,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1028]) ).
thf(1565,plain,
( ( ! [V_e: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ V_e_H @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[603]) ).
thf(1566,plain,
( ( ! [V_x: $i,V_S: $i] :
( ! [T_a: $i] : ( c_in @ V_x @ V_S @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_S @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[1027]) ).
thf(1567,plain,
( ( ! [V_S: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_S @ V_x ) )
| ! [T_a: $i] :
~ ( c_in @ V_x @ V_S @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1026]) ).
thf(1568,plain,
( ( ! [V_v: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_092_060_094isub_0622 @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[600]) ).
thf(1569,plain,
( ( ! [V_exp_H: $i,V_list1_H: $i,V_list2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp_H @ V_list1_H @ V_list2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1025]) ).
thf(1570,plain,
( ( ! [V_list_H: $i] :
( ( c_Type_Oty_OClass @ V_list_H )
!= c_Type_Oty_ONT ) )
= $true ),
inference(copy,[status(thm)],[1024]) ).
thf(1571,plain,
( ( ! [V_P: $i,V_x: $i,V_y: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) )
| ! [V_ys: $i,T_b: $i] :
~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[1023]) ).
thf(1572,plain,
( ( ! [V_P: $i,V_v_092_060_094isub_0621: $i,V_bop: $i,V_e: $i,V_s: $i,V_e_H: $i,V_s_H: $i] :
( ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_bop @ V_e_H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H )
| ~ ( c_SmallStep_Oredp @ V_P @ V_e @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[596]) ).
thf(1573,plain,
( ( ! [V_exp: $i,V_list1: $i,V_list2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OFAcc @ V_exp @ V_list1 @ V_list2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1022]) ).
thf(1574,plain,
( ( ! [V_s_H: $i,V_s: $i,V_P: $i] :
( ( V_s_H = V_s )
| ! [V_v: $i,V_e_H: $i] :
~ ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_H @ V_s_H ) ) )
= $true ),
inference(copy,[status(thm)],[1021]) ).
thf(1575,plain,
( ( ! [V_e: $i,V_bop: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_e_H: $i,V_s_H: $i,V_P: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ V_e_H @ V_bop @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ V_e @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ V_e_H @ V_s_H @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[593]) ).
thf(1576,plain,
( ( ! [V_exp1: $i,V_list1: $i,V_list2: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1 @ V_list1 @ V_list2 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1020]) ).
thf(1577,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i] :
( ! [V_exp2_H: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ) )
= $true ),
inference(copy,[status(thm)],[1019]) ).
thf(1578,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OWhile @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ) )
= $true ),
inference(copy,[status(thm)],[1018]) ).
thf(1579,plain,
( ( ! [V_exp1: $i,V_bop: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1017]) ).
thf(1580,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OWhile @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1016]) ).
thf(1581,plain,
( ( ! [V_x: $i,V_t: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_t @ T_a )
!= V_t ) )
= $true ),
inference(copy,[status(thm)],[1015]) ).
thf(1582,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i] :
( V_xs
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1014]) ).
thf(1583,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)],[1013]) ).
thf(1584,plain,
( ( ! [V_v: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i,V_P: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ V_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[584]) ).
thf(1585,plain,
( ( ! [V_exp1_H: $i,V_list1_H: $i,V_list2_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_bop: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OFAss @ V_exp1_H @ V_list1_H @ V_list2_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OBinOp @ V_exp1 @ V_bop @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1012]) ).
thf(1586,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_OWhile @ 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)],[1011]) ).
thf(1587,plain,
( ( ! [V_P: $i,V_h: $i,T_a: $i,V_vs: $i,V_Ts_H: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts_H @ tc_Value_Oval @ tc_Type_Oty )
| ! [V_Ts: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ts @ V_Ts_H @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts @ tc_Value_Oval @ tc_Type_Oty ) ) ) )
= $true ),
inference(copy,[status(thm)],[1010]) ).
thf(1588,plain,
( ( v_v____ = c_Value_Oval_ONull )
= $true ),
inference(copy,[status(thm)],[580]) ).
thf(1589,plain,
( ( ! [V_P: $i,T_a: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ c_Type_Oty_ONT ) @ V_T ) )
| ! [V_h: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ c_Value_Oval_ONull ) @ V_T ) ) ) )
= $true ),
inference(copy,[status(thm)],[1009]) ).
thf(1590,plain,
( ( ! [V_P: $i,V_h: $i,T_a: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ c_Value_Oval_ONull ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ c_Type_Oty_ONT ) @ V_T ) ) ) )
= $true ),
inference(copy,[status(thm)],[578]) ).
thf(1591,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)],[1008]) ).
thf(1592,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)],[1007]) ).
thf(1593,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1006]) ).
thf(1594,plain,
( ( c_Type_Oty_OBoolean != c_Type_Oty_ONT )
= $true ),
inference(copy,[status(thm)],[1005]) ).
thf(1595,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_C: $i,V_T: $i,V_V: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ V_C @ V_E @ V_P @ V_T @ V_V @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[573]) ).
thf(1596,plain,
( ( ! [V_h: $i,V_h_H: $i,V_P: $i,V_es: $i,V_l: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H )
| ! [V_es_H: $i,V_l_H: $i] :
~ ( c_BigStep_Oevals @ V_P @ V_es @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ V_es_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1004]) ).
thf(1597,plain,
( ( ! [V_P: $i,V_E: $i,V_e: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ! [V_c: $i,V_T: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[1003]) ).
thf(1598,plain,
( ( ! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( V_T
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ! [V_e: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[1002]) ).
thf(1599,plain,
( ( ! [V_P: $i,V_x: $i,V_T_092_060_094isub_0622: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_x ) )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ! [V_e: $i] :
( ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1001]) ).
thf(1600,plain,
( ( ! [V_P: $i,V_T_092_060_094isub_0621: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ V_x ) )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 )
| ! [V_e: $i] :
( ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0621 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1000]) ).
thf(1601,plain,
( ( ! [V_P: $i,V_h_H: $i,T_a: $i,V_v: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h_H @ T_a ) @ V_v ) @ V_T ) )
| ! [V_h: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T ) )
| ~ ( c_Objects_Ohext @ V_h @ V_h_H ) ) ) )
= $true ),
inference(copy,[status(thm)],[999]) ).
thf(1602,plain,
( ( ! [V_h: $i] : ( c_Objects_Ohext @ V_h @ V_h ) )
= $true ),
inference(copy,[status(thm)],[566]) ).
thf(1603,plain,
( ( ! [V_P: $i,V_h_H: $i,T_a: $i,V_vs: $i,V_Ts: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h_H @ T_a ) @ V_vs @ V_Ts @ tc_Value_Oval @ tc_Type_Oty )
| ! [V_h: $i] :
( ~ ( c_Objects_Ohext @ V_h @ V_h_H )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts @ tc_Value_Oval @ tc_Type_Oty ) ) ) )
= $true ),
inference(copy,[status(thm)],[998]) ).
thf(1604,plain,
( ( ! [V_h: $i,V_h_H_H: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H_H )
| ! [V_h_H: $i] :
( ~ ( c_Objects_Ohext @ V_h_H @ V_h_H_H )
| ~ ( c_Objects_Ohext @ V_h @ V_h_H ) ) ) )
= $true ),
inference(copy,[status(thm)],[997]) ).
thf(1605,plain,
( ( ! [V_P: $i,T_a: $i,V_C: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ c_Type_Oty_ONT ) @ ( c_Type_Oty_OClass @ V_C ) ) ) )
= $true ),
inference(copy,[status(thm)],[563]) ).
thf(1606,plain,
( ( ! [V_P: $i,V_v: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s ) )
= $true ),
inference(copy,[status(thm)],[562]) ).
thf(1607,plain,
( ( ! [V_P: $i,V_E: $i,V_e: $i,V_e_092_060_094isub_0621: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ! [V_e_092_060_094isub_0622: $i,V_T: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[996]) ).
thf(1608,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[995]) ).
thf(1609,plain,
( ( ! [V_xs: $i,V_ys: $i] :
( ( V_xs = V_ys )
| ! [T_a: $i] :
~ ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_xs @ V_ys @ T_a @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[994]) ).
thf(1610,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[993]) ).
thf(1611,plain,
( ( c_Type_Oty_ONT != c_Type_Oty_OBoolean )
= $true ),
inference(copy,[status(thm)],[992]) ).
thf(1612,plain,
( ( ! [V_P: $i,T_a: $i] :
( ( c_COMBI @ V_P @ T_a )
= V_P ) )
= $true ),
inference(copy,[status(thm)],[556]) ).
thf(1613,plain,
( ( ! [V_P: $i,V_C: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_V: $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 ) ) ) )
| ! [V_e_092_060_094isub_0622: $i,V_T: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[991]) ).
thf(1614,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_T: $i,V_e_092_060_094isub_0621: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ! [V_e: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[990]) ).
thf(1615,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_T: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ! [V_e: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[989]) ).
thf(1616,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [V_T_092_060_094isub_0621: $i,V_T_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ 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)],[988]) ).
thf(1617,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OBinOp @ V_e_092_060_094isub_0621 @ c_Expr_Obop_OEq @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [V_T_092_060_094isub_0622: $i,V_T_092_060_094isub_0621: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_T_092_060_094isub_0621 ) )
| ~ ( 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)],[987]) ).
thf(1618,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[986]) ).
thf(1619,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[985]) ).
thf(1620,plain,
( ( ! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i] :
( ( V_T
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ! [V_e: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[984]) ).
thf(1621,plain,
( ( ! [V_P: $i,V_x: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_x ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ! [V_e: $i] :
( ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[983]) ).
thf(1622,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)],[546]) ).
thf(1623,plain,
( ( ! [V_m1: $i,V_m3: $i,T_a: $i,T_b: $i] :
( ( c_Map_Omap__le @ V_m1 @ V_m3 @ T_a @ T_b )
| ! [V_m2: $i] :
( ~ ( 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)],[982]) ).
thf(1624,plain,
( ( ! [V_P: $i,V_E_H: $i,V_e: $i,V_T: $i] :
( ( c_WellType_OWT @ V_P @ V_E_H @ V_e @ V_T )
| ! [V_E: $i] :
( ~ ( 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)],[981]) ).
thf(1625,plain,
( ( ! [V_h: $i,V_h_H: $i,V_P: $i,V_e: $i,V_l: $i] :
( ( c_Objects_Ohext @ V_h @ V_h_H )
| ! [V_e_H: $i,V_l_H: $i] :
~ ( c_BigStep_Oeval @ V_P @ V_e @ ( c_Pair @ V_h @ V_l @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ V_e_H @ ( c_Pair @ V_h_H @ V_l_H @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[980]) ).
thf(1626,plain,
( ( ! [V_P: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_x ) )
| ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ! [V_e: $i] :
( ~ ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[979]) ).
thf(1627,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_T: $i,V_C: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T )
| ! [V_V: $i,V_e_092_060_094isub_0622: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[978]) ).
thf(1628,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)],[977]) ).
thf(1629,plain,
( ( ! [V_P: $i,V_E: $i,V_T: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ! [V_e: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[976]) ).
thf(1630,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)],[975]) ).
thf(1631,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ! [V_c: $i,V_T: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OWhile @ V_e @ V_c @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[974]) ).
thf(1632,plain,
( ( ! [V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[973]) ).
thf(1633,plain,
( ( ! [V_P: $i,V_v: $i,V_e_092_060_094isub_0622: $i,V_s: $i] : ( c_SmallStep_Oredp @ V_P @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s @ V_e_092_060_094isub_0622 @ V_s ) )
= $true ),
inference(copy,[status(thm)],[535]) ).
thf(1634,plain,
( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ v_v____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____ )
= $true ),
inference(copy,[status(thm)],[534]) ).
thf(1635,plain,
( ( ! [V_P: $i,T_a: $i,V_T: $i,V_h: $i,V_v: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ ( c_Conform_Osko__Conform__Xconf__def__1__1 @ V_P @ V_T @ V_h @ V_v @ T_a ) ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T ) ) ) )
= $true ),
inference(copy,[status(thm)],[533]) ).
thf(1636,plain,
( ( ! [V_P: $i,T_a: $i,V_x: $i,V_xs: $i,V_xa: $i,V_xb: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ V_xa @ V_xb @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_xs @ V_xb @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_x ) @ V_xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[532]) ).
thf(1637,plain,
( ( ! [V_f: $i,V_g: $i] :
( ( V_f = V_g )
| ! [T_a: $i,T_b: $i] :
( ~ ( 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)],[972]) ).
thf(1638,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_val: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[971]) ).
thf(1639,plain,
( ( ! [V_v: $i,V_P: $i] :
( ( V_v = c_Value_Oval_ONull )
| ! [V_h: $i,T_a: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ c_Type_Oty_ONT ) ) ) )
= $true ),
inference(copy,[status(thm)],[970]) ).
thf(1640,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0621: $i,V_C: $i,V_V: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0620: $i,V_v_092_060_094isub_0621: $i,V_s_092_060_094isub_0621: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 )
| ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[528]) ).
thf(1641,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i,V_exp3: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[969]) ).
thf(1642,plain,
( ( ! [V_P: $i,V_T_092_060_094isub_0621: $i,V_x: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ V_x ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 )
| ! [V_e: $i] :
( ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0621 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[968]) ).
thf(1643,plain,
( ( ! [V_P: $i,V_x: $i,V_T_092_060_094isub_0622: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_x ) )
| ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ! [V_e: $i] :
( ~ ( c_WellType_OWT @ V_P @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[967]) ).
thf(1644,plain,
( ( ! [V_P: $i,V_e_092_060_094isub_0620: $i,V_e_092_060_094isub_0621: $i,V_s_092_060_094isub_0620: $i,V_e_092_060_094isub_0622: $i,V_s_092_060_094isub_0622: $i] :
( ( c_BigStep_Oeval @ V_P @ ( c_Expr_Oexp_OSeq @ V_e_092_060_094isub_0620 @ V_e_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0620 @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0622 )
| ! [V_s_092_060_094isub_0621: $i] :
( ~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0621 @ V_s_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_s_092_060_094isub_0622 )
| ! [V_v: $i] :
~ ( c_BigStep_Oeval @ V_P @ V_e_092_060_094isub_0620 @ V_s_092_060_094isub_0620 @ ( c_Expr_Oexp_OVal @ V_v @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_s_092_060_094isub_0621 ) ) ) )
= $true ),
inference(copy,[status(thm)],[966]) ).
thf(1645,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] :
( ( 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 )
| ! [V_T_092_060_094isub_0621: $i] :
~ ( 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)],[965]) ).
thf(1646,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)],[522]) ).
thf(1647,plain,
( ( ! [V_P: $i,V_h: $i,V_E: $i,V_e: $i,V_e_092_060_094isub_0621: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ! [V_e_092_060_094isub_0622: $i,V_T: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[964]) ).
thf(1648,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0622: $i,V_T: $i,V_e_092_060_094isub_0621: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0622 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ! [V_e: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[963]) ).
thf(1649,plain,
( ( ! [V_P: $i,V_E: $i,V_e_092_060_094isub_0621: $i,V_T: $i,V_e_092_060_094isub_0622: $i] :
( ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ! [V_e: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[962]) ).
thf(1650,plain,
( ( ! [V_P: $i,T_a: $i,V_Ts_H: $i,V_h: $i,V_vs: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ ( c_Conform_Osko__Conform__Xconfs__conv__map__1__1 @ V_P @ V_Ts_H @ V_h @ V_vs @ T_a ) @ V_Ts_H @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_vs @ V_Ts_H @ tc_Value_Oval @ tc_Type_Oty ) ) )
= $true ),
inference(copy,[status(thm)],[518]) ).
thf(1651,plain,
( ( ! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i] :
( ( V_T
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) )
| ! [V_e: $i] :
~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[961]) ).
thf(1652,plain,
( ( ! [V_P: $i,V_E: $i,V_T: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ! [V_e: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[960]) ).
thf(1653,plain,
( ( c_in @ ( c_Pair @ ( c_Pair @ v_e_092_060_094isub_0622____ @ ( c_Pair @ v_ha____ @ v_la____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ v_e_092_060_094isub_0622_H____ @ ( c_Pair @ v_h_Ha____ @ v_l_Ha____ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ v_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[515]) ).
thf(1654,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)],[959]) ).
thf(1655,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)],[958]) ).
thf(1656,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[957]) ).
thf(1657,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] :
( ( 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 )
| ! [V_T_092_060_094isub_0621: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 ) ) )
= $true ),
inference(copy,[status(thm)],[956]) ).
thf(1658,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i,V_exp3_H: $i] :
( ( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) )
| ( V_exp3 = V_exp3_H ) ) )
= $true ),
inference(copy,[status(thm)],[955]) ).
thf(1659,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ! [V_exp3_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ) )
= $true ),
inference(copy,[status(thm)],[954]) ).
thf(1660,plain,
( ( ! [V_exp1: $i,V_exp2: $i,V_exp3: $i,T_a: $i,V_exp1_H: $i] :
( ! [V_exp2_H: $i,V_exp3_H: $i] :
( ( c_Expr_Oexp_OCond @ V_exp1 @ V_exp2 @ V_exp3 @ T_a )
!= ( c_Expr_Oexp_OCond @ V_exp1_H @ V_exp2_H @ V_exp3_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ) )
= $true ),
inference(copy,[status(thm)],[953]) ).
thf(1661,plain,
( ( ! [V_T: $i,V_E: $i,V_P: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i] :
( ( V_T
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ V_E @ V_P @ V_T @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 ) ) )
| ! [V_e: $i] :
~ ( c_WellType_OWT @ V_P @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[952]) ).
thf(1662,plain,
( ( ! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_exp2 = V_exp2_H ) ) )
= $true ),
inference(copy,[status(thm)],[951]) ).
thf(1663,plain,
( ( ! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i] :
( ! [V_exp2_H: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(copy,[status(thm)],[950]) ).
thf(1664,plain,
( ( ! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i] :
( ! [V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_list = V_list_H ) ) )
= $true ),
inference(copy,[status(thm)],[949]) ).
thf(1665,plain,
( ( ! [V_exp1: $i,V_list: $i,V_a: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i] :
( ! [V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1 @ V_list @ V_a @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) )
| ( V_exp1 = V_exp1_H ) ) )
= $true ),
inference(copy,[status(thm)],[948]) ).
thf(1666,plain,
( ( ! [T_a: $i,V_x: $i] : ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_x @ V_x @ T_a @ T_a ) )
= $true ),
inference(copy,[status(thm)],[502]) ).
thf(1667,plain,
( ( ! [V_val: $i,T_a: $i,V_exp1_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[947]) ).
thf(1668,plain,
( ( ! [V_P: $i,V_h: $i,T_a: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ c_Value_Oval_ONull ) @ c_Type_Oty_ONT ) ) )
= $true ),
inference(copy,[status(thm)],[500]) ).
thf(1669,plain,
( ( ! [V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i,T_a: $i,V_exp1: $i,V_exp2: $i] :
( ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a )
!= ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[946]) ).
thf(1670,plain,
( ( ! [V_exp1: $i,V_exp2: $i,T_a: $i,V_exp1_H: $i,V_list_H: $i,V_a_H: $i,V_exp2_H: $i] :
( ( c_Expr_Oexp_OSeq @ V_exp1 @ V_exp2 @ T_a )
!= ( c_Expr_Oexp_OTryCatch @ V_exp1_H @ V_list_H @ V_a_H @ V_exp2_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[945]) ).
thf(1671,plain,
( ( ! [V_val: $i,T_a: $i,V_val_H: $i] :
( ( ( c_Expr_Oexp_OVal @ V_val @ T_a )
!= ( c_Expr_Oexp_OVal @ V_val_H @ T_a ) )
| ( V_val = V_val_H ) ) )
= $true ),
inference(copy,[status(thm)],[944]) ).
thf(1672,plain,
( ( ! [V_E: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_E @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ V_E @ v_P @ V_T @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_e_092_060_094isub_0622____ @ 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)],[496]) ).
thf(1673,plain,
( ( ! [V_Ea: $i,V_Ta: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XIH__1 @ V_Ea @ v_P @ V_Ta @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ V_Ta ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_Ea @ v_e_092_060_094isub_0622____ @ 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)],[495]) ).
thf(1674,plain,
( ( ! [V_E: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_E @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__2__1 @ V_E @ v_P @ V_T @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_e_092_060_094isub_0622____ @ 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)],[494]) ).
thf(1675,plain,
( ( ! [V_E: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ V_E @ v_P @ V_T @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ V_T ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_e_092_060_094isub_0622____ @ 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)],[493]) ).
thf(1676,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] :
( ( 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 )
| ! [V_T_092_060_094isub_0621: $i] :
~ ( 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)],[943]) ).
thf(1677,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)],[491]) ).
thf(1678,plain,
( ( ! [V_E: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__2__1 @ V_E @ v_P @ V_T @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ V_T ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_E @ v_e_092_060_094isub_0622____ @ 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)],[490]) ).
thf(1679,plain,
( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OVal @ v_v____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_ONT )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(1680,plain,
( ( ! [V_P: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_x ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ! [V_e: $i] :
( ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[942]) ).
thf(1681,plain,
( ( ! [V_Ea: $i,V_Ta: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ V_Ea @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XIH__1 @ V_Ea @ v_P @ V_Ta @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ V_Ea @ v_e_092_060_094isub_0622____ @ 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)],[487]) ).
thf(1682,plain,
( ( ! [V_P: $i,V_h: $i,V_E_H: $i,V_e: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E_H @ V_e @ V_T )
| ! [V_E: $i] :
( ~ ( 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)],[941]) ).
thf(1683,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)],[485]) ).
thf(1684,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)],[484]) ).
thf(1685,plain,
( ( ! [V_P: $i,V_C: $i,V_E: $i,V_T: $i,V_V: $i,V_e_092_060_094isub_0621: $i,V_e_092_060_094isub_0622: $i,V_h: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ V_C @ V_E @ V_P @ V_T @ V_V @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ V_h ) ) @ V_T ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OTryCatch @ V_e_092_060_094isub_0621 @ V_C @ V_V @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(1686,plain,
( ( ! [V_P: $i,T_a: $i,V_T: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_T ) @ V_T ) ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(1687,plain,
( ( ! [V_P: $i,T_a: $i,V_S: $i,V_T: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_S ) @ V_T ) )
| ! [V_U: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_U ) @ V_T ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_S ) @ V_U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[940]) ).
thf(1688,plain,
( ( ! [V_P: $i,V_h: $i,T_a: $i,V_v: $i,V_T_H: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T_H ) )
| ! [V_T: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_T ) @ V_T_H ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ V_P @ V_h @ T_a ) @ V_v ) @ V_T ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[939]) ).
thf(1689,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)],[479]) ).
thf(1690,plain,
( ( ! [V_P: $i,V_h_H: $i,V_E: $i,V_e: $i,V_T: $i] :
( ( c_WellTypeRT_OWTrt @ V_P @ V_h_H @ V_E @ V_e @ V_T )
| ! [V_h: $i] :
( ~ ( 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)],[938]) ).
thf(1691,plain,
( ( ! [V_P: $i,V_x: $i,V_T_092_060_094isub_0622: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0622 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622 ) @ V_x ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_T_092_060_094isub_0622 )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_x )
| ! [V_e: $i] :
( ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[937]) ).
thf(1692,plain,
( ( ! [V_P: $i,V_T_092_060_094isub_0621: $i,V_x: $i,V_h: $i,V_E: $i,V_e_092_060_094isub_0622: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0621 ) @ V_x ) )
| ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0622 @ V_x )
| ! [V_e_092_060_094isub_0621: $i] :
( ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e_092_060_094isub_0621 @ V_T_092_060_094isub_0621 )
| ! [V_e: $i] :
( ~ ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ V_e @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ V_P @ V_h @ V_E @ ( c_Expr_Oexp_OCond @ V_e @ V_e_092_060_094isub_0621 @ V_e_092_060_094isub_0622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ V_x )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ V_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ V_T_092_060_094isub_0621 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[936]) ).
thf(1693,plain,
( ( v_thesis____
| ! [V_T_092_060_094isub_0622_H: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622_H ) @ v_T_092_060_094isub_0622____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ V_T_092_060_094isub_0622_H ) ) )
= $true ),
inference(copy,[status(thm)],[935]) ).
thf(1694,plain,
( ( ( c_COMBI @ v_P @ t_a )
= v_P )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(1695,plain,
( ( ! [V_P: $i,T_a: $i,V_Ss: $i,V_Us: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ss @ V_Us @ tc_Type_Oty @ tc_Type_Oty )
| ! [V_Ts: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ts @ V_Us @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_Ss @ V_Ts @ tc_Type_Oty @ tc_Type_Oty ) ) ) )
= $true ),
inference(copy,[status(thm)],[934]) ).
thf(1696,plain,
( ( ! [V_P: $i,T_a: $i,V_xs: $i] : ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ V_P @ T_a ) @ V_xs @ V_xs @ tc_Type_Oty @ tc_Type_Oty ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(1697,plain,
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_T_092_060_094isub_0622____ @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ v_T_092_060_094isub_0622____ ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(1698,plain,
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ ( v_sko__CHAINED__1 @ v_E____ @ v_P @ v_T_092_060_094isub_0622____ @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(1699,plain,
( ( ! [T_a: $i,V_x: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_x ) @ V_x ) ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(1700,plain,
( ( ! [V_X: $i,V_Y: $i] :
( ( V_X = V_Y )
| ! [T_a: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_X ) @ V_Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[933]) ).
thf(1701,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[932]) ).
thf(1702,plain,
v_thesis____ = $false,
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1703,plain,
( ( v_thesis____ = $true )
| ( ( ! [V_x: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_x ) @ v_T_092_060_094isub_0622____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ V_x ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1238]) ).
thf(1704,plain,
! [SV1: $i] :
( ( ! [SY2634: $i,SY2635: $i,SY2636: $i,SY2637: $i] :
( ( c_BigStep_Oeval @ SV1 @ ( c_Expr_Oexp_Othrow @ SY2634 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2635 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY2636 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2637 )
| ~ ( c_BigStep_Oeval @ SV1 @ SY2634 @ SY2635 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY2636 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2637 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1705,plain,
! [SV2: $i] :
( ( ! [SY2638: $i] :
( ( ( c_Value_Oval_OAddr @ SV2 )
!= ( c_Value_Oval_OAddr @ SY2638 ) )
| ( SV2 = SY2638 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1706,plain,
! [SV3: $i] :
( ( ! [SY2639: $i,SY2640: $i,SY2641: $i,SY2642: $i,SY2643: $i] :
( ( c_BigStep_Oeval @ SV3 @ ( c_Expr_Oexp_OWhile @ SY2639 @ SY2640 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2641 @ ( c_Expr_Oexp_Othrow @ SY2642 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2643 )
| ! [SY2644: $i] :
( ~ ( c_BigStep_Oeval @ SV3 @ SY2640 @ SY2644 @ ( c_Expr_Oexp_Othrow @ SY2642 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2643 )
| ~ ( c_BigStep_Oeval @ SV3 @ SY2639 @ SY2641 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2644 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1707,plain,
! [SV4: $i] :
( ( ( c_Value_Oval_OAddr @ SV4 )
!= c_Value_Oval_OUnit )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1708,plain,
! [SV5: $i] :
( ( ( c_Value_Oval_OAddr @ SV5 )
!= c_Value_Oval_ONull )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1243]) ).
thf(1709,plain,
! [SV6: $i] :
( ( ! [SY2645: $i,SY2646: $i,SY2647: $i,SY2648: $i,SY2649: $i,SY2650: $i] :
( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SY2645 @ SY2646 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2647 @ SY2648 @ SY2649 )
| ~ ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SY2645 @ SY2646 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2650 @ SY2648 @ SY2649 )
| ! [SY2651: $i] :
( ! [SY2652: $i] :
~ ( c_BigStep_Oeval @ SV6 @ SY2646 @ SY2651 @ ( c_Expr_Oexp_OVal @ SY2652 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2650 )
| ~ ( c_BigStep_Oeval @ SV6 @ SY2645 @ SY2647 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2651 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1244]) ).
thf(1710,plain,
! [SV7: $i] :
( ( ! [SY2653: $i,SY2654: $i,SY2655: $i] : ( c_SmallStep_Oredp @ SV7 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2653 @ SY2654 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2655 @ SY2653 @ SY2655 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1245]) ).
thf(1711,plain,
! [SV8: $i] :
( ( ! [SY2656: $i,SY2657: $i,SY2658: $i,SY2659: $i,SY2660: $i,SY2661: $i] :
( ( c_BigStep_Oeval @ SV8 @ ( c_Expr_Oexp_OCond @ SY2656 @ SY2657 @ SY2658 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2659 @ SY2660 @ SY2661 )
| ! [SY2662: $i] :
( ~ ( c_BigStep_Oeval @ SV8 @ SY2657 @ SY2662 @ SY2660 @ SY2661 )
| ~ ( c_BigStep_Oeval @ SV8 @ SY2656 @ SY2659 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2662 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1246]) ).
thf(1712,plain,
! [SV9: $i] :
( ( c_Value_Oval_OUnit
!= ( c_Value_Oval_OAddr @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1713,plain,
! [SV10: $i] :
( ( c_Value_Oval_ONull
!= ( c_Value_Oval_OAddr @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1714,plain,
! [SV11: $i] :
( ( ! [SY2663: $i,SY2664: $i,SY2665: $i,SY2666: $i] : ( c_SmallStep_Oredp @ SV11 @ ( c_Expr_Oexp_OBlock @ SY2663 @ SY2664 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY2665 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2666 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY2665 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2666 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1715,plain,
! [SV12: $i] :
( ( ! [SY2667: $i,SY2668: $i,SY2669: $i,SY2670: $i,SY2671: $i] : ( c_SmallStep_Oredp @ SV12 @ ( c_Expr_Oexp_OBlock @ SY2667 @ SY2668 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SY2667 @ ( c_Expr_Oexp_OVal @ SY2669 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY2670 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2671 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY2670 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2671 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1716,plain,
! [SV13: $i] :
( ( ! [SY2672: $i,SY2673: $i,SY2674: $i,SY2675: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV13 @ SY2672 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY2673 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2674 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY2673 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2674 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY2675 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1251]) ).
thf(1717,plain,
! [SV14: $i] :
( ( ! [SY2676: $i,SY2677: $i,SY2678: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV14 @ SY2676 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2677 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV14 @ SY2677 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY2678 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1252]) ).
thf(1718,plain,
! [SV15: $i] :
( ( ! [SY2679: $i,SY2680: $i,SY2681: $i,SY2682: $i,SY2683: $i,SY2684: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SY2679 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY2681 @ SY2682 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2683 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SY2679 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2684 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY2681 @ SY2682 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2683 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY2685: $i] :
( ! [V_v_092_060_094isub_0621: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY2679 @ SY2685 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ V_v_092_060_094isub_0621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2684 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2683 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV15 @ SY2680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2685 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2683 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1253]) ).
thf(1719,plain,
! [SV16: $i] :
( ( ! [SY2687: $i,SY2688: $i,SY2689: $i,SY2690: $i,SY2691: $i,SY2692: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV16 @ SY2687 @ SY2688 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2689 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY2690 @ SY2691 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2692 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY2693: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY2687 @ SY2693 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY2690 @ SY2691 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2692 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV16 @ SY2689 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2693 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2692 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1254]) ).
thf(1720,plain,
! [SV17: $i] :
( ( ! [SY2694: $i,SY2695: $i,SY2696: $i,SY2697: $i,SY2698: $i] :
( ( c_Expr_Oexp_OBlock @ SV17 @ SY2694 @ SY2695 @ SY2696 )
!= ( c_Expr_Oexp_OSeq @ SY2697 @ SY2698 @ SY2696 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1255]) ).
thf(1721,plain,
! [SV18: $i] :
( ( ! [SY2699: $i,SY2700: $i,SY2701: $i,SY2702: $i] :
( ( c_Map_Omap__add @ SV18 @ ( c_Map_Omap__add @ SY2699 @ SY2700 @ SY2701 @ SY2702 ) @ SY2701 @ SY2702 )
= ( c_Map_Omap__add @ ( c_Map_Omap__add @ SV18 @ SY2699 @ SY2701 @ SY2702 ) @ SY2700 @ SY2701 @ SY2702 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1722,plain,
! [SV19: $i] :
( ( ! [SY2703: $i,SY2704: $i,SY2705: $i,SY2706: $i] :
( ( c_Expr_Oexp_Othrow @ SV19 @ SY2703 )
!= ( c_Expr_Oexp_OCond @ SY2704 @ SY2705 @ SY2706 @ SY2703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1257]) ).
thf(1723,plain,
! [SV20: $i] :
( ( ! [SY2707: $i,SY2708: $i,SY2709: $i] :
( ( c_Expr_Oexp_OWhile @ SV20 @ SY2707 @ SY2708 )
!= ( c_Expr_Oexp_Othrow @ SY2709 @ SY2708 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1258]) ).
thf(1724,plain,
! [SV21: $i] :
( ( ! [SY2710: $i,SY2711: $i,SY2712: $i,SY2713: $i,SY2714: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV21 @ SY2710 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2711 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY2712 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2713 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2714 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY2710 @ SY2711 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY2712 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2713 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2714 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1259]) ).
thf(1725,plain,
! [SV22: $i] :
( ( ! [SY2715: $i,SY2716: $i,SY2717: $i,SY2718: $i] :
( ( c_Expr_Oexp_OBlock @ SV22 @ SY2715 @ SY2716 @ SY2717 )
!= ( c_Expr_Oexp_Othrow @ SY2718 @ SY2717 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1260]) ).
thf(1726,plain,
! [SV23: $i] :
( ( ! [SY2719: $i,SY2720: $i,SY2721: $i] :
( ( c_Expr_Oexp_OCast @ SV23 @ SY2719 @ SY2720 )
!= ( c_Expr_Oexp_Othrow @ SY2721 @ SY2720 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1261]) ).
thf(1727,plain,
! [SV24: $i] :
( ( ! [SY2722: $i,SY2723: $i,SY2724: $i,SY2725: $i,SY2726: $i,SY2727: $i] :
( ( c_Expr_Oexp_OCond @ SV24 @ SY2722 @ SY2723 @ SY2724 )
!= ( c_Expr_Oexp_OBlock @ SY2725 @ SY2726 @ SY2727 @ SY2724 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1262]) ).
thf(1728,plain,
! [SV25: $i] :
( ( ! [SY2728: $i,SY2729: $i,SY2730: $i,SY2731: $i] :
( ( c_Expr_Oexp_OWhile @ SV25 @ SY2728 @ SY2729 )
!= ( c_Expr_Oexp_OLAss @ SY2730 @ SY2731 @ SY2729 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1263]) ).
thf(1729,plain,
! [SV26: $i] :
( ( ! [SY2732: $i,SY2733: $i,SY2734: $i] :
( ( c_Expr_Oexp_OCast @ SV26 @ SY2732 @ SY2733 )
!= ( c_Expr_Oexp_OVal @ SY2734 @ SY2733 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1264]) ).
thf(1730,plain,
! [SV27: $i] :
( ( ! [SY2735: $i,SY2736: $i,SY2737: $i,SY2738: $i] :
( ( c_Expr_Oexp_OSeq @ SV27 @ SY2735 @ SY2736 )
!= ( c_Expr_Oexp_OLAss @ SY2737 @ SY2738 @ SY2736 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1731,plain,
! [SV28: $i] :
( ( ! [SY2739: $i,SY2740: $i,SY2741: $i,SY2742: $i,SY2743: $i] :
( ( c_Expr_Oexp_OWhile @ SV28 @ SY2739 @ SY2740 )
!= ( c_Expr_Oexp_OBlock @ SY2741 @ SY2742 @ SY2743 @ SY2740 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1266]) ).
thf(1732,plain,
! [SV29: $i] :
( ( ! [SY2744: $i,SY2745: $i,SY2746: $i,SY2747: $i,SY2748: $i] :
( ( c_BigStep_Oeval @ SV29 @ ( c_Expr_Oexp_OSeq @ SY2744 @ SY2745 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2746 @ ( c_Expr_Oexp_Othrow @ SY2747 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2748 )
| ~ ( c_BigStep_Oeval @ SV29 @ SY2744 @ SY2746 @ ( c_Expr_Oexp_Othrow @ SY2747 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2748 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1733,plain,
! [SV30: $i] :
( ( ! [SY2749: $i,SY2750: $i,SY2751: $i,SY2752: $i,SY2753: $i,SY2754: $i] :
( ( c_Expr_Oexp_OBlock @ SV30 @ SY2749 @ SY2750 @ SY2751 )
!= ( c_Expr_Oexp_OCond @ SY2752 @ SY2753 @ SY2754 @ SY2751 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1734,plain,
! [SV31: $i] :
( ( ! [SY2755: $i,SY2756: $i,SY2757: $i,SY2758: $i,SY2759: $i] :
( ( c_Expr_Oexp_OCast @ SV31 @ SY2755 @ SY2756 )
!= ( c_Expr_Oexp_OBlock @ SY2757 @ SY2758 @ SY2759 @ SY2756 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1735,plain,
! [SV32: $i] :
( ( ! [SY2760: $i,SY2761: $i,SY2762: $i] :
( ( ( c_Map_Omap__add @ SV32 @ SY2760 @ SY2761 @ SY2762 )
= ( c_Map_Omap__add @ SY2760 @ SV32 @ SY2761 @ SY2762 ) )
| ~ ( c_Map_Omap__le @ SV32 @ ( c_Map_Omap__add @ SV32 @ SY2760 @ SY2761 @ SY2762 ) @ SY2761 @ SY2762 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1736,plain,
! [SV33: $i] :
( ( ! [SY2763: $i,SY2764: $i,SY2765: $i] :
( ( ( c_Map_Omap__add @ SV33 @ SY2763 @ SY2764 @ SY2765 )
!= ( c_Map_Omap__add @ SY2763 @ SV33 @ SY2764 @ SY2765 ) )
| ( c_Map_Omap__le @ SV33 @ ( c_Map_Omap__add @ SV33 @ SY2763 @ SY2764 @ SY2765 ) @ SY2764 @ SY2765 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1271]) ).
thf(1737,plain,
! [SV34: $i] :
( ( ! [SY2766: $i,SY2767: $i,SY2768: $i,SY2769: $i,SY2770: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV34 @ SY2766 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2767 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY2768 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2769 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2770 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY2766 @ SY2767 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY2768 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2769 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2770 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1272]) ).
thf(1738,plain,
! [SV35: $i] :
( ( ! [SY2771: $i,SY2772: $i,SY2773: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV35 @ ( c_Expr_Oexp_Othrow @ SY2771 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2772 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY2771 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2772 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY2773 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1273]) ).
thf(1739,plain,
! [SV36: $i] :
( ( ! [SY2774: $i,SY2775: $i,SY2776: $i,SY2777: $i,SY2778: $i] :
( ( c_Expr_Oexp_OCall @ SV36 @ SY2774 @ SY2775 @ SY2776 )
!= ( c_Expr_Oexp_OLAss @ SY2777 @ SY2778 @ SY2776 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1274]) ).
thf(1740,plain,
! [SV37: $i] :
( ( ! [SY2779: $i,SY2780: $i,SY2781: $i,SY2782: $i,SY2783: $i,SY2784: $i] :
( ( c_SmallStep_Oredp @ SV37 @ ( c_Expr_Oexp_OCall @ SY2779 @ SY2780 @ SY2781 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2782 @ ( c_Expr_Oexp_OCall @ SY2783 @ SY2780 @ SY2781 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2784 )
| ~ ( c_SmallStep_Oredp @ SV37 @ SY2779 @ SY2782 @ SY2783 @ SY2784 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1741,plain,
! [SV38: $i] :
( ( ! [SY2785: $i,SY2786: $i,SY2787: $i,SY2788: $i,SY2789: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV38 @ SY2785 @ SY2786 @ SY2787 @ SY2788 )
!= ( c_Expr_Oexp_Othrow @ SY2789 @ SY2788 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1276]) ).
thf(1742,plain,
! [SV39: $i] :
( ( ! [SY2790: $i,SY2791: $i,SY2792: $i,SY2793: $i,SY2794: $i,SY2795: $i] :
( ( c_Expr_Oexp_OCast @ SV39 @ SY2790 @ SY2791 )
!= ( c_Expr_Oexp_OTryCatch @ SY2792 @ SY2793 @ SY2794 @ SY2795 @ SY2791 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1743,plain,
! [SV40: $i] :
( ( ! [SY2796: $i,SY2797: $i,SY2798: $i,SY2799: $i,SY2800: $i] :
( ( c_SmallStep_Oredp @ SV40 @ ( c_Expr_Oexp_OLAss @ SY2796 @ SY2797 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2798 @ ( c_Expr_Oexp_OLAss @ SY2796 @ SY2799 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2800 )
| ~ ( c_SmallStep_Oredp @ SV40 @ SY2797 @ SY2798 @ SY2799 @ SY2800 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1278]) ).
thf(1744,plain,
! [SV41: $i] :
( ( ! [SY2801: $i,SY2802: $i,SY2803: $i,SY2804: $i,SY2805: $i,SY2806: $i,SY2807: $i] :
( ( c_Expr_Oexp_OFAss @ SV41 @ SY2801 @ SY2802 @ SY2803 @ SY2804 )
!= ( c_Expr_Oexp_OCall @ SY2805 @ SY2806 @ SY2807 @ SY2804 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1279]) ).
thf(1745,plain,
! [SV42: $i] :
( ( ! [SY2808: $i,SY2809: $i,SY2810: $i,SY2811: $i] :
( ( c_BigStep_Oeval @ SV42 @ ( c_Expr_Oexp_Othrow @ SY2808 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2809 @ ( c_Expr_Oexp_Othrow @ SY2810 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2811 )
| ~ ( c_BigStep_Oeval @ SV42 @ SY2808 @ SY2809 @ ( c_Expr_Oexp_Othrow @ SY2810 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2811 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1280]) ).
thf(1746,plain,
! [SV43: $i] :
( ( ! [SY2812: $i,SY2813: $i,SY2814: $i,SY2815: $i,SY2816: $i] :
( ( c_Expr_Oexp_OCast @ SV43 @ SY2812 @ SY2813 )
!= ( c_Expr_Oexp_OCond @ SY2814 @ SY2815 @ SY2816 @ SY2813 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1281]) ).
thf(1747,plain,
! [SV44: $i] :
( ( ! [SY2817: $i,SY2818: $i,SY2819: $i,SY2820: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV44 @ SY2817 @ SY2818 )
!= ( c_Expr_Oexp_OLAss @ SY2819 @ SY2820 @ SY2818 ) )
| ( SY2817 = SY2820 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1282]) ).
thf(1748,plain,
! [SV45: $i] :
( ( ! [SY2821: $i,SY2822: $i,SY2823: $i] :
( ! [SY2824: $i] :
( ( c_Expr_Oexp_OLAss @ SV45 @ SY2821 @ SY2822 )
!= ( c_Expr_Oexp_OLAss @ SY2823 @ SY2824 @ SY2822 ) )
| ( SV45 = SY2823 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1283]) ).
thf(1749,plain,
! [SV46: $i] :
( ( ! [SY2825: $i,SY2826: $i,SY2827: $i,SY2828: $i,SY2829: $i] :
( ( c_Expr_Oexp_OLAss @ SV46 @ SY2825 @ SY2826 )
!= ( c_Expr_Oexp_OCond @ SY2827 @ SY2828 @ SY2829 @ SY2826 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1284]) ).
thf(1750,plain,
! [SV47: $i] :
( ( ! [SY2830: $i,SY2831: $i,SY2832: $i,SY2833: $i,SY2834: $i,SY2835: $i] :
( ( c_Expr_Oexp_OFAss @ SV47 @ SY2830 @ SY2831 @ SY2832 @ SY2833 )
!= ( c_Expr_Oexp_OCast @ SY2834 @ SY2835 @ SY2833 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1285]) ).
thf(1751,plain,
! [SV48: $i] :
( ( ! [SY2836: $i,SY2837: $i,SY2838: $i,SY2839: $i,SY2840: $i,SY2841: $i,SY2842: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV48 @ SY2836 @ SY2837 @ SY2838 @ SY2839 )
!= ( c_Expr_Oexp_OBlock @ SY2840 @ SY2841 @ SY2842 @ SY2839 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1286]) ).
thf(1752,plain,
! [SV49: $i] :
( ( ! [SY2843: $i,SY2844: $i,SY2845: $i] :
( ( c_Expr_Oexp_OSeq @ SV49 @ SY2843 @ SY2844 )
!= ( c_Expr_Oexp_Othrow @ SY2845 @ SY2844 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1287]) ).
thf(1753,plain,
! [SV50: $i] :
( ( ! [SY2846: $i,SY2847: $i,SY2848: $i,SY2849: $i] :
( ( c_Expr_Oexp_OBinOp @ SV50 @ SY2846 @ SY2847 @ SY2848 )
!= ( c_Expr_Oexp_Othrow @ SY2849 @ SY2848 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1754,plain,
! [SV51: $i] :
( ( ! [SY2850: $i,SY2851: $i,SY2852: $i,SY2853: $i,SY2854: $i,SY2855: $i] :
( ( c_Expr_Oexp_OFAcc @ SV51 @ SY2850 @ SY2851 @ SY2852 )
!= ( c_Expr_Oexp_OCall @ SY2853 @ SY2854 @ SY2855 @ SY2852 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1289]) ).
thf(1755,plain,
! [SV52: $i] :
( ( ! [SY2856: $i,SY2857: $i,SY2858: $i,SY2859: $i,SY2860: $i,SY2861: $i,SY2862: $i] :
( ( c_BigStep_Oeval @ SV52 @ ( c_Expr_Oexp_OFAss @ SY2856 @ SY2857 @ SY2858 @ SY2859 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2860 @ ( c_Expr_Oexp_Othrow @ SY2861 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2862 )
| ~ ( c_BigStep_Oeval @ SV52 @ SY2856 @ SY2860 @ ( c_Expr_Oexp_Othrow @ SY2861 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2862 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1756,plain,
! [SV53: $i] :
( ( ! [SY2863: $i,SY2864: $i,SY2865: $i,SY2866: $i,SY2867: $i] :
( ( c_Expr_Oexp_OFAcc @ SV53 @ SY2863 @ SY2864 @ SY2865 )
!= ( c_Expr_Oexp_OCast @ SY2866 @ SY2867 @ SY2865 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1757,plain,
! [SV54: $i] :
( ( ! [SY2868: $i,SY2869: $i,SY2870: $i,SY2871: $i,SY2872: $i] :
( ( c_Expr_Oexp_OSeq @ SV54 @ SY2868 @ SY2869 )
!= ( c_Expr_Oexp_OBlock @ SY2870 @ SY2871 @ SY2872 @ SY2869 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1292]) ).
thf(1758,plain,
! [SV55: $i] :
( ( ! [SY2873: $i,SY2874: $i,SY2875: $i] : ( c_SmallStep_Oredp @ SV55 @ ( c_Expr_Oexp_OLAss @ SY2873 @ ( c_Expr_Oexp_Othrow @ SY2874 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2875 @ ( c_Expr_Oexp_Othrow @ SY2874 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2875 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1293]) ).
thf(1759,plain,
! [SV56: $i] :
( ( ! [SY2876: $i,SY2877: $i,SY2878: $i] :
( ( c_Expr_Oexp_Othrow @ SV56 @ SY2876 )
!= ( c_Expr_Oexp_OLAss @ SY2877 @ SY2878 @ SY2876 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1760,plain,
! [SV57: $i] :
( ( ! [SY2879: $i,SY2880: $i,SY2881: $i,SY2882: $i,SY2883: $i,SY2884: $i] :
( ( c_Expr_Oexp_OBinOp @ SV57 @ SY2879 @ SY2880 @ SY2881 )
!= ( c_Expr_Oexp_OBlock @ SY2882 @ SY2883 @ SY2884 @ SY2881 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1295]) ).
thf(1761,plain,
! [SV58: $i] :
( ( ! [SY2885: $i,SY2886: $i,SY2887: $i,SY2888: $i,SY2889: $i] :
( ( c_SmallStep_Oredp @ SV58 @ ( c_Expr_Oexp_OCast @ SY2885 @ SY2886 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2887 @ ( c_Expr_Oexp_OCast @ SY2885 @ SY2888 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2889 )
| ~ ( c_SmallStep_Oredp @ SV58 @ SY2886 @ SY2887 @ SY2888 @ SY2889 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1296]) ).
thf(1762,plain,
! [SV59: $i] :
( ( ! [SY2890: $i,SY2891: $i,SY2892: $i,SY2893: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SY2890 @ SY2891 ) @ SY2892 @ SY2893 @ SY2890 @ SY2891 )
| ! [SY2894: $i,SY2895: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SY2890 @ SY2891 ) @ ( c_List_Olist_OCons @ SY2894 @ SY2892 @ SY2890 ) @ ( c_List_Olist_OCons @ SY2895 @ SY2893 @ SY2891 ) @ SY2890 @ SY2891 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1297]) ).
thf(1763,plain,
! [SV60: $i] :
( ( ! [SY2896: $i,SY2897: $i,SY2898: $i,SY2899: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ SV60 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2896 @ SY2897 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV60 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY2899 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1298]) ).
thf(1764,plain,
! [SV61: $i] :
( ( ! [SY2900: $i,SY2901: $i,SY2902: $i,SY2903: $i,SY2904: $i,SY2905: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV61 @ SY2900 @ SY2901 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2902 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY2903 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2904 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2905 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV61 @ SY2902 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY2903 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2904 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY2905 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1299]) ).
thf(1765,plain,
! [SV62: $i] :
( ( ! [SY2906: $i,SY2907: $i,SY2908: $i,SY2909: $i,SY2910: $i,SY2911: $i] :
( ( c_BigStep_Oeval @ SV62 @ ( c_Expr_Oexp_OFAcc @ SY2906 @ SY2907 @ SY2908 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2909 @ ( c_Expr_Oexp_Othrow @ SY2910 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2911 )
| ~ ( c_BigStep_Oeval @ SV62 @ SY2906 @ SY2909 @ ( c_Expr_Oexp_Othrow @ SY2910 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1300]) ).
thf(1766,plain,
! [SV63: $i] :
( ( ! [SY2912: $i,SY2913: $i] :
( ( c_Expr_Oexp_OVal @ SV63 @ SY2912 )
!= ( c_Expr_Oexp_Othrow @ SY2913 @ SY2912 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1301]) ).
thf(1767,plain,
! [SV64: $i] :
( ( ! [SY2914: $i,SY2915: $i,SY2916: $i,SY2917: $i,SY2918: $i] :
( ( c_Expr_Oexp_OBlock @ SV64 @ SY2914 @ SY2915 @ SY2916 )
!= ( c_Expr_Oexp_OLAss @ SY2917 @ SY2918 @ SY2916 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1302]) ).
thf(1768,plain,
! [SV65: $i] :
( ( ! [SY2919: $i,SY2920: $i,SY2921: $i,SY2922: $i] :
( ( c_Expr_Oexp_OVal @ SV65 @ SY2919 )
!= ( c_Expr_Oexp_OCall @ SY2920 @ SY2921 @ SY2922 @ SY2919 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1303]) ).
thf(1769,plain,
! [SV66: $i] :
( ( ! [SY2923: $i,SY2924: $i,SY2925: $i,SY2926: $i,SY2927: $i,SY2928: $i,SY2929: $i] :
( ( c_Expr_Oexp_OCall @ SV66 @ SY2923 @ SY2924 @ SY2925 )
!= ( c_Expr_Oexp_OTryCatch @ SY2926 @ SY2927 @ SY2928 @ SY2929 @ SY2925 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1304]) ).
thf(1770,plain,
! [SV67: $i] :
( ( ! [SY2930: $i,SY2931: $i,SY2932: $i,SY2933: $i] :
( ( c_Expr_Oexp_OCast @ SV67 @ SY2930 @ SY2931 )
!= ( c_Expr_Oexp_OSeq @ SY2932 @ SY2933 @ SY2931 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1305]) ).
thf(1771,plain,
! [SV68: $i] :
( ( ! [SY2934: $i,SY2935: $i,SY2936: $i,SY2937: $i] :
( ( c_Expr_Oexp_OVal @ SV68 @ SY2934 )
!= ( c_Expr_Oexp_OBlock @ SY2935 @ SY2936 @ SY2937 @ SY2934 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1772,plain,
! [SV69: $i] :
( ( ! [SY2938: $i,SY2939: $i,SY2940: $i] :
( ( c_Expr_Oexp_OVal @ SV69 @ SY2938 )
!= ( c_Expr_Oexp_OCast @ SY2939 @ SY2940 @ SY2938 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1307]) ).
thf(1773,plain,
! [SV70: $i] :
( ( ! [SY2941: $i,SY2942: $i,SY2943: $i] :
( ( c_Expr_Oexp_Othrow @ SV70 @ SY2941 )
!= ( c_Expr_Oexp_OWhile @ SY2942 @ SY2943 @ SY2941 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1308]) ).
thf(1774,plain,
! [SV71: $i] :
( ( ! [SY2944: $i,SY2945: $i,SY2946: $i,SY2947: $i,SY2948: $i,SY2949: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV71 @ SY2944 @ SY2945 @ SY2946 )
!= ( c_Expr_Oexp_OBlock @ SY2947 @ SY2948 @ SY2949 @ SY2946 ) )
| ( SY2945 = SY2949 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1309]) ).
thf(1775,plain,
! [SV72: $i] :
( ( ! [SY2950: $i,SY2951: $i,SY2952: $i,SY2953: $i,SY2954: $i] :
( ! [SY2955: $i] :
( ( c_Expr_Oexp_OBlock @ SV72 @ SY2950 @ SY2951 @ SY2952 )
!= ( c_Expr_Oexp_OBlock @ SY2953 @ SY2954 @ SY2955 @ SY2952 ) )
| ( SY2950 = SY2954 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1310]) ).
thf(1776,plain,
! [SV73: $i] :
( ( ! [SY2956: $i,SY2957: $i,SY2958: $i,SY2959: $i] :
( ! [SY2960: $i,SY2961: $i] :
( ( c_Expr_Oexp_OBlock @ SV73 @ SY2956 @ SY2957 @ SY2958 )
!= ( c_Expr_Oexp_OBlock @ SY2959 @ SY2960 @ SY2961 @ SY2958 ) )
| ( SV73 = SY2959 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1311]) ).
thf(1777,plain,
! [SV74: $i] :
( ( ! [SY2962: $i,SY2963: $i,SY2964: $i,SY2965: $i] :
( ( c_Expr_Oexp_OCast @ SV74 @ SY2962 @ SY2963 )
!= ( c_Expr_Oexp_OLAss @ SY2964 @ SY2965 @ SY2963 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1312]) ).
thf(1778,plain,
! [SV75: $i] :
( ( ! [SY2966: $i,SY2967: $i,SY2968: $i,SY2969: $i,SY2970: $i,SY2971: $i,SY2972: $i] :
( ( c_Expr_Oexp_OBlock @ SV75 @ SY2966 @ SY2967 @ SY2968 )
!= ( c_Expr_Oexp_OTryCatch @ SY2969 @ SY2970 @ SY2971 @ SY2972 @ SY2968 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1313]) ).
thf(1779,plain,
! [SV76: $i] :
( ( ! [SY2973: $i,SY2974: $i,SY2975: $i] :
( ( SV76
= ( c_Type_Oty_OClass @ SY2973 ) )
| ! [SY2976: $i,SY2977: $i] :
~ ( c_WellTypeRT_OWTrt @ SY2974 @ SY2975 @ SY2976 @ ( c_Expr_Oexp_OCast @ SY2973 @ SY2977 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1314]) ).
thf(1780,plain,
! [SV77: $i] :
( ( ! [SY2978: $i,SY2979: $i,SY2980: $i,SY2981: $i,SY2982: $i] :
( ( c_Expr_Oexp_OCond @ SV77 @ SY2978 @ SY2979 @ SY2980 )
!= ( c_Expr_Oexp_OLAss @ SY2981 @ SY2982 @ SY2980 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1781,plain,
! [SV78: $i] :
( ( ! [SY2983: $i,SY2984: $i,SY2985: $i,SY2986: $i,SY2987: $i,SY2988: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV78 @ SY2983 @ SY2984 @ SY2985 @ SY2986 )
!= ( c_Expr_Oexp_OLAss @ SY2987 @ SY2988 @ SY2986 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1316]) ).
thf(1782,plain,
! [SV79: $i] :
( ( ! [SY2989: $i,SY2990: $i,SY2991: $i,SY2992: $i,SY2993: $i] :
( ( c_Expr_Oexp_OWhile @ SV79 @ SY2989 @ SY2990 )
!= ( c_Expr_Oexp_OCall @ SY2991 @ SY2992 @ SY2993 @ SY2990 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1317]) ).
thf(1783,plain,
! [SV80: $i] :
( ( ! [SY2994: $i,SY2995: $i,SY2996: $i,SY2997: $i,SY2998: $i] : ( c_SmallStep_Oredp @ SV80 @ ( c_Expr_Oexp_OBlock @ SY2994 @ SY2995 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SY2994 @ ( c_Expr_Oexp_OVal @ SY2996 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ SY2997 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2998 @ ( c_Expr_Oexp_OVal @ SY2997 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY2998 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1318]) ).
thf(1784,plain,
! [SV81: $i] :
( ( ! [SY2999: $i,SY3000: $i,SY3001: $i] :
( ( c_Decl_Ois__class @ SV81 @ SY2999 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY3002: $i,SY3003: $i] :
~ ( c_WellTypeRT_OWTrt @ SV81 @ SY3000 @ SY3001 @ ( c_Expr_Oexp_OCast @ SY2999 @ SY3002 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3003 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1319]) ).
thf(1785,plain,
! [SV82: $i] :
( ( ! [SY3004: $i,SY3005: $i,SY3006: $i,SY3007: $i,SY3008: $i] :
( ( c_Expr_Oexp_OSeq @ SV82 @ SY3004 @ SY3005 )
!= ( c_Expr_Oexp_OCall @ SY3006 @ SY3007 @ SY3008 @ SY3005 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1786,plain,
! [SV83: $i] :
( ( ! [SY3009: $i,SY3010: $i,SY3011: $i,SY3012: $i,SY3013: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV83 @ SY3009 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV83 @ ( c_Expr_Oexp_OVal @ SY3010 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY3011 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3012 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY3011 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3012 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3013 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1321]) ).
thf(1787,plain,
! [SV84: $i] :
( ( ! [SY3014: $i,SY3015: $i,SY3016: $i,SY3017: $i,SY3018: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV84 @ SY3014 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3015 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3016 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3017 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3018 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3019: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3014 @ SY3019 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3016 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3017 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3018 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV84 @ SY3015 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3019 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3018 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1322]) ).
thf(1788,plain,
! [SV85: $i] :
( ( ! [SY3020: $i,SY3021: $i,SY3022: $i,SY3023: $i] :
( ( c_Expr_Oexp_OCond @ SV85 @ SY3020 @ SY3021 @ SY3022 )
!= ( c_Expr_Oexp_Othrow @ SY3023 @ SY3022 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1789,plain,
! [SV86: $i] :
( ( ! [SY3024: $i,SY3025: $i,SY3026: $i,SY3027: $i,SY3028: $i] :
( ( c_Expr_Oexp_OLAss @ SV86 @ SY3024 @ SY3025 )
!= ( c_Expr_Oexp_OBlock @ SY3026 @ SY3027 @ SY3028 @ SY3025 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1790,plain,
! [SV87: $i] :
( ( ! [SY3029: $i,SY3030: $i,SY3031: $i,SY3032: $i,SY3033: $i] :
( ( c_Expr_Oexp_OCast @ SV87 @ SY3029 @ SY3030 )
!= ( c_Expr_Oexp_OBinOp @ SY3031 @ SY3032 @ SY3033 @ SY3030 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1325]) ).
thf(1791,plain,
! [SV88: $i] :
( ( ! [SY3034: $i,SY3035: $i] :
( ( c_Decl_Ois__class @ SV88 @ SY3034 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY3036: $i,SY3037: $i] :
~ ( c_WellType_OWT @ SV88 @ SY3035 @ ( c_Expr_Oexp_OCast @ SY3034 @ SY3036 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3037 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1326]) ).
thf(1792,plain,
! [SV89: $i] :
( ( ! [SY3038: $i,SY3039: $i,SY3040: $i,SY3041: $i,SY3042: $i,SY3043: $i] :
( ( c_Expr_Oexp_OBlock @ SV89 @ SY3038 @ SY3039 @ SY3040 )
!= ( c_Expr_Oexp_OBinOp @ SY3041 @ SY3042 @ SY3043 @ SY3040 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1327]) ).
thf(1793,plain,
! [SV90: $i] :
( ( ! [SY3044: $i,SY3045: $i,SY3046: $i,SY3047: $i] :
( ( c_BigStep_Oeval @ SV90 @ ( c_Expr_Oexp_OWhile @ SY3044 @ SY3045 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3046 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3047 )
| ~ ( c_BigStep_Oeval @ SV90 @ SY3044 @ SY3046 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3047 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1794,plain,
! [SV91: $i] :
( ( ! [SY3048: $i,SY3049: $i,SY3050: $i] :
( ( c_Expr_Oexp_OVal @ SV91 @ SY3048 )
!= ( c_Expr_Oexp_OLAss @ SY3049 @ SY3050 @ SY3048 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1329]) ).
thf(1795,plain,
! [SV92: $i] :
( ( ! [SY3051: $i,SY3052: $i] :
( ( SV92
= ( c_Type_Oty_OClass @ SY3051 ) )
| ! [SY3053: $i,SY3054: $i] :
~ ( c_WellType_OWT @ SY3052 @ SY3053 @ ( c_Expr_Oexp_OCast @ SY3051 @ SY3054 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1330]) ).
thf(1796,plain,
! [SV93: $i] :
( ( ! [SY3055: $i,SY3056: $i] : ( c_SmallStep_Oredp @ SV93 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_Othrow @ SY3055 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3056 @ ( c_Expr_Oexp_Othrow @ SY3055 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3056 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1331]) ).
thf(1797,plain,
! [SV94: $i] :
( ( ! [SY3057: $i,SY3058: $i,SY3059: $i,SY3060: $i,SY3061: $i,SY3062: $i] :
( ( c_BigStep_Oeval @ SV94 @ ( c_Expr_Oexp_OCall @ SY3057 @ SY3058 @ SY3059 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3060 @ ( c_Expr_Oexp_Othrow @ SY3061 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3062 )
| ~ ( c_BigStep_Oeval @ SV94 @ SY3057 @ SY3060 @ ( c_Expr_Oexp_Othrow @ SY3061 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3062 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1332]) ).
thf(1798,plain,
! [SV95: $i] :
( ( ! [SY3063: $i,SY3064: $i,SY3065: $i] :
( ( c_Expr_Oexp_OLAss @ SV95 @ SY3063 @ SY3064 )
!= ( c_Expr_Oexp_Othrow @ SY3065 @ SY3064 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1799,plain,
! [SV96: $i] :
( ( ! [SY3066: $i,SY3067: $i,SY3068: $i,SY3069: $i,SY3070: $i] :
( ( c_Expr_Oexp_OBinOp @ SV96 @ SY3066 @ SY3067 @ SY3068 )
!= ( c_Expr_Oexp_OCast @ SY3069 @ SY3070 @ SY3068 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1334]) ).
thf(1800,plain,
! [SV97: $i] :
( ( ! [SY3071: $i,SY3072: $i,SY3073: $i] :
( ( c_Map_Omap__le @ SV97 @ SY3071 @ SY3072 @ SY3073 )
| ! [SY3074: $i] :
~ ( c_Map_Omap__le @ ( c_Map_Omap__add @ SY3074 @ SV97 @ SY3072 @ SY3073 ) @ SY3071 @ SY3072 @ SY3073 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1335]) ).
thf(1801,plain,
! [SV98: $i] :
( ( ! [SY3075: $i,SY3076: $i,SY3077: $i,SY3078: $i] :
( ( c_Expr_Oexp_OLAss @ SV98 @ SY3075 @ SY3076 )
!= ( c_Expr_Oexp_OSeq @ SY3077 @ SY3078 @ SY3076 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1802,plain,
! [SV99: $i] :
( ( ! [SY3079: $i,SY3080: $i,SY3081: $i,SY3082: $i] : ( c_SmallStep_Oredp @ SV99 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ SY3079 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3080 @ SY3081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3082 @ ( c_Expr_Oexp_Othrow @ SY3079 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3082 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1337]) ).
thf(1803,plain,
! [SV100: $i] :
( ( ! [SY3083: $i,SY3084: $i,SY3085: $i,SY3086: $i,SY3087: $i,SY3088: $i] :
( ( c_Expr_Oexp_OBinOp @ SV100 @ SY3083 @ SY3084 @ SY3085 )
!= ( c_Expr_Oexp_OCall @ SY3086 @ SY3087 @ SY3088 @ SY3085 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1338]) ).
thf(1804,plain,
! [SV101: $i] :
( ( ! [SY3089: $i,SY3090: $i,SY3091: $i,SY3092: $i,SY3093: $i] :
( ( c_Expr_Oexp_OLAss @ SV101 @ SY3089 @ SY3090 )
!= ( c_Expr_Oexp_OBinOp @ SY3091 @ SY3092 @ SY3093 @ SY3090 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1339]) ).
thf(1805,plain,
! [SV102: $i] :
( ( ! [SY3094: $i,SY3095: $i,SY3096: $i,SY3097: $i,SY3098: $i,SY3099: $i] :
( ( c_Expr_Oexp_OCall @ SV102 @ SY3094 @ SY3095 @ SY3096 )
!= ( c_Expr_Oexp_OCond @ SY3097 @ SY3098 @ SY3099 @ SY3096 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1340]) ).
thf(1806,plain,
! [SV103: $i] :
( ( ! [SY3100: $i,SY3101: $i,SY3102: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV103 @ ( c_Expr_Oexp_Othrow @ SY3100 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3101 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3100 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3101 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3102 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1341]) ).
thf(1807,plain,
! [SV104: $i] :
( ( ! [SY3103: $i,SY3104: $i,SY3105: $i,SY3106: $i,SY3107: $i,SY3108: $i] :
( ( c_Expr_Oexp_OCall @ SV104 @ SY3103 @ SY3104 @ SY3105 )
!= ( c_Expr_Oexp_OBlock @ SY3106 @ SY3107 @ SY3108 @ SY3105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1342]) ).
thf(1808,plain,
! [SV105: $i] :
( ( ! [SY3109: $i,SY3110: $i,SY3111: $i,SY3112: $i] : ( c_SmallStep_Oredp @ SV105 @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ SY3109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3110 @ SY3111 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3112 @ ( c_Expr_Oexp_Othrow @ SY3109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1809,plain,
! [SV106: $i] :
( ( ! [SY3113: $i,SY3114: $i,SY3115: $i,SY3116: $i,SY3117: $i,SY3118: $i] :
( ( c_BigStep_Oeval @ SV106 @ ( c_Expr_Oexp_OCond @ SY3113 @ SY3114 @ SY3115 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3116 @ SY3117 @ SY3118 )
| ! [SY3119: $i] :
( ~ ( c_BigStep_Oeval @ SV106 @ SY3115 @ SY3119 @ SY3117 @ SY3118 )
| ~ ( c_BigStep_Oeval @ SV106 @ SY3113 @ SY3116 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3119 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1810,plain,
! [SV107: $i] :
( ( ! [SY3120: $i,SY3121: $i,SY3122: $i,SY3123: $i,SY3124: $i] :
( ( c_Expr_Oexp_OCall @ SV107 @ SY3120 @ SY3121 @ SY3122 )
!= ( c_Expr_Oexp_OSeq @ SY3123 @ SY3124 @ SY3122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1345]) ).
thf(1811,plain,
! [SV108: $i] :
( ( ! [SY3125: $i,SY3126: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV108 @ SY3125 )
!= ( c_Expr_Oexp_Othrow @ SY3126 @ SY3125 ) )
| ( SV108 = SY3126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1346]) ).
thf(1812,plain,
! [SV109: $i] :
( ( ! [SY3127: $i,SY3128: $i,SY3129: $i,SY3130: $i,SY3131: $i] :
( ( c_Expr_Oexp_OFAcc @ SV109 @ SY3127 @ SY3128 @ SY3129 )
!= ( c_Expr_Oexp_OLAss @ SY3130 @ SY3131 @ SY3129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1813,plain,
! [SV110: $i] :
( ( ! [SY3132: $i,SY3133: $i,SY3134: $i,SY3135: $i,SY3136: $i,SY3137: $i] :
( ( c_Expr_Oexp_OLAss @ SV110 @ SY3132 @ SY3133 )
!= ( c_Expr_Oexp_OFAss @ SY3134 @ SY3135 @ SY3136 @ SY3137 @ SY3133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1814,plain,
! [SV111: $i] :
( ( ! [SY3138: $i,SY3139: $i,SY3140: $i,SY3141: $i,SY3142: $i] :
( ( c_BigStep_Oeval @ SV111 @ ( c_Expr_Oexp_OLAss @ SY3138 @ SY3139 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3140 @ ( c_Expr_Oexp_Othrow @ SY3141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3142 )
| ~ ( c_BigStep_Oeval @ SV111 @ SY3139 @ SY3140 @ ( c_Expr_Oexp_Othrow @ SY3141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1349]) ).
thf(1815,plain,
! [SV112: $i] :
( ( ! [SY3143: $i,SY3144: $i,SY3145: $i,SY3146: $i] :
( ( c_Expr_Oexp_OCall @ SV112 @ SY3143 @ SY3144 @ SY3145 )
!= ( c_Expr_Oexp_Othrow @ SY3146 @ SY3145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1816,plain,
! [SV113: $i] :
( ( ! [SY3147: $i,SY3148: $i,SY3149: $i,SY3150: $i,SY3151: $i,SY3152: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV113 @ SY3147 @ SY3148 @ SY3149 @ SY3150 )
!= ( c_Expr_Oexp_OCast @ SY3151 @ SY3152 @ SY3150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1817,plain,
! [SV114: $i] :
( ( ! [SY3153: $i,SY3154: $i,SY3155: $i,SY3156: $i,SY3157: $i,SY3158: $i] :
( ( c_Expr_Oexp_OCast @ SV114 @ SY3153 @ SY3154 )
!= ( c_Expr_Oexp_OFAss @ SY3155 @ SY3156 @ SY3157 @ SY3158 @ SY3154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1352]) ).
thf(1818,plain,
! [SV115: $i] :
( ( ! [SY3159: $i,SY3160: $i,SY3161: $i,SY3162: $i,SY3163: $i] :
( ( c_Expr_Oexp_OCond @ SV115 @ SY3159 @ SY3160 @ SY3161 )
!= ( c_Expr_Oexp_OCast @ SY3162 @ SY3163 @ SY3161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1353]) ).
thf(1819,plain,
! [SV116: $i] :
( ( ! [SY3164: $i,SY3165: $i,SY3166: $i,SY3167: $i] :
( ( c_Expr_Oexp_OCast @ SV116 @ SY3164 @ SY3165 )
!= ( c_Expr_Oexp_OWhile @ SY3166 @ SY3167 @ SY3165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1354]) ).
thf(1820,plain,
! [SV117: $i] :
( ( ! [SY3168: $i,SY3169: $i,SY3170: $i,SY3171: $i] :
( ( c_Expr_Oexp_OLAss @ SV117 @ SY3168 @ SY3169 )
!= ( c_Expr_Oexp_OCast @ SY3170 @ SY3171 @ SY3169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(1821,plain,
! [SV118: $i] :
( ( ! [SY3172: $i,SY3173: $i,SY3174: $i,SY3175: $i,SY3176: $i] :
( ( c_Expr_Oexp_OBlock @ SV118 @ SY3172 @ SY3173 @ SY3174 )
!= ( c_Expr_Oexp_OWhile @ SY3175 @ SY3176 @ SY3174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1822,plain,
! [SV119: $i] :
( ( ! [SY3177: $i,SY3178: $i,SY3179: $i,SY3180: $i,SY3181: $i,SY3182: $i,SY3183: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV119 @ SY3177 @ SY3178 @ SY3179 @ SY3180 )
!= ( c_Expr_Oexp_OCall @ SY3181 @ SY3182 @ SY3183 @ SY3180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1357]) ).
thf(1823,plain,
! [SV120: $i] :
( ( ! [SY3184: $i,SY3185: $i,SY3186: $i,SY3187: $i,SY3188: $i,SY3189: $i] :
( ( c_Expr_Oexp_OCond @ SV120 @ SY3184 @ SY3185 @ SY3186 )
!= ( c_Expr_Oexp_OCall @ SY3187 @ SY3188 @ SY3189 @ SY3186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1824,plain,
! [SV121: $i] :
( ( ! [SY3190: $i,SY3191: $i,SY3192: $i] :
( ( c_Expr_Oexp_Othrow @ SV121 @ SY3190 )
!= ( c_Expr_Oexp_OSeq @ SY3191 @ SY3192 @ SY3190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1359]) ).
thf(1825,plain,
! [SV122: $i] :
( ( ! [SY3193: $i,SY3194: $i,SY3195: $i,SY3196: $i,SY3197: $i,SY3198: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV122 @ SY3193 @ SY3194 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3195 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3196 @ SY3197 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3198 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3199: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3194 @ SY3199 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3196 @ SY3197 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3198 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV122 @ SY3195 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3199 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3198 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1360]) ).
thf(1826,plain,
! [SV123: $i] :
( ( ! [SY3200: $i,SY3201: $i,SY3202: $i,SY3203: $i,SY3204: $i,SY3205: $i] :
( ( c_Expr_Oexp_OFAss @ SV123 @ SY3200 @ SY3201 @ SY3202 @ SY3203 )
!= ( c_Expr_Oexp_OLAss @ SY3204 @ SY3205 @ SY3203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1361]) ).
thf(1827,plain,
! [SV124: $i] :
( ( ! [SY3206: $i,SY3207: $i,SY3208: $i,SY3209: $i,SY3210: $i] :
( ( c_Expr_Oexp_OLAss @ SV124 @ SY3206 @ SY3207 )
!= ( c_Expr_Oexp_OCall @ SY3208 @ SY3209 @ SY3210 @ SY3207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1828,plain,
! [SV125: $i] :
( ( ! [SY3211: $i,SY3212: $i,SY3213: $i,SY3214: $i,SY3215: $i] :
( ( c_Expr_Oexp_OLAss @ SV125 @ SY3211 @ SY3212 )
!= ( c_Expr_Oexp_OFAcc @ SY3213 @ SY3214 @ SY3215 @ SY3212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1363]) ).
thf(1829,plain,
! [SV126: $i] :
( ( ! [SY3216: $i,SY3217: $i,SY3218: $i,SY3219: $i,SY3220: $i,SY3221: $i] :
( ( c_Expr_Oexp_OCall @ SV126 @ SY3216 @ SY3217 @ SY3218 )
!= ( c_Expr_Oexp_OBinOp @ SY3219 @ SY3220 @ SY3221 @ SY3218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1830,plain,
! [SV127: $i] :
( ( ! [SY3222: $i,SY3223: $i,SY3224: $i,SY3225: $i,SY3226: $i,SY3227: $i] :
( ( c_BigStep_Oeval @ SV127 @ ( c_Expr_Oexp_OCond @ SY3222 @ SY3223 @ SY3224 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3225 @ ( c_Expr_Oexp_Othrow @ SY3226 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3227 )
| ~ ( c_BigStep_Oeval @ SV127 @ SY3222 @ SY3225 @ ( c_Expr_Oexp_Othrow @ SY3226 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1365]) ).
thf(1831,plain,
! [SV128: $i] :
( ( ! [SY3228: $i,SY3229: $i,SY3230: $i] : ( c_SmallStep_Oredp @ SV128 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ SY3228 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3229 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3230 @ ( c_Expr_Oexp_Othrow @ SY3228 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3230 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1832,plain,
! [SV129: $i] :
( ( ! [SY3231: $i,SY3232: $i,SY3233: $i,SY3234: $i,SY3235: $i] :
( ( c_Expr_Oexp_OCast @ SV129 @ SY3231 @ SY3232 )
!= ( c_Expr_Oexp_OCall @ SY3233 @ SY3234 @ SY3235 @ SY3232 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1367]) ).
thf(1833,plain,
! [SV130: $i] :
( ( ! [SY3236: $i,SY3237: $i,SY3238: $i,SY3239: $i,SY3240: $i] :
( ( c_Expr_Oexp_OCast @ SV130 @ SY3236 @ SY3237 )
!= ( c_Expr_Oexp_OFAcc @ SY3238 @ SY3239 @ SY3240 @ SY3237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1834,plain,
! [SV131: $i] :
( ( ! [SY3241: $i,SY3242: $i,SY3243: $i,SY3244: $i,SY3245: $i] :
( ( c_BigStep_Oeval @ SV131 @ ( c_Expr_Oexp_OWhile @ SY3241 @ SY3242 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3243 @ ( c_Expr_Oexp_Othrow @ SY3244 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3245 )
| ~ ( c_BigStep_Oeval @ SV131 @ SY3241 @ SY3243 @ ( c_Expr_Oexp_Othrow @ SY3244 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1835,plain,
! [SV132: $i] :
( ( ! [SY3246: $i,SY3247: $i,SY3248: $i,SY3249: $i,SY3250: $i,SY3251: $i,SY3252: $i] :
( ( c_Expr_Oexp_OBlock @ SV132 @ SY3246 @ SY3247 @ SY3248 )
!= ( c_Expr_Oexp_OFAss @ SY3249 @ SY3250 @ SY3251 @ SY3252 @ SY3248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(1836,plain,
! [SV133: $i] :
( ( ! [SY3253: $i,SY3254: $i,SY3255: $i,SY3256: $i,SY3257: $i] :
( ( c_Expr_Oexp_Othrow @ SV133 @ SY3253 )
!= ( c_Expr_Oexp_OTryCatch @ SY3254 @ SY3255 @ SY3256 @ SY3257 @ SY3253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1371]) ).
thf(1837,plain,
! [SV134: $i] :
( ( ! [SY3258: $i,SY3259: $i,SY3260: $i,SY3261: $i,SY3262: $i] :
( ( c_BigStep_Oeval @ SV134 @ ( c_Expr_Oexp_OCast @ SY3258 @ SY3259 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3260 @ ( c_Expr_Oexp_Othrow @ SY3261 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3262 )
| ~ ( c_BigStep_Oeval @ SV134 @ SY3259 @ SY3260 @ ( c_Expr_Oexp_Othrow @ SY3261 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1838,plain,
! [SV135: $i] :
( ( ! [SY3263: $i,SY3264: $i,SY3265: $i,SY3266: $i] :
( ( c_Expr_Oexp_OBlock @ SV135 @ SY3263 @ SY3264 @ SY3265 )
!= ( c_Expr_Oexp_OVal @ SY3266 @ SY3265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1839,plain,
! [SV136: $i] :
( ( ! [SY3267: $i,SY3268: $i,SY3269: $i,SY3270: $i] : ( c_SmallStep_Oredp @ SV136 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ SY3267 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3268 @ SY3269 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3270 @ ( c_Expr_Oexp_Othrow @ SY3267 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3270 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1840,plain,
! [SV137: $i] :
( ( ! [SY3271: $i,SY3272: $i,SY3273: $i,SY3274: $i] :
( ! [SY3275: $i,SY3276: $i] :
( ( c_Expr_Oexp_OCall @ SV137 @ SY3271 @ SY3272 @ SY3273 )
!= ( c_Expr_Oexp_OCall @ SY3274 @ SY3275 @ SY3276 @ SY3273 ) )
| ( SV137 = SY3274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1375]) ).
thf(1841,plain,
! [SV138: $i] :
( ( ! [SY3277: $i,SY3278: $i,SY3279: $i,SY3280: $i,SY3281: $i] :
( ! [SY3282: $i] :
( ( c_Expr_Oexp_OCall @ SV138 @ SY3277 @ SY3278 @ SY3279 )
!= ( c_Expr_Oexp_OCall @ SY3280 @ SY3281 @ SY3282 @ SY3279 ) )
| ( SY3277 = SY3281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1376]) ).
thf(1842,plain,
! [SV139: $i] :
( ( ! [SY3283: $i,SY3284: $i,SY3285: $i,SY3286: $i,SY3287: $i,SY3288: $i] :
( ( ( c_Expr_Oexp_OCall @ SV139 @ SY3283 @ SY3284 @ SY3285 )
!= ( c_Expr_Oexp_OCall @ SY3286 @ SY3287 @ SY3288 @ SY3285 ) )
| ( SY3284 = SY3288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1377]) ).
thf(1843,plain,
! [SV140: $i] :
( ( ! [SY3289: $i,SY3290: $i,SY3291: $i,SY3292: $i,SY3293: $i] :
( ( c_Expr_Oexp_OBlock @ SV140 @ SY3289 @ SY3290 @ SY3291 )
!= ( c_Expr_Oexp_OCast @ SY3292 @ SY3293 @ SY3291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1378]) ).
thf(1844,plain,
! [SV141: $i] :
( ( ! [SY3294: $i,SY3295: $i,SY3296: $i] : ( c_SmallStep_Oredp @ SV141 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3294 @ SY3295 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3296 @ SY3295 @ SY3296 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1379]) ).
thf(1845,plain,
! [SV142: $i] :
( ( ! [SY3297: $i,SY3298: $i,SY3299: $i,SY3300: $i] :
( ( c_Expr_Oexp_OLAss @ SV142 @ SY3297 @ SY3298 )
!= ( c_Expr_Oexp_OWhile @ SY3299 @ SY3300 @ SY3298 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1846,plain,
! [SV143: $i] :
( ( ! [SY3301: $i,SY3302: $i,SY3303: $i,SY3304: $i,SY3305: $i] :
( ( c_Expr_Oexp_Othrow @ SV143 @ SY3301 )
!= ( c_Expr_Oexp_OFAss @ SY3302 @ SY3303 @ SY3304 @ SY3305 @ SY3301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1381]) ).
thf(1847,plain,
! [SV144: $i] :
( ( ! [SY3306: $i,SY3307: $i,SY3308: $i,SY3309: $i,SY3310: $i,SY3311: $i] :
( ( c_Expr_Oexp_OBlock @ SV144 @ SY3306 @ SY3307 @ SY3308 )
!= ( c_Expr_Oexp_OCall @ SY3309 @ SY3310 @ SY3311 @ SY3308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1382]) ).
thf(1848,plain,
! [SV145: $i] :
( ( ! [SY3312: $i,SY3313: $i,SY3314: $i,SY3315: $i,SY3316: $i,SY3317: $i] :
( ( c_Expr_Oexp_OBlock @ SV145 @ SY3312 @ SY3313 @ SY3314 )
!= ( c_Expr_Oexp_OFAcc @ SY3315 @ SY3316 @ SY3317 @ SY3314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1383]) ).
thf(1849,plain,
! [SV146: $i] :
( ( ! [SY3318: $i,SY3319: $i,SY3320: $i,SY3321: $i] :
( ( c_Expr_Oexp_Othrow @ SV146 @ SY3318 )
!= ( c_Expr_Oexp_OBlock @ SY3319 @ SY3320 @ SY3321 @ SY3318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1384]) ).
thf(1850,plain,
! [SV147: $i] :
( ( ! [SY3322: $i,SY3323: $i,SY3324: $i,SY3325: $i] : ( c_SmallStep_Oredp @ SV147 @ ( c_Expr_Oexp_OBlock @ SY3322 @ SY3323 @ ( c_Expr_Oexp_OVal @ SY3324 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3325 @ ( c_Expr_Oexp_OVal @ SY3324 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3325 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1385]) ).
thf(1851,plain,
! [SV148: $i] :
( ( ! [SY3326: $i,SY3327: $i,SY3328: $i] :
( ( c_Expr_Oexp_Othrow @ SV148 @ SY3326 )
!= ( c_Expr_Oexp_OCast @ SY3327 @ SY3328 @ SY3326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1386]) ).
thf(1852,plain,
! [SV149: $i] :
( ( ! [SY3329: $i,SY3330: $i,SY3331: $i,SY3332: $i] :
( ( c_Conform_Olconf @ SV149 @ SY3329 @ SY3330 @ SY3331 @ SY3332 )
| ! [SY3333: $i] :
( ~ ( c_Objects_Ohext @ SY3333 @ SY3329 )
| ~ ( c_Conform_Olconf @ SV149 @ SY3333 @ SY3330 @ SY3331 @ SY3332 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1387]) ).
thf(1853,plain,
! [SV150: $i] :
( ( ! [SY3334: $i,SY3335: $i,SY3336: $i,SY3337: $i] :
( ( c_SmallStep_Oredp @ SV150 @ ( c_Expr_Oexp_Othrow @ SY3334 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3335 @ ( c_Expr_Oexp_Othrow @ SY3336 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3337 )
| ~ ( c_SmallStep_Oredp @ SV150 @ SY3334 @ SY3335 @ SY3336 @ SY3337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1854,plain,
! [SV151: $i] :
( ( ! [SY3338: $i,SY3339: $i,SY3340: $i] :
( ( c_Expr_Oexp_OLAss @ SV151 @ SY3338 @ SY3339 )
!= ( c_Expr_Oexp_OVal @ SY3340 @ SY3339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1389]) ).
thf(1855,plain,
! [SV152: $i] :
( ( ! [SY3341: $i,SY3342: $i,SY3343: $i,SY3344: $i] :
( ( c_Expr_Oexp_Othrow @ SV152 @ SY3341 )
!= ( c_Expr_Oexp_OCall @ SY3342 @ SY3343 @ SY3344 @ SY3341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1856,plain,
! [SV153: $i] :
( ( ! [SY3345: $i,SY3346: $i,SY3347: $i,SY3348: $i] :
( ( c_Expr_Oexp_Othrow @ SV153 @ SY3345 )
!= ( c_Expr_Oexp_OFAcc @ SY3346 @ SY3347 @ SY3348 @ SY3345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(1857,plain,
! [SV154: $i] :
( ( ! [SY3349: $i,SY3350: $i,SY3351: $i,SY3352: $i,SY3353: $i,SY3354: $i,SY3355: $i] :
( ( c_Expr_Oexp_OFAss @ SV154 @ SY3349 @ SY3350 @ SY3351 @ SY3352 )
!= ( c_Expr_Oexp_OBlock @ SY3353 @ SY3354 @ SY3355 @ SY3352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1392]) ).
thf(1858,plain,
! [SV155: $i] :
( ( ! [SY3356: $i,SY3357: $i,SY3358: $i,SY3359: $i,SY3360: $i] :
( ( c_Expr_Oexp_OCall @ SV155 @ SY3356 @ SY3357 @ SY3358 )
!= ( c_Expr_Oexp_OWhile @ SY3359 @ SY3360 @ SY3358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1393]) ).
thf(1859,plain,
! [SV156: $i] :
( ( ! [SY3361: $i,SY3362: $i,SY3363: $i,SY3364: $i] :
( ( c_Expr_Oexp_OCall @ SV156 @ SY3361 @ SY3362 @ SY3363 )
!= ( c_Expr_Oexp_OVal @ SY3364 @ SY3363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1394]) ).
thf(1860,plain,
! [SV157: $i] :
( ( ! [SY3365: $i,SY3366: $i,SY3367: $i,SY3368: $i,SY3369: $i,SY3370: $i] :
( ( c_BigStep_Oeval @ SV157 @ ( c_Expr_Oexp_OBinOp @ SY3365 @ SY3366 @ SY3367 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3368 @ ( c_Expr_Oexp_Othrow @ SY3369 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3370 )
| ~ ( c_BigStep_Oeval @ SV157 @ SY3365 @ SY3368 @ ( c_Expr_Oexp_Othrow @ SY3369 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1395]) ).
thf(1861,plain,
! [SV158: $i] :
( ( ! [SY3371: $i,SY3372: $i,SY3373: $i,SY3374: $i] :
( ( c_Expr_Oexp_Othrow @ SV158 @ SY3371 )
!= ( c_Expr_Oexp_OBinOp @ SY3372 @ SY3373 @ SY3374 @ SY3371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1396]) ).
thf(1862,plain,
! [SV159: $i] :
( ( ! [SY3375: $i,SY3376: $i,SY3377: $i] :
( ! [SY3378: $i] :
( ( c_Expr_Oexp_OCast @ SV159 @ SY3375 @ SY3376 )
!= ( c_Expr_Oexp_OCast @ SY3377 @ SY3378 @ SY3376 ) )
| ( SV159 = SY3377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(1863,plain,
! [SV160: $i] :
( ( ! [SY3379: $i,SY3380: $i,SY3381: $i,SY3382: $i] :
( ( ( c_Expr_Oexp_OCast @ SV160 @ SY3379 @ SY3380 )
!= ( c_Expr_Oexp_OCast @ SY3381 @ SY3382 @ SY3380 ) )
| ( SY3379 = SY3382 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(1864,plain,
! [SV161: $i] :
( ( ! [SY3383: $i,SY3384: $i,SY3385: $i,SY3386: $i,SY3387: $i,SY3388: $i,SY3389: $i] :
( ( c_Expr_Oexp_OCall @ SV161 @ SY3383 @ SY3384 @ SY3385 )
!= ( c_Expr_Oexp_OFAss @ SY3386 @ SY3387 @ SY3388 @ SY3389 @ SY3385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(1865,plain,
! [SV162: $i] :
( ( ! [SY3390: $i,SY3391: $i,SY3392: $i,SY3393: $i,SY3394: $i] :
( ( c_Expr_Oexp_OFAss @ SV162 @ SY3390 @ SY3391 @ SY3392 @ SY3393 )
!= ( c_Expr_Oexp_Othrow @ SY3394 @ SY3393 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1400]) ).
thf(1866,plain,
! [SV163: $i] :
( ( ! [SY3395: $i,SY3396: $i,SY3397: $i,SY3398: $i] : ( c_SmallStep_Oredp @ SV163 @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ SY3395 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3396 @ SY3397 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3398 @ ( c_Expr_Oexp_Othrow @ SY3395 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3398 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1867,plain,
! [SV164: $i] :
( ( ! [SY3399: $i,SY3400: $i,SY3401: $i,SY3402: $i,SY3403: $i] :
( ( c_Expr_Oexp_OBinOp @ SV164 @ SY3399 @ SY3400 @ SY3401 )
!= ( c_Expr_Oexp_OLAss @ SY3402 @ SY3403 @ SY3401 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1402]) ).
thf(1868,plain,
! [SV165: $i] :
( ( ! [SY3404: $i,SY3405: $i,SY3406: $i,SY3407: $i,SY3408: $i,SY3409: $i] :
( ( c_Expr_Oexp_OFAcc @ SV165 @ SY3404 @ SY3405 @ SY3406 )
!= ( c_Expr_Oexp_OBlock @ SY3407 @ SY3408 @ SY3409 @ SY3406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1403]) ).
thf(1869,plain,
! [SV166: $i] :
( ( ! [SY3410: $i,SY3411: $i,SY3412: $i,SY3413: $i,SY3414: $i] :
( ( c_Expr_Oexp_OCall @ SV166 @ SY3410 @ SY3411 @ SY3412 )
!= ( c_Expr_Oexp_OCast @ SY3413 @ SY3414 @ SY3412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(1870,plain,
! [SV167: $i] :
( ( ! [SY3415: $i,SY3416: $i] :
( ( c_Expr_Oexp_Othrow @ SV167 @ SY3415 )
!= ( c_Expr_Oexp_OVal @ SY3416 @ SY3415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1405]) ).
thf(1871,plain,
! [SV168: $i] :
( ( ! [SY3417: $i,SY3418: $i,SY3419: $i,SY3420: $i,SY3421: $i,SY3422: $i] :
( ( c_Expr_Oexp_OLAss @ SV168 @ SY3417 @ SY3418 )
!= ( c_Expr_Oexp_OTryCatch @ SY3419 @ SY3420 @ SY3421 @ SY3422 @ SY3418 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(1872,plain,
! [SV169: $i] :
( ( ! [SY3423: $i,SY3424: $i,SY3425: $i,SY3426: $i,SY3427: $i,SY3428: $i] :
( ( c_Expr_Oexp_OCall @ SV169 @ SY3423 @ SY3424 @ SY3425 )
!= ( c_Expr_Oexp_OFAcc @ SY3426 @ SY3427 @ SY3428 @ SY3425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(1873,plain,
! [SV170: $i] :
( ( ! [SY3429: $i,SY3430: $i,SY3431: $i,SY3432: $i] :
( ( c_Expr_Oexp_OFAcc @ SV170 @ SY3429 @ SY3430 @ SY3431 )
!= ( c_Expr_Oexp_Othrow @ SY3432 @ SY3431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1408]) ).
thf(1874,plain,
! [SV171: $i] :
( ( ! [SY3433: $i,SY3434: $i,SY3435: $i,SY3436: $i,SY3437: $i] : ( c_SmallStep_Oredp @ SV171 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ SY3433 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3434 @ SY3435 @ SY3436 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3437 @ ( c_Expr_Oexp_Othrow @ SY3433 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3437 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(1875,plain,
! [SV172: $i] :
( ( ! [SY3438: $i,SY3439: $i,SY3440: $i] : ( c_Map_Omap__le @ SV172 @ ( c_Map_Omap__add @ SY3438 @ SV172 @ SY3439 @ SY3440 ) @ SY3439 @ SY3440 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1410]) ).
thf(1876,plain,
! [SV173: $i] :
( ( ! [SY3441: $i,SY3442: $i,SY3443: $i,SY3444: $i] :
( ( c_Expr_Oexp_OSeq @ SV173 @ SY3441 @ SY3442 )
!= ( c_Expr_Oexp_OCast @ SY3443 @ SY3444 @ SY3442 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1411]) ).
thf(1877,plain,
! [SV174: $i] :
( ( ! [SY3445: $i,SY3446: $i,SY3447: $i,SY3448: $i] :
( ( c_Expr_Oexp_OWhile @ SV174 @ SY3445 @ SY3446 )
!= ( c_Expr_Oexp_OCast @ SY3447 @ SY3448 @ SY3446 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1878,plain,
! [SV175: $i] :
( ( ! [SY3449: $i,SY3450: $i,SY3451: $i] : ( c_SmallStep_Oredp @ SV175 @ ( c_Expr_Oexp_OCast @ SY3449 @ ( c_Expr_Oexp_Othrow @ SY3450 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3451 @ ( c_Expr_Oexp_Othrow @ SY3450 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3451 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1879,plain,
! [SV176: $i] :
( ( ! [SY3452: $i,SY3453: $i,SY3454: $i,SY3455: $i] :
( ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV176 @ SY3452 @ SY3453 @ SY3454 ) @ SY3455 @ SY3453 @ SY3454 )
| ~ ( c_Map_Omap__le @ SV176 @ ( c_Map_Omap__add @ SV176 @ SY3452 @ SY3453 @ SY3454 ) @ SY3453 @ SY3454 )
| ~ ( c_Map_Omap__le @ SY3452 @ SY3455 @ SY3453 @ SY3454 )
| ~ ( c_Map_Omap__le @ SV176 @ SY3455 @ SY3453 @ SY3454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1414]) ).
thf(1880,plain,
! [SV177: $i] :
( ( ! [SY3456: $i,SY3457: $i,SY3458: $i,SY3459: $i] :
( ( c_BigStep_Oeval @ SV177 @ ( c_Expr_Oexp_OCast @ SY3456 @ SY3457 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3458 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3459 )
| ~ ( c_BigStep_Oeval @ SV177 @ SY3457 @ SY3458 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3459 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1415]) ).
thf(1881,plain,
! [SV178: $i] :
( ( ! [SY3460: $i,SY3461: $i,SY3462: $i,SY3463: $i,SY3464: $i,SY3465: $i] :
( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SY3460 @ SY3461 @ SY3462 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3463 @ ( c_Expr_Oexp_Othrow @ SY3464 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3465 )
| ! [SY3466: $i] :
( ~ ( c_BigStep_Oeval @ SV178 @ SY3462 @ SY3466 @ ( c_Expr_Oexp_Othrow @ SY3464 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3465 )
| ! [SY3467: $i] :
~ ( c_BigStep_Oeval @ SV178 @ SY3460 @ SY3463 @ ( c_Expr_Oexp_OVal @ SY3467 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3466 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1416]) ).
thf(1882,plain,
! [SV179: $i] :
( ( ! [SY3468: $i,SY3469: $i,SY3470: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV179 @ SY3468 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3469 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3468 @ SY3469 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3470 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1417]) ).
thf(1883,plain,
! [SV180: $i] :
( ( ! [SY3471: $i,SY3472: $i,SY3473: $i,SY3474: $i,SY3475: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV180 @ SY3471 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV180 @ ( c_Expr_Oexp_OVal @ SY3472 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ SY3473 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3474 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3473 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3474 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3475 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1418]) ).
thf(1884,plain,
! [SV181: $i] :
( ( ! [SY3476: $i,SY3477: $i,SY3478: $i,SY3479: $i,SY3480: $i,SY3481: $i,SY3482: $i] :
( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SY3476 @ SY3477 @ SY3478 @ SY3479 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3480 @ ( c_Expr_Oexp_Othrow @ SY3481 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3482 )
| ! [SY3483: $i] :
( ~ ( c_BigStep_Oeval @ SV181 @ SY3479 @ SY3483 @ ( c_Expr_Oexp_Othrow @ SY3481 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3482 )
| ! [SY3484: $i] :
~ ( c_BigStep_Oeval @ SV181 @ SY3476 @ SY3480 @ ( c_Expr_Oexp_OVal @ SY3484 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3483 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1419]) ).
thf(1885,plain,
! [SV182: $i] :
( ( ! [SY3485: $i,SY3486: $i] : ( c_SmallStep_Oredp @ SV182 @ ( c_Expr_Oexp_OCast @ SY3485 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3486 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3486 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1420]) ).
thf(1886,plain,
! [SV183: $i] :
( ( ! [SY3487: $i,SY3488: $i,SY3489: $i,SY3490: $i] : ( c_SmallStep_Oredp @ SV183 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SY3487 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3488 @ ( c_Expr_Oexp_Othrow @ SY3489 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3490 @ ( c_Expr_Oexp_Othrow @ SY3489 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3490 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1421]) ).
thf(1887,plain,
! [SV184: $i] :
( ( ! [SY3491: $i,SY3492: $i,SY3493: $i,SY3494: $i,SY3495: $i] : ( c_SmallStep_Oredp @ SV184 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SY3491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3492 @ SY3493 @ ( c_Expr_Oexp_Othrow @ SY3494 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3495 @ ( c_Expr_Oexp_Othrow @ SY3494 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3495 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1422]) ).
thf(1888,plain,
! [SV185: $i] :
( ( ! [SY3496: $i,SY3497: $i,SY3498: $i,SY3499: $i,SY3500: $i,SY3501: $i,SY3502: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3496 @ SY3497 @ SY3498 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3499 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3496 @ SY3497 @ SY3500 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3501 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3502 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3498 @ SY3499 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3500 @ SY3501 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3502 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1423]) ).
thf(1889,plain,
! [SV186: $i] :
( ( ! [SY3503: $i,SY3504: $i,SY3505: $i,SY3506: $i,SY3507: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV186 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3503 @ SY3504 @ ( c_Expr_Oexp_Othrow @ SY3505 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3505 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3507 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1424]) ).
thf(1890,plain,
! [SV187: $i] :
( ( ! [SY3508: $i,SY3509: $i,SY3510: $i,SY3511: $i,SY3512: $i,SY3513: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3508 @ SY3509 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3510 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3508 @ SY3511 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3512 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3513 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3509 @ SY3510 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3511 @ SY3512 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3513 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1425]) ).
thf(1891,plain,
! [SV188: $i] :
( ( ! [SY3514: $i,SY3515: $i,SY3516: $i,SY3517: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV188 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3514 @ ( c_Expr_Oexp_Othrow @ SY3515 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3516 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3515 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3516 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3517 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1426]) ).
thf(1892,plain,
! [SV189: $i] :
( ( ! [SY3518: $i,SY3519: $i,SY3520: $i,SY3521: $i,SY3522: $i,SY3523: $i] :
( ( c_Conform_Olconf @ SV189 @ SY3518 @ SY3519 @ SY3520 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Olconf @ SV189 @ SY3521 @ SY3522 @ SY3520 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY3524: $i] :
~ ( c_WellTypeRT_OWTrt @ SV189 @ SY3521 @ SY3520 @ SY3523 @ SY3524 )
| ! [SY3525: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3523 @ ( c_Pair @ SY3521 @ SY3522 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3525 @ ( c_Pair @ SY3518 @ SY3519 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1427]) ).
thf(1893,plain,
! [SV190: $i] :
( ( ! [SY3526: $i,SY3527: $i,SY3528: $i,SY3529: $i,SY3530: $i,SY3531: $i] :
( ( c_Conform_Ohconf @ SV190 @ SY3526 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Ohconf @ SV190 @ SY3527 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV190 @ SY3527 @ SY3528 @ SY3529 @ SY3530 )
| ! [SY3532: $i,SY3533: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3529 @ ( c_Pair @ SY3527 @ SY3531 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3532 @ ( c_Pair @ SY3526 @ SY3533 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1428]) ).
thf(1894,plain,
! [SV191: $i] :
( ( ! [SY3534: $i,SY3535: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV191 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3534 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3534 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3535 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1429]) ).
thf(1895,plain,
! [SV192: $i] :
( ( ! [SY3536: $i,SY3537: $i,SY3538: $i] : ( c_SmallStep_Oredp @ SV192 @ ( c_Expr_Oexp_OWhile @ SY3536 @ SY3537 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3538 @ ( c_Expr_Oexp_OCond @ SY3536 @ ( c_Expr_Oexp_OSeq @ SY3537 @ ( c_Expr_Oexp_OWhile @ SY3536 @ SY3537 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3538 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1430]) ).
thf(1896,plain,
! [SV193: $i] :
( ( ! [SY3539: $i,SY3540: $i,SY3541: $i,SY3542: $i,SY3543: $i] :
( ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OCond @ SY3539 @ ( c_Expr_Oexp_OSeq @ SY3540 @ ( c_Expr_Oexp_OWhile @ SY3539 @ SY3540 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3541 @ SY3542 @ SY3543 )
| ~ ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OWhile @ SY3539 @ SY3540 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3541 @ SY3542 @ SY3543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1431]) ).
thf(1897,plain,
! [SV194: $i] :
( ( ! [SY3544: $i,SY3545: $i,SY3546: $i,SY3547: $i,SY3548: $i] :
( ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OWhile @ SY3544 @ SY3545 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3546 @ SY3547 @ SY3548 )
| ~ ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OCond @ SY3544 @ ( c_Expr_Oexp_OSeq @ SY3545 @ ( c_Expr_Oexp_OWhile @ SY3544 @ SY3545 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3546 @ SY3547 @ SY3548 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1432]) ).
thf(1898,plain,
! [SV195: $i] :
( ( ! [SY3549: $i,SY3550: $i,SY3551: $i,SY3552: $i,SY3553: $i,SY3554: $i,SY3555: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV195 @ SY3549 @ SY3550 @ SY3551 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3552 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SY3553 @ SY3549 @ SY3550 @ SY3551 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3554 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3555 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV195 @ SY3552 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3553 @ SY3554 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3555 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1433]) ).
thf(1899,plain,
! [SV196: $i] :
( ( ! [SY3556: $i,SY3557: $i,SY3558: $i,SY3559: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ SV196 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3556 @ SY3557 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3558 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV196 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3558 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3559 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1434]) ).
thf(1900,plain,
! [SV197: $i] :
( ( ! [SY3560: $i,SY3561: $i,SY3562: $i,SY3563: $i,SY3564: $i,SY3565: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV197 @ SY3560 @ SY3561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SY3563 @ SY3560 @ SY3561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3564 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3565 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV197 @ SY3562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3563 @ SY3564 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3565 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1435]) ).
thf(1901,plain,
! [SV198: $i] :
( ( ! [SY3566: $i,SY3567: $i,SY3568: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ SV198 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3566 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3567 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV198 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3567 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3568 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1436]) ).
thf(1902,plain,
! [SV199: $i] :
( ( ! [SY3569: $i,SY3570: $i,SY3571: $i,SY3572: $i,SY3573: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV199 @ SY3569 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3570 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SY3571 @ SY3569 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3573 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV199 @ SY3570 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3571 @ SY3572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3573 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1437]) ).
thf(1903,plain,
! [SV200: $i] :
( ( ! [SY3574: $i,SY3575: $i,SY3576: $i,SY3577: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ SV200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3574 @ SY3575 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3576 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3576 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3577 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1438]) ).
thf(1904,plain,
! [SV201: $i] :
( ( ! [SY3578: $i,SY3579: $i,SY3580: $i,SY3581: $i,SY3582: $i,SY3583: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV201 @ SY3578 @ SY3579 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3580 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SY3581 @ SY3578 @ SY3579 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3582 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3583 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV201 @ SY3580 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3581 @ SY3582 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3583 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1439]) ).
thf(1905,plain,
! [SV202: $i] :
( ( ! [SY3584: $i,SY3585: $i,SY3586: $i,SY3587: $i,SY3588: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ SV202 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3584 @ SY3585 @ SY3586 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3587 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV202 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3587 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3588 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1440]) ).
thf(1906,plain,
! [SV203: $i] :
( ( ! [SY3589: $i,SY3590: $i,SY3591: $i,SY3592: $i,SY3593: $i,SY3594: $i,SY3595: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV203 @ SY3589 @ SY3590 @ SY3591 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3592 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SY3593 @ SY3589 @ SY3590 @ SY3591 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3594 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3595 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV203 @ SY3592 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3593 @ SY3594 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3595 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1441]) ).
thf(1907,plain,
! [SV204: $i] :
( ( ! [SY3596: $i,SY3597: $i,SY3598: $i,SY3599: $i,SY3600: $i,SY3601: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV204 @ SY3596 @ SY3597 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3598 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SY3599 @ SY3596 @ SY3597 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3600 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3601 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV204 @ SY3598 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3599 @ SY3600 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3601 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1442]) ).
thf(1908,plain,
! [SV205: $i] :
( ( ! [SY3602: $i,SY3603: $i,SY3604: $i,SY3605: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ SV205 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3602 @ SY3603 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3604 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV205 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3604 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3605 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1443]) ).
thf(1909,plain,
! [SV206: $i] :
( ( ! [SY3606: $i,SY3607: $i,SY3608: $i,SY3609: $i,SY3610: $i,SY3611: $i,SY3612: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SY3606 @ ( c_Map_Omap__add @ SY3607 @ SY3608 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3609 @ ( c_Pair @ SY3610 @ ( c_Map_Omap__add @ SY3607 @ SY3611 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3612 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SY3606 @ SY3608 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3609 @ ( c_Pair @ SY3610 @ SY3611 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3612 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1444]) ).
thf(1910,plain,
! [SV207: $i] :
( ( ! [SY3613: $i,SY3614: $i,SY3615: $i,SY3616: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV207 @ SY3613 @ ( c_Expr_Oexp_OVal @ SY3614 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3615 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3614 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3615 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3616 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1445]) ).
thf(1911,plain,
! [SV208: $i] :
( ( ! [SY3617: $i,SY3618: $i,SY3619: $i,SY3620: $i] :
( ( c_WellTypeRT_OWTrt @ SV208 @ SY3617 @ SY3618 @ SY3619 @ c_Type_Oty_ONT )
| ! [SY3621: $i,SY3622: $i] :
( ( c_WellTypeRT_OWTrt @ SV208 @ SY3617 @ SY3618 @ SY3619 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SY3620 @ SY3618 @ SY3621 @ SV208 @ SY3622 @ SY3619 @ SY3617 ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV208 @ SY3617 @ SY3618 @ ( c_Expr_Oexp_OFAcc @ SY3619 @ SY3621 @ SY3620 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3622 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1446]) ).
thf(1912,plain,
! [SV209: $i] :
( ( ! [SY3623: $i,SY3624: $i,SY3625: $i,SY3626: $i,SY3627: $i] :
( ( c_WellTypeRT_OWTrt @ SV209 @ SY3623 @ SY3624 @ SY3625 @ c_Type_Oty_ONT )
| ! [SY3628: $i] :
( ( c_WellTypeRT_OWTrt @ SV209 @ SY3623 @ SY3624 @ SY3625 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY3626 @ SY3624 @ SY3627 @ SV209 @ SY3625 @ SY3623 @ SY3628 ) ) )
| ! [SY3629: $i] :
~ ( c_WellTypeRT_OWTrt @ SV209 @ SY3623 @ SY3624 @ ( c_Expr_Oexp_OFAss @ SY3625 @ SY3627 @ SY3626 @ SY3628 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3629 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1447]) ).
thf(1913,plain,
! [SV210: $i] :
( ( ! [SY3630: $i,SY3631: $i,SY3632: $i,SY3633: $i,SY3634: $i,SY3635: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV210 @ SY3630 @ SY3631 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3632 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SY3633 @ SY3630 @ SY3631 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3634 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3635 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV210 @ SY3632 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3633 @ SY3634 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3635 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1448]) ).
thf(1914,plain,
! [SV211: $i] :
( ( ! [SY3636: $i,SY3637: $i,SY3638: $i,SY3639: $i,SY3640: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SY3636 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3637 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SY3638 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3639 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3640 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3636 @ SY3637 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3638 @ SY3639 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3640 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1449]) ).
thf(1915,plain,
! [SV212: $i] :
( ( ! [SY3641: $i,SY3642: $i,SY3643: $i,SY3644: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV212 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3641 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3642 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3643 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3644 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV212 @ SY3641 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3642 @ SY3643 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3644 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1450]) ).
thf(1916,plain,
! [SV213: $i] :
( ( ! [SY3645: $i,SY3646: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_Othrow @ SV213 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3645 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV213 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3645 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3646 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1451]) ).
thf(1917,plain,
! [SV214: $i] :
( ( ! [SY3647: $i,SY3648: $i,SY3649: $i,SY3650: $i,SY3651: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SY3647 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3648 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SY3649 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3650 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3651 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3647 @ SY3648 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3649 @ SY3650 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3651 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1452]) ).
thf(1918,plain,
! [SV215: $i] :
( ( ! [SY3652: $i,SY3653: $i,SY3654: $i,SY3655: $i,SY3656: $i,SY3657: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV215 @ SY3652 @ SY3653 @ SY3654 ) @ ( c_Pair @ SV215 @ SY3655 @ SY3653 @ SY3654 ) @ ( tc_prod @ SY3653 @ SY3654 ) @ ( tc_prod @ SY3653 @ SY3654 ) ) @ ( c_Recdef_Osame__fst @ SY3656 @ SY3657 @ SY3653 @ SY3654 ) @ ( tc_prod @ ( tc_prod @ SY3653 @ SY3654 ) @ ( tc_prod @ SY3653 @ SY3654 ) ) )
| ~ ( c_in @ ( c_Pair @ SY3652 @ SY3655 @ SY3654 @ SY3654 ) @ ( hAPP @ SY3657 @ SV215 ) @ ( tc_prod @ SY3654 @ SY3654 ) )
| ~ ( hBOOL @ ( hAPP @ SY3656 @ SV215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1453]) ).
thf(1919,plain,
! [SV216: $i] :
( ( ! [SY3658: $i,SY3659: $i,SY3660: $i,SY3661: $i,SY3662: $i] :
( ( c_in @ ( c_Pair @ SV216 @ SY3658 @ SY3659 @ SY3659 ) @ SY3660 @ ( tc_prod @ SY3659 @ SY3659 ) )
| ! [SY3663: $i,SY3664: $i] :
( ( c_in @ ( c_Pair @ SY3661 @ SY3662 @ SY3663 @ SY3663 ) @ SY3664 @ ( tc_prod @ SY3663 @ SY3663 ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3661 @ SV216 @ SY3663 @ SY3659 ) @ ( c_Pair @ SY3662 @ SY3658 @ SY3663 @ SY3659 ) @ ( tc_prod @ SY3663 @ SY3659 ) @ ( tc_prod @ SY3663 @ SY3659 ) ) @ ( c_Wellfounded_Olex__prod @ SY3664 @ SY3660 @ SY3663 @ SY3659 ) @ ( tc_prod @ ( tc_prod @ SY3663 @ SY3659 ) @ ( tc_prod @ SY3663 @ SY3659 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(1920,plain,
! [SV217: $i] :
( ( ! [SY3665: $i,SY3666: $i,SY3667: $i,SY3668: $i,SY3669: $i,SY3670: $i] :
( ! [SY3671: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ SV217 @ SY3665 @ SY3666 @ SY3667 ) @ ( c_Pair @ SY3668 @ SY3669 @ SY3666 @ SY3667 ) @ ( tc_prod @ SY3666 @ SY3667 ) @ ( tc_prod @ SY3666 @ SY3667 ) ) @ ( c_Wellfounded_Olex__prod @ SY3670 @ SY3671 @ SY3666 @ SY3667 ) @ ( tc_prod @ ( tc_prod @ SY3666 @ SY3667 ) @ ( tc_prod @ SY3666 @ SY3667 ) ) )
| ~ ( c_in @ ( c_Pair @ SV217 @ SY3668 @ SY3666 @ SY3666 ) @ SY3670 @ ( tc_prod @ SY3666 @ SY3666 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1455]) ).
thf(1921,plain,
! [SV218: $i] :
( ( ! [SY3672: $i,SY3673: $i,SY3674: $i,SY3675: $i,SY3676: $i,SY3677: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV218 @ SY3672 @ SY3673 @ SY3674 ) @ ( c_Pair @ SV218 @ SY3675 @ SY3673 @ SY3674 ) @ ( tc_prod @ SY3673 @ SY3674 ) @ ( tc_prod @ SY3673 @ SY3674 ) ) @ ( c_Wellfounded_Olex__prod @ SY3676 @ SY3677 @ SY3673 @ SY3674 ) @ ( tc_prod @ ( tc_prod @ SY3673 @ SY3674 ) @ ( tc_prod @ SY3673 @ SY3674 ) ) )
| ~ ( c_in @ ( c_Pair @ SY3672 @ SY3675 @ SY3674 @ SY3674 ) @ SY3677 @ ( tc_prod @ SY3674 @ SY3674 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1456]) ).
thf(1922,plain,
! [SV219: $i] :
( ( ! [SY3678: $i,SY3679: $i,SY3680: $i,SY3681: $i,SY3682: $i] :
( ( SV219 = SY3678 )
| ( c_in @ ( c_Pair @ SV219 @ SY3678 @ SY3679 @ SY3679 ) @ SY3680 @ ( tc_prod @ SY3679 @ SY3679 ) )
| ! [SY3683: $i,SY3684: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV219 @ SY3681 @ SY3679 @ SY3682 ) @ ( c_Pair @ SY3678 @ SY3683 @ SY3679 @ SY3682 ) @ ( tc_prod @ SY3679 @ SY3682 ) @ ( tc_prod @ SY3679 @ SY3682 ) ) @ ( c_Wellfounded_Olex__prod @ SY3680 @ SY3684 @ SY3679 @ SY3682 ) @ ( tc_prod @ ( tc_prod @ SY3679 @ SY3682 ) @ ( tc_prod @ SY3679 @ SY3682 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1457]) ).
thf(1923,plain,
! [SV220: $i] :
( ( ! [SY3685: $i,SY3686: $i,SY3687: $i,SY3688: $i,SY3689: $i,SY3690: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SY3685 @ SY3686 ) @ ( c_List_Olist_OCons @ SY3687 @ SY3688 @ SY3685 ) @ ( c_List_Olist_OCons @ SY3689 @ SY3690 @ SY3686 ) @ SY3685 @ SY3686 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SY3685 @ SY3686 ) @ SY3688 @ SY3690 @ SY3685 @ SY3686 )
| ~ ( c_in @ ( c_Pair @ SY3687 @ SY3689 @ SY3685 @ SY3686 ) @ SV220 @ ( tc_prod @ SY3685 @ SY3686 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1458]) ).
thf(1924,plain,
! [SV221: $i] :
( ( ! [SY3691: $i,SY3692: $i,SY3693: $i,SY3694: $i,SY3695: $i,SY3696: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SY3691 @ SY3692 ) @ ( c_List_Olist_OCons @ SY3693 @ SY3694 @ SY3691 ) @ ( c_List_Olist_OCons @ SY3695 @ SY3696 @ SY3692 ) @ SY3691 @ SY3692 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SY3691 @ SY3692 ) @ SY3694 @ SY3696 @ SY3691 @ SY3692 )
| ~ ( c_in @ ( c_Pair @ SY3693 @ SY3695 @ SY3691 @ SY3692 ) @ SV221 @ ( tc_prod @ SY3691 @ SY3692 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1459]) ).
thf(1925,plain,
! [SV222: $i] :
( ( ! [SY3697: $i,SY3698: $i,SY3699: $i,SY3700: $i,SY3701: $i,SY3702: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SY3697 @ SY3698 ) @ ( c_List_Olist_OCons @ SY3699 @ SY3700 @ SY3697 ) @ ( c_List_Olist_OCons @ SY3701 @ SY3702 @ SY3698 ) @ SY3697 @ SY3698 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SY3697 @ SY3698 ) @ SY3700 @ SY3702 @ SY3697 @ SY3698 )
| ~ ( c_in @ ( c_Pair @ SY3699 @ SY3701 @ SY3697 @ SY3698 ) @ SV222 @ ( tc_prod @ SY3697 @ SY3698 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1460]) ).
thf(1926,plain,
! [SV223: $i] :
( ( ! [SY3703: $i,SY3704: $i,SY3705: $i,SY3706: $i] :
( ( c_in @ ( c_Pair @ SV223 @ SY3703 @ SY3704 @ SY3705 ) @ SY3706 @ ( tc_prod @ SY3704 @ SY3705 ) )
| ! [SY3707: $i,SY3708: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SY3706 @ SY3704 @ SY3705 ) @ ( c_List_Olist_OCons @ SV223 @ SY3707 @ SY3704 ) @ ( c_List_Olist_OCons @ SY3703 @ SY3708 @ SY3705 ) @ SY3704 @ SY3705 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(1927,plain,
! [SV224: $i] :
( ( ! [SY3709: $i,SY3710: $i,SY3711: $i,SY3712: $i,SY3713: $i,SY3714: $i,SY3715: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SY3709 @ SY3710 @ SY3711 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3712 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3714 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3715 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3716: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3711 @ SY3716 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3714 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3715 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3717: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SY3712 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3717 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3716 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3715 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1462]) ).
thf(1928,plain,
! [SV225: $i] :
( ( ! [SY3718: $i,SY3719: $i,SY3720: $i,SY3721: $i,SY3722: $i,SY3723: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SY3718 @ SY3719 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3720 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3721 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3722 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3723 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3724: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3719 @ SY3724 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3721 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3722 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3723 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3725: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SY3720 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3725 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3724 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3723 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1463]) ).
thf(1929,plain,
! [SV226: $i] :
( ( ! [SY3726: $i,SY3727: $i,SY3728: $i,SY3729: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV226 @ SY3726 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3727 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3728 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3729 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3726 @ SY3727 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3728 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3729 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1464]) ).
thf(1930,plain,
! [SV227: $i] :
( ( ! [SY3730: $i,SY3731: $i,SY3732: $i,SY3733: $i,SY3734: $i,SY3735: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV227 @ SY3730 @ SY3731 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3732 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3733 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3734 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3735 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV227 @ SY3732 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3733 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3734 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3735 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1465]) ).
thf(1931,plain,
! [SV228: $i] :
( ( ! [SY3736: $i,SY3737: $i,SY3738: $i,SY3739: $i,SY3740: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV228 @ SY3736 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3737 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3738 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3739 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3740 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV228 @ SY3737 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3738 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3739 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3740 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1466]) ).
thf(1932,plain,
! [SV229: $i] :
( ( ! [SY3741: $i,SY3742: $i,SY3743: $i,SY3744: $i,SY3745: $i,SY3746: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV229 @ SY3741 @ SY3742 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3743 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3744 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3745 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3746 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV229 @ SY3743 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3744 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3745 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3746 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1467]) ).
thf(1933,plain,
! [SV230: $i] :
( ( ! [SY3747: $i,SY3748: $i,SY3749: $i,SY3750: $i,SY3751: $i,SY3752: $i,SY3753: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV230 @ SY3747 @ SY3748 @ SY3749 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3750 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3751 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3752 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3753 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV230 @ SY3750 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3751 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3752 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3753 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1468]) ).
thf(1934,plain,
! [SV231: $i] :
( ( ! [SY3754: $i,SY3755: $i,SY3756: $i,SY3757: $i,SY3758: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV231 @ SY3754 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3755 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3756 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3757 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3758 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV231 @ SY3755 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3756 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3757 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3758 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1469]) ).
thf(1935,plain,
! [SV232: $i] :
( ( ! [SY3759: $i,SY3760: $i,SY3761: $i,SY3762: $i,SY3763: $i,SY3764: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV232 @ SY3759 @ SY3760 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3761 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3762 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3763 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3764 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV232 @ SY3761 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3762 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3763 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3764 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1470]) ).
thf(1936,plain,
! [SV233: $i] :
( ( ! [SY3765: $i,SY3766: $i,SY3767: $i,SY3768: $i,SY3769: $i,SY3770: $i,SY3771: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SY3765 @ ( c_Map_Omap__add @ SY3766 @ SY3767 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3768 @ ( c_Pair @ SY3769 @ ( c_Map_Omap__add @ SY3766 @ SY3770 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3771 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SY3765 @ SY3767 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3768 @ ( c_Pair @ SY3769 @ SY3770 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3771 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1471]) ).
thf(1937,plain,
! [SV234: $i] :
( ( ! [SY3772: $i,SY3773: $i,SY3774: $i,SY3775: $i,SY3776: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SY3772 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SY3774 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3775 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3776 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3772 @ SY3773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3774 @ SY3775 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3776 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1472]) ).
thf(1938,plain,
! [SV235: $i] :
( ( ! [SY3777: $i,SY3778: $i,SY3779: $i,SY3780: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV235 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3777 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3778 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3779 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3780 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV235 @ SY3777 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3778 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3779 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3780 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1473]) ).
thf(1939,plain,
! [SV236: $i] :
( ( ! [SY3781: $i,SY3782: $i,SY3783: $i,SY3784: $i,SY3785: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SY3781 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3782 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SY3783 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3784 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3785 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3781 @ SY3782 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3783 @ SY3784 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3785 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1474]) ).
thf(1940,plain,
! [SV237: $i] :
( ( ! [SY3786: $i,SY3787: $i,SY3788: $i,SY3789: $i,SY3790: $i,SY3791: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV237 @ SY3786 @ SY3787 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3788 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SY3789 @ SY3786 @ SY3787 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3790 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3791 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV237 @ SY3788 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3789 @ SY3790 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3791 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1475]) ).
thf(1941,plain,
( ( c_Value_Oval_OUnit = c_Value_Oval_ONull )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1476]) ).
thf(1942,plain,
! [SV238: $i] :
( ( ! [SY3792: $i,SY3793: $i] :
( ( c_in @ SV238 @ ( c_Transitive__Closure_Ortrancl @ SY3792 @ SY3793 ) @ ( tc_prod @ SY3793 @ SY3793 ) )
| ~ ( c_in @ SV238 @ SY3792 @ ( tc_prod @ SY3793 @ SY3793 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1477]) ).
thf(1943,plain,
( ( c_Value_Oval_ONull = c_Value_Oval_OUnit )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1478]) ).
thf(1944,plain,
! [SV239: $i] :
( ( ! [SY3794: $i,SY3795: $i] : ( c_in @ ( c_Pair @ SV239 @ SV239 @ SY3794 @ SY3794 ) @ ( c_Transitive__Closure_Ortrancl @ SY3795 @ SY3794 ) @ ( tc_prod @ SY3794 @ SY3794 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1945,plain,
! [SV240: $i] :
( ( ! [SY3796: $i,SY3797: $i] : ( c_in @ ( c_Pair @ SV240 @ SV240 @ SY3796 @ SY3796 ) @ ( c_Transitive__Closure_Ortrancl @ SY3797 @ SY3796 ) @ ( tc_prod @ SY3796 @ SY3796 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1480]) ).
thf(1946,plain,
! [SV241: $i] :
( ( ! [SY3798: $i,SY3799: $i,SY3800: $i] :
( ( c_in @ ( c_Pair @ SV241 @ SY3798 @ SY3799 @ SY3799 ) @ ( c_Transitive__Closure_Ortrancl @ SY3800 @ SY3799 ) @ ( tc_prod @ SY3799 @ SY3799 ) )
| ! [SY3801: $i] :
( ~ ( c_in @ ( c_Pair @ SY3801 @ SY3798 @ SY3799 @ SY3799 ) @ ( c_Transitive__Closure_Ortrancl @ SY3800 @ SY3799 ) @ ( tc_prod @ SY3799 @ SY3799 ) )
| ~ ( c_in @ ( c_Pair @ SV241 @ SY3801 @ SY3799 @ SY3799 ) @ ( c_Transitive__Closure_Ortrancl @ SY3800 @ SY3799 ) @ ( tc_prod @ SY3799 @ SY3799 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1481]) ).
thf(1947,plain,
! [SV242: $i] :
( ( ! [SY3802: $i,SY3803: $i,SY3804: $i] :
( ( c_in @ ( c_Pair @ SV242 @ SY3802 @ SY3803 @ SY3803 ) @ ( c_Transitive__Closure_Ortrancl @ SY3804 @ SY3803 ) @ ( tc_prod @ SY3803 @ SY3803 ) )
| ! [SY3805: $i] :
( ~ ( c_in @ ( c_Pair @ SY3805 @ SY3802 @ SY3803 @ SY3803 ) @ ( c_Transitive__Closure_Ortrancl @ SY3804 @ SY3803 ) @ ( tc_prod @ SY3803 @ SY3803 ) )
| ~ ( c_in @ ( c_Pair @ SV242 @ SY3805 @ SY3803 @ SY3803 ) @ SY3804 @ ( tc_prod @ SY3803 @ SY3803 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1948,plain,
! [SV243: $i] :
( ( ! [SY3806: $i,SY3807: $i,SY3808: $i] :
( ( c_in @ ( c_Pair @ SV243 @ SY3806 @ SY3807 @ SY3807 ) @ ( c_Transitive__Closure_Ortrancl @ SY3808 @ SY3807 ) @ ( tc_prod @ SY3807 @ SY3807 ) )
| ! [SY3809: $i] :
( ~ ( c_in @ ( c_Pair @ SY3809 @ SY3806 @ SY3807 @ SY3807 ) @ SY3808 @ ( tc_prod @ SY3807 @ SY3807 ) )
| ~ ( c_in @ ( c_Pair @ SV243 @ SY3809 @ SY3807 @ SY3807 ) @ ( c_Transitive__Closure_Ortrancl @ SY3808 @ SY3807 ) @ ( tc_prod @ SY3807 @ SY3807 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1483]) ).
thf(1949,plain,
! [SV244: $i] :
( ( ! [SY3810: $i,SY3811: $i,SY3812: $i,SY3813: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV244 @ SY3810 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3811 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3812 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3813 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV244 @ SY3811 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3812 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3813 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1484]) ).
thf(1950,plain,
! [SV245: $i] :
( ( ! [SY3814: $i,SY3815: $i,SY3816: $i,SY3817: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV245 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3814 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY3815 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3816 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3817 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV245 @ SY3814 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3815 @ SY3816 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3817 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1485]) ).
thf(1951,plain,
! [SV246: $i] :
( ( ! [SY3818: $i] :
( ( c_Transitive__Closure_Ortrancl @ ( c_Transitive__Closure_Ortrancl @ SV246 @ SY3818 ) @ SY3818 )
= ( c_Transitive__Closure_Ortrancl @ SV246 @ SY3818 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(1952,plain,
! [SV247: $i] :
( ( ! [SY3819: $i,SY3820: $i,SY3821: $i,SY3822: $i,SY3823: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV247 @ SY3819 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3820 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3821 @ SY3822 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3823 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3824: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3819 @ SY3824 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3821 @ SY3822 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3823 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3825: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV247 @ SY3820 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3825 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3824 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3823 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1487]) ).
thf(1953,plain,
! [SV248: $i] :
( ( ! [SY3826: $i,SY3827: $i,SY3828: $i,SY3829: $i,SY3830: $i,SY3831: $i,SY3832: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV248 @ SY3826 @ SY3827 @ SY3828 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3829 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3830 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3831 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3832 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV248 @ SY3829 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3830 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3831 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY3832 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1488]) ).
thf(1954,plain,
! [SV249: $i] :
( ( ! [SY3833: $i,SY3834: $i,SY3835: $i,SY3836: $i] :
( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SY3833 @ SY3834 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SY3833 @ SY3835 )
| ! [SY3837: $i] :
~ ( c_WellTypeRT_OWTrt @ SV249 @ ( c_State_Ohp @ SY3835 ) @ SY3833 @ SY3836 @ SY3837 )
| ! [SY3838: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3836 @ SY3835 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3838 @ SY3834 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1489]) ).
thf(1955,plain,
! [SV250: $i] :
( ( ! [SY3839: $i,SY3840: $i,SY3841: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV250 @ SY3839 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3840 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV250 @ ( c_Expr_Oexp_OSeq @ SY3839 @ ( c_Expr_Oexp_OWhile @ SV250 @ SY3839 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3840 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3841 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1490]) ).
thf(1956,plain,
! [SV251: $i] :
( ( ! [SY3842: $i,SY3843: $i,SY3844: $i,SY3845: $i,SY3846: $i] :
( ( c_Expr_Oexp_OSeq @ SV251 @ SY3842 @ SY3843 )
!= ( c_Expr_Oexp_OFAcc @ SY3844 @ SY3845 @ SY3846 @ SY3843 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1957,plain,
! [SV252: $i] :
( ( ! [SY3847: $i,SY3848: $i,SY3849: $i,SY3850: $i,SY3851: $i,SY3852: $i] :
( ( c_Expr_Oexp_OFAcc @ SV252 @ SY3847 @ SY3848 @ SY3849 )
!= ( c_Expr_Oexp_OBinOp @ SY3850 @ SY3851 @ SY3852 @ SY3849 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1492]) ).
thf(1958,plain,
! [SV253: $i] :
( ( ! [SY3853: $i,SY3854: $i,SY3855: $i,SY3856: $i,SY3857: $i] :
( ( c_Expr_Oexp_OWhile @ SV253 @ SY3853 @ SY3854 )
!= ( c_Expr_Oexp_OFAcc @ SY3855 @ SY3856 @ SY3857 @ SY3854 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1959,plain,
! [SV254: $i] :
( ( ! [SY3858: $i,SY3859: $i,SY3860: $i,SY3861: $i] :
( ! [SY3862: $i,SY3863: $i] :
( ( c_Expr_Oexp_OBinOp @ SV254 @ SY3858 @ SY3859 @ SY3860 )
!= ( c_Expr_Oexp_OBinOp @ SY3861 @ SY3862 @ SY3863 @ SY3860 ) )
| ( SV254 = SY3861 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(1960,plain,
! [SV255: $i] :
( ( ! [SY3864: $i,SY3865: $i,SY3866: $i,SY3867: $i,SY3868: $i] :
( ! [SY3869: $i] :
( ( c_Expr_Oexp_OBinOp @ SV255 @ SY3864 @ SY3865 @ SY3866 )
!= ( c_Expr_Oexp_OBinOp @ SY3867 @ SY3868 @ SY3869 @ SY3866 ) )
| ( SY3864 = SY3868 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1495]) ).
thf(1961,plain,
! [SV256: $i] :
( ( ! [SY3870: $i,SY3871: $i,SY3872: $i,SY3873: $i,SY3874: $i,SY3875: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV256 @ SY3870 @ SY3871 @ SY3872 )
!= ( c_Expr_Oexp_OBinOp @ SY3873 @ SY3874 @ SY3875 @ SY3872 ) )
| ( SY3871 = SY3875 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1496]) ).
thf(1962,plain,
! [SV257: $i] :
( ( ! [SY3876: $i,SY3877: $i,SY3878: $i,SY3879: $i,SY3880: $i] :
( ( c_Expr_Oexp_OVal @ SV257 @ SY3876 )
!= ( c_Expr_Oexp_OFAss @ SY3877 @ SY3878 @ SY3879 @ SY3880 @ SY3876 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1497]) ).
thf(1963,plain,
! [SV258: $i] :
( ( ! [SY3881: $i,SY3882: $i,SY3883: $i,SY3884: $i,SY3885: $i,SY3886: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV258 @ SY3881 @ SY3882 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3883 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SY3884 @ SY3881 @ SY3882 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3885 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3886 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV258 @ SY3883 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3884 @ SY3885 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3886 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1498]) ).
thf(1964,plain,
! [SV259: $i] :
( ( ! [SY3887: $i,SY3888: $i,SY3889: $i,SY3890: $i,SY3891: $i,SY3892: $i,SY3893: $i] :
( ( c_SmallStep_Oredp @ SV259 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SY3887 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3888 @ SY3889 @ SY3890 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3891 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SY3887 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3888 @ SY3889 @ SY3892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3893 )
| ~ ( c_SmallStep_Oredp @ SV259 @ SY3890 @ SY3891 @ SY3892 @ SY3893 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1499]) ).
thf(1965,plain,
! [SV260: $i] :
( ( ! [SY3894: $i,SY3895: $i,SY3896: $i,SY3897: $i] :
( ( c_Expr_Oexp_OVal @ SV260 @ SY3894 )
!= ( c_Expr_Oexp_OFAcc @ SY3895 @ SY3896 @ SY3897 @ SY3894 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1500]) ).
thf(1966,plain,
! [SV261: $i] :
( ( ! [SY3898: $i,SY3899: $i,SY3900: $i,SY3901: $i] :
( ( ( c_List_Olist_OCons @ SV261 @ SY3898 @ SY3899 )
!= ( c_List_Olist_OCons @ SY3900 @ SY3901 @ SY3899 ) )
| ( SY3898 = SY3901 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1967,plain,
! [SV262: $i] :
( ( ! [SY3902: $i,SY3903: $i,SY3904: $i] :
( ! [SY3905: $i] :
( ( c_List_Olist_OCons @ SV262 @ SY3902 @ SY3903 )
!= ( c_List_Olist_OCons @ SY3904 @ SY3905 @ SY3903 ) )
| ( SV262 = SY3904 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1502]) ).
thf(1968,plain,
! [SV263: $i] :
( ( ! [SY3906: $i,SY3907: $i,SY3908: $i,SY3909: $i] :
( ( c_WellTypeRT_OWTrt @ SV263 @ SY3906 @ SY3907 @ ( c_Expr_Oexp_OBinOp @ SY3908 @ c_Expr_Obop_OEq @ SY3909 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY3910: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SY3906 @ SY3907 @ SY3909 @ SY3910 )
| ! [SY3911: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SY3906 @ SY3907 @ SY3908 @ SY3911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1503]) ).
thf(1969,plain,
! [SV264: $i] :
( ( ! [SY3912: $i,SY3913: $i,SY3914: $i,SY3915: $i,SY3916: $i,SY3917: $i] :
( ( c_Expr_Oexp_OBinOp @ SV264 @ SY3912 @ SY3913 @ SY3914 )
!= ( c_Expr_Oexp_OCond @ SY3915 @ SY3916 @ SY3917 @ SY3914 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1504]) ).
thf(1970,plain,
! [SV265: $i] :
( ( ! [SY3918: $i,SY3919: $i,SY3920: $i,SY3921: $i,SY3922: $i,SY3923: $i] :
( ( c_Expr_Oexp_OFAss @ SV265 @ SY3918 @ SY3919 @ SY3920 @ SY3921 )
!= ( c_Expr_Oexp_OWhile @ SY3922 @ SY3923 @ SY3921 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1505]) ).
thf(1971,plain,
! [SV266: $i] :
( ( c_Type_Oty_ONT
!= ( c_Type_Oty_OClass @ SV266 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1972,plain,
! [SV267: $i] :
( ( ! [SY3924: $i,SY3925: $i,SY3926: $i,SY3927: $i,SY3928: $i,SY3929: $i,SY3930: $i] :
( ( c_Expr_Oexp_OFAcc @ SV267 @ SY3924 @ SY3925 @ SY3926 )
!= ( c_Expr_Oexp_OFAss @ SY3927 @ SY3928 @ SY3929 @ SY3930 @ SY3926 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1507]) ).
thf(1973,plain,
! [SV268: $i] :
( ( ( c_Type_Oty_OClass @ SV268 )
!= c_Type_Oty_OBoolean )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1508]) ).
thf(1974,plain,
! [SV269: $i] :
( ( ! [SY3931: $i,SY3932: $i,SY3933: $i,SY3934: $i] :
( ( c_Expr_Oexp_OVal @ SV269 @ SY3931 )
!= ( c_Expr_Oexp_OBinOp @ SY3932 @ SY3933 @ SY3934 @ SY3931 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1509]) ).
thf(1975,plain,
! [SV270: $i] :
( ( ! [SY3935: $i,SY3936: $i,SY3937: $i] :
( ( c_Expr_Oexp_OWhile @ SV270 @ SY3935 @ SY3936 )
!= ( c_Expr_Oexp_OVal @ SY3937 @ SY3936 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(1976,plain,
! [SV271: $i] :
( ( ! [SY3938: $i,SY3939: $i,SY3940: $i,SY3941: $i,SY3942: $i] :
( ( c_Expr_Oexp_OFAcc @ SV271 @ SY3938 @ SY3939 @ SY3940 )
!= ( c_Expr_Oexp_OWhile @ SY3941 @ SY3942 @ SY3940 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1511]) ).
thf(1977,plain,
! [SV272: $i] :
( ( ! [SY3943: $i,SY3944: $i,SY3945: $i,SY3946: $i,SY3947: $i,SY3948: $i,SY3949: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV272 @ SY3943 @ SY3944 @ SY3945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3946 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SY3947 @ SY3943 @ SY3944 @ SY3945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3948 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3949 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV272 @ SY3946 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3947 @ SY3948 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3949 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1512]) ).
thf(1978,plain,
! [SV273: $i] :
( ( ! [SY3950: $i,SY3951: $i,SY3952: $i,SY3953: $i,SY3954: $i,SY3955: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3950 @ SY3951 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3952 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3950 @ SY3953 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3954 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3955 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY3951 @ SY3952 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3953 @ SY3954 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY3955 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1513]) ).
thf(1979,plain,
! [SV274: $i] :
( ( ! [SY3956: $i,SY3957: $i,SY3958: $i,SY3959: $i,SY3960: $i,SY3961: $i] :
( ( c_Expr_Oexp_OWhile @ SV274 @ SY3956 @ SY3957 )
!= ( c_Expr_Oexp_OTryCatch @ SY3958 @ SY3959 @ SY3960 @ SY3961 @ SY3957 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1980,plain,
! [SV275: $i] :
( ( ! [SY3962: $i,SY3963: $i,SY3964: $i,SY3965: $i,SY3966: $i,SY3967: $i] :
( ( c_SmallStep_Oredp @ SV275 @ ( c_Expr_Oexp_OBinOp @ SY3962 @ SY3963 @ SY3964 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3965 @ ( c_Expr_Oexp_OBinOp @ SY3966 @ SY3963 @ SY3964 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3967 )
| ~ ( c_SmallStep_Oredp @ SV275 @ SY3962 @ SY3965 @ SY3966 @ SY3967 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1515]) ).
thf(1981,plain,
! [SV276: $i] :
( ( ! [SY3968: $i,SY3969: $i,SY3970: $i,SY3971: $i,SY3972: $i] :
( ( c_Expr_Oexp_OSeq @ SV276 @ SY3968 @ SY3969 )
!= ( c_Expr_Oexp_OBinOp @ SY3970 @ SY3971 @ SY3972 @ SY3969 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1516]) ).
thf(1982,plain,
! [SV277: $i] :
( ( ! [SY3973: $i,SY3974: $i,SY3975: $i,SY3976: $i,SY3977: $i,SY3978: $i,SY3979: $i] :
( ( c_Expr_Oexp_OFAss @ SV277 @ SY3973 @ SY3974 @ SY3975 @ SY3976 )
!= ( c_Expr_Oexp_OFAcc @ SY3977 @ SY3978 @ SY3979 @ SY3976 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1517]) ).
thf(1983,plain,
! [SV278: $i] :
( ( ! [SY3980: $i,SY3981: $i,SY3982: $i,SY3983: $i,SY3984: $i] :
( ( c_Expr_Oexp_OBinOp @ SV278 @ SY3980 @ SY3981 @ SY3982 )
!= ( c_Expr_Oexp_OSeq @ SY3983 @ SY3984 @ SY3982 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1518]) ).
thf(1984,plain,
! [SV279: $i] :
( ( ! [SY3985: $i,SY3986: $i] : ( c_BigStep_Oeval @ SV279 @ ( c_Expr_Oexp_OVal @ SY3985 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3986 @ ( c_Expr_Oexp_OVal @ SY3985 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3986 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1519]) ).
thf(1985,plain,
! [SV280: $i] :
( ( ! [SY3987: $i,SY3988: $i,SY3989: $i,SY3990: $i,SY3991: $i,SY3992: $i,SY3993: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV280 @ SY3987 @ SY3988 @ SY3989 @ SY3990 )
!= ( c_Expr_Oexp_OBinOp @ SY3991 @ SY3992 @ SY3993 @ SY3990 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(1986,plain,
! [SV281: $i] :
( ( ! [SY3994: $i,SY3995: $i] :
( ( SV281
= ( c_Expr_Oexp_OVal @ SY3994 @ ( tc_List_Olist @ tc_String_Ochar ) ) )
| ! [SY3996: $i,SY3997: $i] :
~ ( c_BigStep_Oeval @ SY3995 @ ( c_Expr_Oexp_OVal @ SY3994 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3996 @ SV281 @ SY3997 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1521]) ).
thf(1987,plain,
! [SV282: $i] :
( ( ! [SY3998: $i,SY3999: $i,SY4000: $i,SY4001: $i,SY4002: $i,SY4003: $i] :
( ( c_Expr_Oexp_OFAss @ SV282 @ SY3998 @ SY3999 @ SY4000 @ SY4001 )
!= ( c_Expr_Oexp_OSeq @ SY4002 @ SY4003 @ SY4001 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1522]) ).
thf(1988,plain,
! [SV283: $i] :
( ( ! [SY4004: $i,SY4005: $i,SY4006: $i] :
( ( c_Expr_Oexp_OVal @ SV283 @ SY4004 )
!= ( c_Expr_Oexp_OWhile @ SY4005 @ SY4006 @ SY4004 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1989,plain,
! [SV284: $i] :
( ( ! [SY4007: $i,SY4008: $i,SY4009: $i,SY4010: $i,SY4011: $i,SY4012: $i,SY4013: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV284 @ SY4007 @ SY4008 @ SY4009 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4010 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SY4011 @ SY4007 @ SY4008 @ SY4009 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4012 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4013 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV284 @ SY4010 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY4011 @ SY4012 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4013 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1524]) ).
thf(1990,plain,
! [SV285: $i] :
( ( ! [SY4014: $i,SY4015: $i,SY4016: $i,SY4017: $i,SY4018: $i,SY4019: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV285 @ SY4014 @ SY4015 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4016 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SY4017 @ SY4014 @ SY4015 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4018 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4019 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV285 @ SY4016 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY4017 @ SY4018 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4019 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1525]) ).
thf(1991,plain,
! [SV286: $i] :
( ( ! [SY4020: $i,SY4021: $i,SY4022: $i,SY4023: $i,SY4024: $i,SY4025: $i,SY4026: $i] :
( ( c_Expr_Oexp_OFAcc @ SV286 @ SY4020 @ SY4021 @ SY4022 )
!= ( c_Expr_Oexp_OTryCatch @ SY4023 @ SY4024 @ SY4025 @ SY4026 @ SY4022 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1992,plain,
! [SV287: $i] :
( ( ! [SY4027: $i,SY4028: $i,SY4029: $i,SY4030: $i,SY4031: $i] :
( ( c_SmallStep_Oredp @ SV287 @ ( c_Expr_Oexp_OSeq @ SY4027 @ SY4028 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4029 @ ( c_Expr_Oexp_OSeq @ SY4030 @ SY4028 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4031 )
| ~ ( c_SmallStep_Oredp @ SV287 @ SY4027 @ SY4029 @ SY4030 @ SY4031 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1527]) ).
thf(1993,plain,
! [SV288: $i] :
( ( ! [SY4032: $i,SY4033: $i,SY4034: $i,SY4035: $i,SY4036: $i,SY4037: $i] :
( ! [SY4038: $i,SY4039: $i] :
( ( c_Expr_Oexp_OFAss @ SV288 @ SY4032 @ SY4033 @ SY4034 @ SY4035 )
!= ( c_Expr_Oexp_OFAss @ SY4036 @ SY4037 @ SY4038 @ SY4039 @ SY4035 ) )
| ( SV288 = SY4036 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1528]) ).
thf(1994,plain,
! [SV289: $i] :
( ( ! [SY4040: $i,SY4041: $i,SY4042: $i,SY4043: $i,SY4044: $i,SY4045: $i] :
( ! [SY4046: $i,SY4047: $i] :
( ( c_Expr_Oexp_OFAss @ SV289 @ SY4040 @ SY4041 @ SY4042 @ SY4043 )
!= ( c_Expr_Oexp_OFAss @ SY4044 @ SY4045 @ SY4046 @ SY4047 @ SY4043 ) )
| ( SY4040 = SY4045 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1529]) ).
thf(1995,plain,
! [SV290: $i] :
( ( ! [SY4048: $i,SY4049: $i,SY4050: $i,SY4051: $i,SY4052: $i,SY4053: $i,SY4054: $i] :
( ! [SY4055: $i] :
( ( c_Expr_Oexp_OFAss @ SV290 @ SY4048 @ SY4049 @ SY4050 @ SY4051 )
!= ( c_Expr_Oexp_OFAss @ SY4052 @ SY4053 @ SY4054 @ SY4055 @ SY4051 ) )
| ( SY4049 = SY4054 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1530]) ).
thf(1996,plain,
! [SV291: $i] :
( ( ! [SY4056: $i,SY4057: $i,SY4058: $i,SY4059: $i,SY4060: $i,SY4061: $i,SY4062: $i,SY4063: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV291 @ SY4056 @ SY4057 @ SY4058 @ SY4059 )
!= ( c_Expr_Oexp_OFAss @ SY4060 @ SY4061 @ SY4062 @ SY4063 @ SY4059 ) )
| ( SY4058 = SY4063 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1531]) ).
thf(1997,plain,
! [SV292: $i] :
( ( ! [SY4064: $i,SY4065: $i,SY4066: $i,SY4067: $i] :
( ! [SY4068: $i,SY4069: $i] :
( ( c_Expr_Oexp_OFAcc @ SV292 @ SY4064 @ SY4065 @ SY4066 )
!= ( c_Expr_Oexp_OFAcc @ SY4067 @ SY4068 @ SY4069 @ SY4066 ) )
| ( SV292 = SY4067 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1532]) ).
thf(1998,plain,
! [SV293: $i] :
( ( ! [SY4070: $i,SY4071: $i,SY4072: $i,SY4073: $i,SY4074: $i] :
( ! [SY4075: $i] :
( ( c_Expr_Oexp_OFAcc @ SV293 @ SY4070 @ SY4071 @ SY4072 )
!= ( c_Expr_Oexp_OFAcc @ SY4073 @ SY4074 @ SY4075 @ SY4072 ) )
| ( SY4070 = SY4074 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1533]) ).
thf(1999,plain,
! [SV294: $i] :
( ( ! [SY4076: $i,SY4077: $i,SY4078: $i,SY4079: $i,SY4080: $i,SY4081: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV294 @ SY4076 @ SY4077 @ SY4078 )
!= ( c_Expr_Oexp_OFAcc @ SY4079 @ SY4080 @ SY4081 @ SY4078 ) )
| ( SY4077 = SY4081 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1534]) ).
thf(2000,plain,
! [SV295: $i] :
( ( ! [SY4082: $i,SY4083: $i,SY4084: $i,SY4085: $i,SY4086: $i,SY4087: $i] :
( ( c_List_Olist__all2 @ SV295 @ ( c_List_Olist_OCons @ SY4082 @ SY4083 @ SY4084 ) @ ( c_List_Olist_OCons @ SY4085 @ SY4086 @ SY4087 ) @ SY4084 @ SY4087 )
| ~ ( c_List_Olist__all2 @ SV295 @ SY4083 @ SY4086 @ SY4084 @ SY4087 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV295 @ SY4082 ) @ SY4085 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1535]) ).
thf(2001,plain,
! [SV296: $i] :
( ( ! [SY4088: $i,SY4089: $i,SY4090: $i,SY4091: $i,SY4092: $i,SY4093: $i] :
( ( c_List_Olist__all2 @ SV296 @ ( c_List_Olist_OCons @ SY4088 @ SY4089 @ SY4090 ) @ ( c_List_Olist_OCons @ SY4091 @ SY4092 @ SY4093 ) @ SY4090 @ SY4093 )
| ~ ( c_List_Olist__all2 @ SV296 @ SY4089 @ SY4092 @ SY4090 @ SY4093 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV296 @ SY4088 ) @ SY4091 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(2002,plain,
! [SV297: $i] :
( ( ! [SY4094: $i,SY4095: $i,SY4096: $i,SY4097: $i,SY4098: $i,SY4099: $i] :
( ( c_List_Olist__all2 @ SV297 @ ( c_List_Olist_OCons @ SY4094 @ SY4095 @ SY4096 ) @ ( c_List_Olist_OCons @ SY4097 @ SY4098 @ SY4099 ) @ SY4096 @ SY4099 )
| ~ ( c_List_Olist__all2 @ SV297 @ SY4095 @ SY4098 @ SY4096 @ SY4099 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV297 @ SY4094 ) @ SY4097 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1537]) ).
thf(2003,plain,
! [SV298: $i] :
( ( ! [SY4100: $i,SY4101: $i,SY4102: $i,SY4103: $i,SY4104: $i] :
( ( c_Expr_Oexp_OFAcc @ SV298 @ SY4100 @ SY4101 @ SY4102 )
!= ( c_Expr_Oexp_OSeq @ SY4103 @ SY4104 @ SY4102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1538]) ).
thf(2004,plain,
! [SV299: $i] :
( ( ! [SY4105: $i,SY4106: $i,SY4107: $i,SY4108: $i,SY4109: $i] :
( ( c_Expr_Oexp_OWhile @ SV299 @ SY4105 @ SY4106 )
!= ( c_Expr_Oexp_OBinOp @ SY4107 @ SY4108 @ SY4109 @ SY4106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1539]) ).
thf(2005,plain,
! [SV300: $i] :
( ( ! [SY4110: $i] :
( ( ( c_Type_Oty_OClass @ SV300 )
!= ( c_Type_Oty_OClass @ SY4110 ) )
| ( SV300 = SY4110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1540]) ).
thf(2006,plain,
! [SV301: $i] :
( ( ! [SY4111: $i,SY4112: $i,SY4113: $i,SY4114: $i,SY4115: $i,SY4116: $i,SY4117: $i] :
( ( c_Expr_Oexp_OBinOp @ SV301 @ SY4111 @ SY4112 @ SY4113 )
!= ( c_Expr_Oexp_OFAss @ SY4114 @ SY4115 @ SY4116 @ SY4117 @ SY4113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1541]) ).
thf(2007,plain,
! [SV302: $i] :
( ( ! [SY4118: $i,SY4119: $i,SY4120: $i,SY4121: $i,SY4122: $i] :
( ( c_Expr_Oexp_OBinOp @ SV302 @ SY4118 @ SY4119 @ SY4120 )
!= ( c_Expr_Oexp_OWhile @ SY4121 @ SY4122 @ SY4120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1542]) ).
thf(2008,plain,
! [SV303: $i] :
( ( ! [SY4123: $i,SY4124: $i,SY4125: $i,SY4126: $i] :
( ( c_Expr_Oexp_OSeq @ SV303 @ SY4123 @ SY4124 )
!= ( c_Expr_Oexp_OWhile @ SY4125 @ SY4126 @ SY4124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1543]) ).
thf(2009,plain,
! [SV304: $i] :
( ( ! [SY4127: $i,SY4128: $i,SY4129: $i,SY4130: $i,SY4131: $i,SY4132: $i,SY4133: $i,SY4134: $i] :
( ( c_Expr_Oexp_OFAss @ SV304 @ SY4127 @ SY4128 @ SY4129 @ SY4130 )
!= ( c_Expr_Oexp_OTryCatch @ SY4131 @ SY4132 @ SY4133 @ SY4134 @ SY4130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1544]) ).
thf(2010,plain,
! [SV305: $i] :
( ( ! [SY4135: $i,SY4136: $i,SY4137: $i,SY4138: $i,SY4139: $i,SY4140: $i] :
( ( c_Expr_Oexp_OCond @ SV305 @ SY4135 @ SY4136 @ SY4137 )
!= ( c_Expr_Oexp_OBinOp @ SY4138 @ SY4139 @ SY4140 @ SY4137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1545]) ).
thf(2011,plain,
! [SV306: $i] :
( ( ! [SY4141: $i,SY4142: $i,SY4143: $i,SY4144: $i,SY4145: $i,SY4146: $i,SY4147: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4141 @ SY4142 @ SY4143 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4144 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4141 @ SY4142 @ SY4145 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4146 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4147 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY4143 @ SY4144 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY4145 @ SY4146 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4147 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1546]) ).
thf(2012,plain,
! [SV307: $i] :
( ( ! [SY4148: $i,SY4149: $i,SY4150: $i,SY4151: $i,SY4152: $i,SY4153: $i] :
( ( c_SmallStep_Oredp @ SV307 @ ( c_Expr_Oexp_OCond @ SY4148 @ SY4149 @ SY4150 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4151 @ ( c_Expr_Oexp_OCond @ SY4152 @ SY4149 @ SY4150 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4153 )
| ~ ( c_SmallStep_Oredp @ SV307 @ SY4148 @ SY4151 @ SY4152 @ SY4153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1547]) ).
thf(2013,plain,
! [SV308: $i] :
( ( ! [SY4154: $i,SY4155: $i,SY4156: $i,SY4157: $i,SY4158: $i,SY4159: $i] :
( ( c_Expr_Oexp_OBinOp @ SV308 @ SY4154 @ SY4155 @ SY4156 )
!= ( c_Expr_Oexp_OFAcc @ SY4157 @ SY4158 @ SY4159 @ SY4156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1548]) ).
thf(2014,plain,
! [SV309: $i] :
( ( ! [SY4160: $i,SY4161: $i,SY4162: $i,SY4163: $i] :
( ( c_List_Olist__all2 @ SV309 @ SY4160 @ SY4161 @ SY4162 @ SY4163 )
| ! [SY4164: $i,SY4165: $i] :
~ ( c_List_Olist__all2 @ SV309 @ ( c_List_Olist_OCons @ SY4164 @ SY4160 @ SY4162 ) @ ( c_List_Olist_OCons @ SY4165 @ SY4161 @ SY4163 ) @ SY4162 @ SY4163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1549]) ).
thf(2015,plain,
! [SV310: $i] :
( ( ! [SY4166: $i,SY4167: $i,SY4168: $i,SY4169: $i,SY4170: $i,SY4171: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV310 @ SY4166 @ SY4167 @ SY4168 @ SY4169 )
!= ( c_Expr_Oexp_OWhile @ SY4170 @ SY4171 @ SY4169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1550]) ).
thf(2016,plain,
! [SV311: $i] :
( ( ! [SY4172: $i,SY4173: $i,SY4174: $i,SY4175: $i] :
( ( c_Objects_Ohext @ SV311 @ SY4172 )
| ! [SY4176: $i,SY4177: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY4173 @ ( c_Pair @ SV311 @ SY4174 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY4175 @ ( c_Pair @ SY4172 @ SY4176 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4177 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1551]) ).
thf(2017,plain,
! [SV312: $i] :
( ( ! [SY4178: $i,SY4179: $i,SY4180: $i,SY4181: $i,SY4182: $i,SY4183: $i,SY4184: $i,SY4185: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV312 @ SY4178 @ SY4179 @ SY4180 @ SY4181 )
!= ( c_Expr_Oexp_OFAss @ SY4182 @ SY4183 @ SY4184 @ SY4185 @ SY4181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1552]) ).
thf(2018,plain,
! [SV313: $i] :
( ( ! [SY4186: $i,SY4187: $i,SY4188: $i,SY4189: $i] :
( ( c_Expr_Oexp_OBinOp @ SV313 @ SY4186 @ SY4187 @ SY4188 )
!= ( c_Expr_Oexp_OVal @ SY4189 @ SY4188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(2019,plain,
! [SV314: $i] :
( ( ! [SY4190: $i,SY4191: $i,SY4192: $i,SY4193: $i,SY4194: $i,SY4195: $i,SY4196: $i] :
( ( c_Expr_Oexp_OCond @ SV314 @ SY4190 @ SY4191 @ SY4192 )
!= ( c_Expr_Oexp_OFAss @ SY4193 @ SY4194 @ SY4195 @ SY4196 @ SY4192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(2020,plain,
! [SV315: $i] :
( ( ! [SY4197: $i,SY4198: $i,SY4199: $i,SY4200: $i,SY4201: $i,SY4202: $i,SY4203: $i] :
( ( c_SmallStep_Oredp @ SV315 @ ( c_Expr_Oexp_OFAss @ SY4197 @ SY4198 @ SY4199 @ SY4200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4201 @ ( c_Expr_Oexp_OFAss @ SY4202 @ SY4198 @ SY4199 @ SY4200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4203 )
| ~ ( c_SmallStep_Oredp @ SV315 @ SY4197 @ SY4201 @ SY4202 @ SY4203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1555]) ).
thf(2021,plain,
! [SV316: $i] :
( ( ! [SY4204: $i,SY4205: $i,SY4206: $i,SY4207: $i,SY4208: $i,SY4209: $i] :
( ( c_SmallStep_Oredp @ SV316 @ ( c_Expr_Oexp_OFAcc @ SY4204 @ SY4205 @ SY4206 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4207 @ ( c_Expr_Oexp_OFAcc @ SY4208 @ SY4205 @ SY4206 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4209 )
| ~ ( c_SmallStep_Oredp @ SV316 @ SY4204 @ SY4207 @ SY4208 @ SY4209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1556]) ).
thf(2022,plain,
! [SV317: $i] :
( ( ! [SY4210: $i,SY4211: $i,SY4212: $i,SY4213: $i] :
( ( c_Progress_OWTrt_H @ SV317 @ SY4210 @ SY4211 @ ( c_Expr_Oexp_OBinOp @ SY4212 @ c_Expr_Obop_OEq @ SY4213 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY4214: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SY4210 @ SY4211 @ SY4213 @ SY4214 )
| ! [SY4215: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SY4210 @ SY4211 @ SY4212 @ SY4215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1557]) ).
thf(2023,plain,
! [SV318: $i] :
( ( ! [SY4216: $i,SY4217: $i,SY4218: $i,SY4219: $i,SY4220: $i] :
( ( c_Expr_Oexp_OWhile @ SV318 @ SY4216 @ SY4217 )
!= ( c_Expr_Oexp_OCond @ SY4218 @ SY4219 @ SY4220 @ SY4217 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1558]) ).
thf(2024,plain,
! [SV319: $i] :
( ( c_Type_Oty_OBoolean
!= ( c_Type_Oty_OClass @ SV319 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1559]) ).
thf(2025,plain,
! [SV320: $i] :
( ( ! [SY4221: $i,SY4222: $i,SY4223: $i,SY4224: $i,SY4225: $i,SY4226: $i,SY4227: $i] :
( ( c_SmallStep_Oredp @ SV320 @ ( c_Expr_Oexp_OTryCatch @ SY4221 @ SY4222 @ SY4223 @ SY4224 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4225 @ ( c_Expr_Oexp_OTryCatch @ SY4226 @ SY4222 @ SY4223 @ SY4224 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4227 )
| ~ ( c_SmallStep_Oredp @ SV320 @ SY4221 @ SY4225 @ SY4226 @ SY4227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1560]) ).
thf(2026,plain,
! [SV321: $i] :
( ( ! [SY4228: $i,SY4229: $i,SY4230: $i,SY4231: $i,SY4232: $i,SY4233: $i,SY4234: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV321 @ SY4228 @ SY4229 @ SY4230 @ SY4231 )
!= ( c_Expr_Oexp_OFAcc @ SY4232 @ SY4233 @ SY4234 @ SY4231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1561]) ).
thf(2027,plain,
! [SV322: $i] :
( ( ! [SY4235: $i,SY4236: $i,SY4237: $i,SY4238: $i,SY4239: $i,SY4240: $i] :
( ( c_Expr_Oexp_OCond @ SV322 @ SY4235 @ SY4236 @ SY4237 )
!= ( c_Expr_Oexp_OFAcc @ SY4238 @ SY4239 @ SY4240 @ SY4237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1562]) ).
thf(2028,plain,
! [SV323: $i] :
( ( ! [SY4241: $i,SY4242: $i,SY4243: $i,SY4244: $i,SY4245: $i] :
( ( c_Expr_Oexp_OFAss @ SV323 @ SY4241 @ SY4242 @ SY4243 @ SY4244 )
!= ( c_Expr_Oexp_OVal @ SY4245 @ SY4244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1563]) ).
thf(2029,plain,
! [SV324: $i] :
( ( ! [SY4246: $i,SY4247: $i,SY4248: $i,SY4249: $i,SY4250: $i] :
( ( c_Expr_Oexp_OCond @ SV324 @ SY4246 @ SY4247 @ SY4248 )
!= ( c_Expr_Oexp_OWhile @ SY4249 @ SY4250 @ SY4248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1564]) ).
thf(2030,plain,
! [SV325: $i] :
( ( ! [SY4251: $i,SY4252: $i,SY4253: $i,SY4254: $i,SY4255: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV325 @ SY4251 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4252 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SY4253 @ SY4251 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4254 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4255 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV325 @ SY4252 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY4253 @ SY4254 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4255 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1565]) ).
thf(2031,plain,
! [SV326: $i] :
( ( ! [SY4256: $i] :
( ! [SY4257: $i] : ( c_in @ SV326 @ SY4256 @ SY4257 )
| ~ ( hBOOL @ ( hAPP @ SY4256 @ SV326 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1566]) ).
thf(2032,plain,
! [SV327: $i] :
( ( ! [SY4258: $i] :
( ( hBOOL @ ( hAPP @ SV327 @ SY4258 ) )
| ! [SY4259: $i] :
~ ( c_in @ SY4258 @ SV327 @ SY4259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1567]) ).
thf(2033,plain,
! [SV328: $i] :
( ( ! [SY4260: $i,SY4261: $i,SY4262: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ SV328 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4260 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4261 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY4260 @ SY4261 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4262 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1568]) ).
thf(2034,plain,
! [SV329: $i] :
( ( ! [SY4263: $i,SY4264: $i,SY4265: $i,SY4266: $i] :
( ( c_Expr_Oexp_OFAcc @ SV329 @ SY4263 @ SY4264 @ SY4265 )
!= ( c_Expr_Oexp_OVal @ SY4266 @ SY4265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1569]) ).
thf(2035,plain,
! [SV330: $i] :
( ( ( c_Type_Oty_OClass @ SV330 )
!= c_Type_Oty_ONT )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1570]) ).
thf(2036,plain,
! [SV331: $i] :
( ( ! [SY4267: $i,SY4268: $i,SY4269: $i,SY4270: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV331 @ SY4267 ) @ SY4268 ) )
| ! [SY4271: $i,SY4272: $i] :
~ ( c_List_Olist__all2 @ SV331 @ ( c_List_Olist_OCons @ SY4267 @ SY4269 @ SY4270 ) @ ( c_List_Olist_OCons @ SY4268 @ SY4271 @ SY4272 ) @ SY4270 @ SY4272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1571]) ).
thf(2037,plain,
! [SV332: $i] :
( ( ! [SY4273: $i,SY4274: $i,SY4275: $i,SY4276: $i,SY4277: $i,SY4278: $i] :
( ( c_SmallStep_Oredp @ SV332 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SY4273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4274 @ SY4275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4276 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SY4273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4274 @ SY4277 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4278 )
| ~ ( c_SmallStep_Oredp @ SV332 @ SY4275 @ SY4276 @ SY4277 @ SY4278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1572]) ).
thf(2038,plain,
! [SV333: $i] :
( ( ! [SY4279: $i,SY4280: $i,SY4281: $i,SY4282: $i,SY4283: $i,SY4284: $i] :
( ( c_Expr_Oexp_OFAcc @ SV333 @ SY4279 @ SY4280 @ SY4281 )
!= ( c_Expr_Oexp_OCond @ SY4282 @ SY4283 @ SY4284 @ SY4281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1573]) ).
thf(2039,plain,
! [SV334: $i] :
( ( ! [SY4285: $i,SY4286: $i] :
( ( SV334 = SY4285 )
| ! [SY4287: $i,SY4288: $i] :
~ ( c_BigStep_Oeval @ SY4286 @ ( c_Expr_Oexp_OVal @ SY4287 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4285 @ SY4288 @ SV334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(2040,plain,
! [SV335: $i] :
( ( ! [SY4289: $i,SY4290: $i,SY4291: $i,SY4292: $i,SY4293: $i,SY4294: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV335 @ SY4289 @ SY4290 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4291 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SY4292 @ SY4289 @ SY4290 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4293 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4294 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV335 @ SY4291 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY4292 @ SY4293 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4294 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1575]) ).
thf(2041,plain,
! [SV336: $i] :
( ( ! [SY4295: $i,SY4296: $i,SY4297: $i,SY4298: $i,SY4299: $i,SY4300: $i,SY4301: $i] :
( ( c_Expr_Oexp_OFAss @ SV336 @ SY4295 @ SY4296 @ SY4297 @ SY4298 )
!= ( c_Expr_Oexp_OCond @ SY4299 @ SY4300 @ SY4301 @ SY4298 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1576]) ).
thf(2042,plain,
! [SV337: $i] :
( ( ! [SY4302: $i,SY4303: $i,SY4304: $i] :
( ! [SY4305: $i] :
( ( c_Expr_Oexp_OWhile @ SV337 @ SY4302 @ SY4303 )
!= ( c_Expr_Oexp_OWhile @ SY4304 @ SY4305 @ SY4303 ) )
| ( SV337 = SY4304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1577]) ).
thf(2043,plain,
! [SV338: $i] :
( ( ! [SY4306: $i,SY4307: $i,SY4308: $i,SY4309: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV338 @ SY4306 @ SY4307 )
!= ( c_Expr_Oexp_OWhile @ SY4308 @ SY4309 @ SY4307 ) )
| ( SY4306 = SY4309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1578]) ).
thf(2044,plain,
! [SV339: $i] :
( ( ! [SY4310: $i,SY4311: $i,SY4312: $i,SY4313: $i,SY4314: $i,SY4315: $i,SY4316: $i] :
( ( c_Expr_Oexp_OBinOp @ SV339 @ SY4310 @ SY4311 @ SY4312 )
!= ( c_Expr_Oexp_OTryCatch @ SY4313 @ SY4314 @ SY4315 @ SY4316 @ SY4312 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1579]) ).
thf(2045,plain,
! [SV340: $i] :
( ( ! [SY4317: $i,SY4318: $i,SY4319: $i,SY4320: $i] :
( ( c_Expr_Oexp_OWhile @ SV340 @ SY4317 @ SY4318 )
!= ( c_Expr_Oexp_OSeq @ SY4319 @ SY4320 @ SY4318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1580]) ).
thf(2046,plain,
! [SV341: $i] :
( ( ! [SY4321: $i,SY4322: $i] :
( ( c_List_Olist_OCons @ SV341 @ SY4321 @ SY4322 )
!= SY4321 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(2047,plain,
! [SV342: $i] :
( ( ! [SY4323: $i,SY4324: $i] :
( SV342
!= ( c_List_Olist_OCons @ SY4323 @ SV342 @ SY4324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1582]) ).
thf(2048,plain,
! [SV343: $i] :
( ( ! [SY4325: $i,SY4326: $i,SY4327: $i,SY4328: $i,SY4329: $i,SY4330: $i] :
( ( c_Expr_Oexp_OSeq @ SV343 @ SY4325 @ SY4326 )
!= ( c_Expr_Oexp_OFAss @ SY4327 @ SY4328 @ SY4329 @ SY4330 @ SY4326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(2049,plain,
! [SV344: $i] :
( ( ! [SY4331: $i,SY4332: $i,SY4333: $i,SY4334: $i,SY4335: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ SV344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4331 @ SY4332 @ SY4333 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4334 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4334 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4335 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1584]) ).
thf(2050,plain,
! [SV345: $i] :
( ( ! [SY4336: $i,SY4337: $i,SY4338: $i,SY4339: $i,SY4340: $i,SY4341: $i,SY4342: $i] :
( ( c_Expr_Oexp_OFAss @ SV345 @ SY4336 @ SY4337 @ SY4338 @ SY4339 )
!= ( c_Expr_Oexp_OBinOp @ SY4340 @ SY4341 @ SY4342 @ SY4339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1585]) ).
thf(2051,plain,
! [SV346: $i] :
( ( ! [SY4343: $i,SY4344: $i,SY4345: $i,SY4346: $i,SY4347: $i,SY4348: $i] :
( ( c_Expr_Oexp_OWhile @ SV346 @ SY4343 @ SY4344 )
!= ( c_Expr_Oexp_OFAss @ SY4345 @ SY4346 @ SY4347 @ SY4348 @ SY4344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1586]) ).
thf(2052,plain,
! [SV347: $i] :
( ( ! [SY4349: $i,SY4350: $i,SY4351: $i,SY4352: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SY4349 @ SY4350 ) @ SY4351 @ SY4352 @ tc_Value_Oval @ tc_Type_Oty )
| ! [SY4353: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV347 @ SY4350 ) @ SY4353 @ SY4352 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SY4349 @ SY4350 ) @ SY4351 @ SY4353 @ tc_Value_Oval @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1587]) ).
thf(2053,plain,
! [SV348: $i] :
( ( ! [SY4354: $i,SY4355: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV348 @ SY4354 ) @ c_Type_Oty_ONT ) @ SY4355 ) )
| ! [SY4356: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV348 @ SY4356 @ SY4354 ) @ c_Value_Oval_ONull ) @ SY4355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1589]) ).
thf(2054,plain,
! [SV349: $i] :
( ( ! [SY4357: $i,SY4358: $i,SY4359: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV349 @ SY4357 @ SY4358 ) @ c_Value_Oval_ONull ) @ SY4359 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV349 @ SY4358 ) @ c_Type_Oty_ONT ) @ SY4359 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(2055,plain,
! [SV350: $i] :
( ( ! [SY4360: $i,SY4361: $i,SY4362: $i,SY4363: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV350 @ SY4360 @ SY4361 )
!= ( c_Expr_Oexp_OSeq @ SY4362 @ SY4363 @ SY4361 ) )
| ( SY4360 = SY4363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1591]) ).
thf(2056,plain,
! [SV351: $i] :
( ( ! [SY4364: $i,SY4365: $i,SY4366: $i] :
( ! [SY4367: $i] :
( ( c_Expr_Oexp_OSeq @ SV351 @ SY4364 @ SY4365 )
!= ( c_Expr_Oexp_OSeq @ SY4366 @ SY4367 @ SY4365 ) )
| ( SV351 = SY4366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1592]) ).
thf(2057,plain,
! [SV352: $i] :
( ( ! [SY4368: $i,SY4369: $i,SY4370: $i] :
( ( c_Expr_Oexp_OSeq @ SV352 @ SY4368 @ SY4369 )
!= ( c_Expr_Oexp_OVal @ SY4370 @ SY4369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1593]) ).
thf(2058,plain,
( ( c_Type_Oty_OBoolean = c_Type_Oty_ONT )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(2059,plain,
! [SV353: $i] :
( ( ! [SY4371: $i,SY4372: $i,SY4373: $i,SY4374: $i,SY4375: $i,SY4376: $i,SY4377: $i] :
( ( c_WellTypeRT_OWTrt @ SV353 @ SY4371 @ SY4372 @ SY4373 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SY4374 @ SY4372 @ SV353 @ SY4375 @ SY4376 @ SY4373 @ SY4377 @ SY4371 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV353 @ SY4371 @ SY4372 @ ( c_Expr_Oexp_OTryCatch @ SY4373 @ SY4374 @ SY4376 @ SY4377 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1595]) ).
thf(2060,plain,
! [SV354: $i] :
( ( ! [SY4378: $i,SY4379: $i,SY4380: $i,SY4381: $i] :
( ( c_Objects_Ohext @ SV354 @ SY4378 )
| ! [SY4382: $i,SY4383: $i] :
~ ( c_BigStep_Oevals @ SY4379 @ SY4380 @ ( c_Pair @ SV354 @ SY4381 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SY4382 @ ( c_Pair @ SY4378 @ SY4383 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1596]) ).
thf(2061,plain,
! [SV355: $i] :
( ( ! [SY4384: $i,SY4385: $i] :
( ( c_WellType_OWT @ SV355 @ SY4384 @ SY4385 @ c_Type_Oty_OBoolean )
| ! [SY4386: $i,SY4387: $i] :
~ ( c_WellType_OWT @ SV355 @ SY4384 @ ( c_Expr_Oexp_OWhile @ SY4385 @ SY4386 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4387 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1597]) ).
thf(2062,plain,
! [SV356: $i] :
( ( ! [SY4388: $i,SY4389: $i,SY4390: $i,SY4391: $i] :
( ( SV356
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SY4388 @ SY4389 @ SV356 @ SY4390 @ SY4391 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SY4389 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SY4388 @ SY4389 @ SV356 @ SY4390 @ SY4391 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SY4388 @ SY4389 @ SV356 @ SY4390 @ SY4391 ) ) )
| ! [SY4392: $i] :
~ ( c_WellType_OWT @ SY4389 @ SY4388 @ ( c_Expr_Oexp_OCond @ SY4392 @ SY4390 @ SY4391 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1598]) ).
thf(2063,plain,
! [SV357: $i] :
( ( ! [SY4393: $i,SY4394: $i,SY4395: $i,SY4396: $i,SY4397: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4393 ) @ SY4394 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4394 ) @ SY4393 ) )
| ~ ( c_Progress_OWTrt_H @ SV357 @ SY4395 @ SY4396 @ SY4397 @ SY4394 )
| ! [SY4398: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SY4395 @ SY4396 @ SY4398 @ SY4393 )
| ! [SY4399: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SY4395 @ SY4396 @ SY4399 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SY4395 @ SY4396 @ ( c_Expr_Oexp_OCond @ SY4399 @ SY4398 @ SY4397 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4393 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1599]) ).
thf(2064,plain,
! [SV358: $i] :
( ( ! [SY4400: $i,SY4401: $i,SY4402: $i,SY4403: $i,SY4404: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4400 ) @ SY4401 ) )
| ~ ( c_Progress_OWTrt_H @ SV358 @ SY4402 @ SY4403 @ SY4404 @ SY4401 )
| ! [SY4405: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SY4402 @ SY4403 @ SY4405 @ SY4400 )
| ! [SY4406: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SY4402 @ SY4403 @ SY4406 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SY4402 @ SY4403 @ ( c_Expr_Oexp_OCond @ SY4406 @ SY4405 @ SY4404 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4401 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4401 ) @ SY4400 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1600]) ).
thf(2065,plain,
! [SV359: $i] :
( ( ! [SY4407: $i,SY4408: $i,SY4409: $i,SY4410: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SY4407 @ SY4408 ) @ SY4409 ) @ SY4410 ) )
| ! [SY4411: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SY4411 @ SY4408 ) @ SY4409 ) @ SY4410 ) )
| ~ ( c_Objects_Ohext @ SY4411 @ SY4407 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1601]) ).
thf(2066,plain,
! [SV360: $i] :
( ( c_Objects_Ohext @ SV360 @ SV360 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1602]) ).
thf(2067,plain,
! [SV361: $i] :
( ( ! [SY4412: $i,SY4413: $i,SY4414: $i,SY4415: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SY4412 @ SY4413 ) @ SY4414 @ SY4415 @ tc_Value_Oval @ tc_Type_Oty )
| ! [SY4416: $i] :
( ~ ( c_Objects_Ohext @ SY4416 @ SY4412 )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SY4416 @ SY4413 ) @ SY4414 @ SY4415 @ tc_Value_Oval @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1603]) ).
thf(2068,plain,
! [SV362: $i] :
( ( ! [SY4417: $i] :
( ( c_Objects_Ohext @ SV362 @ SY4417 )
| ! [SY4418: $i] :
( ~ ( c_Objects_Ohext @ SY4418 @ SY4417 )
| ~ ( c_Objects_Ohext @ SV362 @ SY4418 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(2069,plain,
! [SV363: $i] :
( ( ! [SY4419: $i,SY4420: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV363 @ SY4419 ) @ c_Type_Oty_ONT ) @ ( c_Type_Oty_OClass @ SY4420 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(2070,plain,
! [SV364: $i] :
( ( ! [SY4421: $i,SY4422: $i,SY4423: $i,SY4424: $i,SY4425: $i] : ( c_SmallStep_Oredp @ SV364 @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ SY4421 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4422 @ SY4423 @ SY4424 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4425 @ ( c_Expr_Oexp_OVal @ SY4421 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4425 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1606]) ).
thf(2071,plain,
! [SV365: $i] :
( ( ! [SY4426: $i,SY4427: $i,SY4428: $i] :
( ( c_WellType_OWT @ SV365 @ SY4426 @ SY4427 @ c_Type_Oty_OBoolean )
| ! [SY4429: $i,SY4430: $i] :
~ ( c_WellType_OWT @ SV365 @ SY4426 @ ( c_Expr_Oexp_OCond @ SY4427 @ SY4428 @ SY4429 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4430 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1607]) ).
thf(2072,plain,
! [SV366: $i] :
( ( ! [SY4431: $i,SY4432: $i,SY4433: $i,SY4434: $i,SY4435: $i,SY4436: $i,SY4437: $i] :
( ( c_Expr_Oexp_OCond @ SV366 @ SY4431 @ SY4432 @ SY4433 )
!= ( c_Expr_Oexp_OTryCatch @ SY4434 @ SY4435 @ SY4436 @ SY4437 @ SY4433 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(2073,plain,
! [SV367: $i] :
( ( ! [SY4438: $i] :
( ( SV367 = SY4438 )
| ! [SY4439: $i] :
~ ( c_List_Olist__all2 @ ( c_fequal @ SY4439 ) @ SV367 @ SY4438 @ SY4439 @ SY4439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1609]) ).
thf(2074,plain,
! [SV368: $i] :
( ( ! [SY4440: $i,SY4441: $i,SY4442: $i,SY4443: $i] :
( ( c_Expr_Oexp_OVal @ SV368 @ SY4440 )
!= ( c_Expr_Oexp_OCond @ SY4441 @ SY4442 @ SY4443 @ SY4440 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1610]) ).
thf(2075,plain,
( ( c_Type_Oty_ONT = c_Type_Oty_OBoolean )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1611]) ).
thf(2076,plain,
! [SV369: $i] :
( ( ! [SY4444: $i] :
( ( c_COMBI @ SV369 @ SY4444 )
= SV369 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1612]) ).
thf(2077,plain,
! [SV370: $i] :
( ( ! [SY4445: $i,SY4446: $i,SY4447: $i,SY4448: $i] :
( ( c_Decl_Ois__class @ SV370 @ SY4445 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY4449: $i,SY4450: $i] :
~ ( c_WellType_OWT @ SV370 @ SY4446 @ ( c_Expr_Oexp_OTryCatch @ SY4447 @ SY4445 @ SY4448 @ SY4449 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1613]) ).
thf(2078,plain,
! [SV371: $i] :
( ( ! [SY4451: $i,SY4452: $i,SY4453: $i,SY4454: $i,SY4455: $i] :
( ( c_WellTypeRT_OWTrt @ SV371 @ SY4451 @ SY4452 @ SY4453 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SY4452 @ SV371 @ SY4454 @ SY4455 @ SY4453 @ SY4451 ) )
| ! [SY4456: $i] :
~ ( c_WellTypeRT_OWTrt @ SV371 @ SY4451 @ SY4452 @ ( c_Expr_Oexp_OCond @ SY4456 @ SY4455 @ SY4453 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1614]) ).
thf(2079,plain,
! [SV372: $i] :
( ( ! [SY4457: $i,SY4458: $i,SY4459: $i,SY4460: $i,SY4461: $i] :
( ( c_WellTypeRT_OWTrt @ SV372 @ SY4457 @ SY4458 @ SY4459 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SY4458 @ SV372 @ SY4460 @ SY4459 @ SY4461 @ SY4457 ) )
| ! [SY4462: $i] :
~ ( c_WellTypeRT_OWTrt @ SV372 @ SY4457 @ SY4458 @ ( c_Expr_Oexp_OCond @ SY4462 @ SY4459 @ SY4461 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1615]) ).
thf(2080,plain,
! [SV373: $i] :
( ( ! [SY4463: $i,SY4464: $i,SY4465: $i] :
( ( c_WellType_OWT @ SV373 @ SY4463 @ ( c_Expr_Oexp_OBinOp @ SY4464 @ c_Expr_Obop_OEq @ SY4465 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY4466: $i,SY4467: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV373 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4466 ) @ SY4467 ) )
| ~ ( c_WellType_OWT @ SV373 @ SY4463 @ SY4465 @ SY4467 )
| ~ ( c_WellType_OWT @ SV373 @ SY4463 @ SY4464 @ SY4466 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1616]) ).
thf(2081,plain,
! [SV374: $i] :
( ( ! [SY4468: $i,SY4469: $i,SY4470: $i] :
( ( c_WellType_OWT @ SV374 @ SY4468 @ ( c_Expr_Oexp_OBinOp @ SY4469 @ c_Expr_Obop_OEq @ SY4470 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY4471: $i,SY4472: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV374 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4471 ) @ SY4472 ) )
| ~ ( c_WellType_OWT @ SV374 @ SY4468 @ SY4470 @ SY4471 )
| ~ ( c_WellType_OWT @ SV374 @ SY4468 @ SY4469 @ SY4472 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1617]) ).
thf(2082,plain,
! [SV375: $i] :
( ( ! [SY4473: $i,SY4474: $i,SY4475: $i,SY4476: $i] :
( ( c_Expr_Oexp_OCond @ SV375 @ SY4473 @ SY4474 @ SY4475 )
!= ( c_Expr_Oexp_OVal @ SY4476 @ SY4475 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1618]) ).
thf(2083,plain,
! [SV376: $i] :
( ( ! [SY4477: $i,SY4478: $i,SY4479: $i,SY4480: $i,SY4481: $i] :
( ( c_Expr_Oexp_OSeq @ SV376 @ SY4477 @ SY4478 )
!= ( c_Expr_Oexp_OCond @ SY4479 @ SY4480 @ SY4481 @ SY4478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1619]) ).
thf(2084,plain,
! [SV377: $i] :
( ( ! [SY4482: $i,SY4483: $i,SY4484: $i,SY4485: $i,SY4486: $i] :
( ( SV377
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SY4482 @ SY4483 @ SV377 @ SY4484 @ SY4485 @ SY4486 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SY4483 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SY4482 @ SY4483 @ SV377 @ SY4484 @ SY4485 @ SY4486 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SY4482 @ SY4483 @ SV377 @ SY4484 @ SY4485 @ SY4486 ) ) )
| ! [SY4487: $i] :
~ ( c_WellTypeRT_OWTrt @ SY4483 @ SY4486 @ SY4482 @ ( c_Expr_Oexp_OCond @ SY4487 @ SY4484 @ SY4485 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1620]) ).
thf(2085,plain,
! [SV378: $i] :
( ( ! [SY4488: $i,SY4489: $i,SY4490: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4488 ) @ SY4488 ) )
| ~ ( c_WellType_OWT @ SV378 @ SY4489 @ SY4490 @ SY4488 )
| ! [SY4491: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SY4489 @ SY4491 @ SY4488 )
| ! [SY4492: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SY4489 @ SY4492 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV378 @ SY4489 @ ( c_Expr_Oexp_OCond @ SY4492 @ SY4491 @ SY4490 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4488 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1621]) ).
thf(2086,plain,
! [SV379: $i] :
( ( ! [SY4493: $i,SY4494: $i] : ( c_Map_Omap__le @ SV379 @ SV379 @ SY4493 @ SY4494 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1622]) ).
thf(2087,plain,
! [SV380: $i] :
( ( ! [SY4495: $i,SY4496: $i,SY4497: $i] :
( ( c_Map_Omap__le @ SV380 @ SY4495 @ SY4496 @ SY4497 )
| ! [SY4498: $i] :
( ~ ( c_Map_Omap__le @ SY4498 @ SY4495 @ SY4496 @ SY4497 )
| ~ ( c_Map_Omap__le @ SV380 @ SY4498 @ SY4496 @ SY4497 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1623]) ).
thf(2088,plain,
! [SV381: $i] :
( ( ! [SY4499: $i,SY4500: $i,SY4501: $i] :
( ( c_WellType_OWT @ SV381 @ SY4499 @ SY4500 @ SY4501 )
| ! [SY4502: $i] :
( ~ ( c_Map_Omap__le @ SY4502 @ SY4499 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellType_OWT @ SV381 @ SY4502 @ SY4500 @ SY4501 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(2089,plain,
! [SV382: $i] :
( ( ! [SY4503: $i,SY4504: $i,SY4505: $i,SY4506: $i] :
( ( c_Objects_Ohext @ SV382 @ SY4503 )
| ! [SY4507: $i,SY4508: $i] :
~ ( c_BigStep_Oeval @ SY4504 @ SY4505 @ ( c_Pair @ SV382 @ SY4506 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SY4507 @ ( c_Pair @ SY4503 @ SY4508 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1625]) ).
thf(2090,plain,
! [SV383: $i] :
( ( ! [SY4509: $i,SY4510: $i,SY4511: $i,SY4512: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4509 ) @ SY4509 ) )
| ~ ( c_Progress_OWTrt_H @ SV383 @ SY4510 @ SY4511 @ SY4512 @ SY4509 )
| ! [SY4513: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SY4510 @ SY4511 @ SY4513 @ SY4509 )
| ! [SY4514: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SY4510 @ SY4511 @ SY4514 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SY4510 @ SY4511 @ ( c_Expr_Oexp_OCond @ SY4514 @ SY4513 @ SY4512 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4509 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(2091,plain,
! [SV384: $i] :
( ( ! [SY4515: $i,SY4516: $i,SY4517: $i,SY4518: $i] :
( ( c_WellType_OWT @ SV384 @ SY4515 @ SY4516 @ SY4517 )
| ! [SY4519: $i,SY4520: $i] :
~ ( c_WellType_OWT @ SV384 @ SY4515 @ ( c_Expr_Oexp_OTryCatch @ SY4516 @ SY4518 @ SY4519 @ SY4520 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4517 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(2092,plain,
! [SV385: $i] :
( ( ! [SY4521: $i,SY4522: $i,SY4523: $i,SY4524: $i] :
( ! [SY4525: $i,SY4526: $i] : ( c_WellTypeRT_OWTrt @ SV385 @ SY4521 @ SY4522 @ ( c_Expr_Oexp_OFAcc @ SY4523 @ SY4524 @ SY4525 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4526 )
| ~ ( c_WellTypeRT_OWTrt @ SV385 @ SY4521 @ SY4522 @ SY4523 @ c_Type_Oty_ONT ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1628]) ).
thf(2093,plain,
! [SV386: $i] :
( ( ! [SY4527: $i,SY4528: $i,SY4529: $i,SY4530: $i,SY4531: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SY4527 @ SV386 @ SY4528 @ SY4529 @ SY4530 @ SY4531 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SY4527 @ SV386 @ SY4528 @ SY4529 @ SY4530 @ SY4531 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SY4527 @ SV386 @ SY4528 @ SY4529 @ SY4530 @ SY4531 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SY4527 @ SV386 @ SY4528 @ SY4529 @ SY4530 @ SY4531 ) ) )
| ! [SY4532: $i] :
~ ( c_WellTypeRT_OWTrt @ SV386 @ SY4531 @ SY4527 @ ( c_Expr_Oexp_OCond @ SY4532 @ SY4529 @ SY4530 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4528 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1629]) ).
thf(2094,plain,
! [SV387: $i] :
( ( ! [SY4533: $i,SY4534: $i,SY4535: $i,SY4536: $i] :
( ! [SY4537: $i,SY4538: $i] : ( c_Progress_OWTrt_H @ SV387 @ SY4533 @ SY4534 @ ( c_Expr_Oexp_OFAcc @ SY4535 @ SY4536 @ SY4537 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4538 )
| ~ ( c_Progress_OWTrt_H @ SV387 @ SY4533 @ SY4534 @ SY4535 @ c_Type_Oty_ONT ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1630]) ).
thf(2095,plain,
! [SV388: $i] :
( ( ! [SY4539: $i,SY4540: $i,SY4541: $i] :
( ( c_WellTypeRT_OWTrt @ SV388 @ SY4539 @ SY4540 @ SY4541 @ c_Type_Oty_OBoolean )
| ! [SY4542: $i,SY4543: $i] :
~ ( c_WellTypeRT_OWTrt @ SV388 @ SY4539 @ SY4540 @ ( c_Expr_Oexp_OWhile @ SY4541 @ SY4542 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1631]) ).
thf(2096,plain,
! [SV389: $i] :
( ( ! [SY4544: $i,SY4545: $i,SY4546: $i,SY4547: $i,SY4548: $i] :
( ( c_Expr_Oexp_OCond @ SV389 @ SY4544 @ SY4545 @ SY4546 )
!= ( c_Expr_Oexp_OSeq @ SY4547 @ SY4548 @ SY4546 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1632]) ).
thf(2097,plain,
! [SV390: $i] :
( ( ! [SY4549: $i,SY4550: $i,SY4551: $i] : ( c_SmallStep_Oredp @ SV390 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ SY4549 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4550 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4551 @ SY4550 @ SY4551 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1633]) ).
thf(2098,plain,
! [SV391: $i] :
( ( ! [SY4552: $i,SY4553: $i,SY4554: $i,SY4555: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV391 @ SY4552 ) @ ( c_Conform_Osko__Conform__Xconf__def__1__1 @ SV391 @ SY4553 @ SY4554 @ SY4555 @ SY4552 ) ) @ SY4553 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV391 @ SY4554 @ SY4552 ) @ SY4555 ) @ SY4553 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1635]) ).
thf(2099,plain,
! [SV392: $i] :
( ( ! [SY4556: $i,SY4557: $i,SY4558: $i,SY4559: $i,SY4560: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SY4556 ) @ ( c_List_Olist_OCons @ SY4557 @ SY4558 @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ SY4559 @ SY4560 @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SY4556 ) @ SY4558 @ SY4560 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV392 @ SY4556 ) @ SY4557 ) @ SY4559 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1636]) ).
thf(2100,plain,
! [SV393: $i] :
( ( ! [SY4561: $i] :
( ( SV393 = SY4561 )
| ! [SY4562: $i,SY4563: $i] :
( ~ ( c_Map_Omap__le @ SY4561 @ SV393 @ SY4562 @ SY4563 )
| ~ ( c_Map_Omap__le @ SV393 @ SY4561 @ SY4562 @ SY4563 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1637]) ).
thf(2101,plain,
! [SV394: $i] :
( ( ! [SY4564: $i,SY4565: $i,SY4566: $i,SY4567: $i,SY4568: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV394 @ SY4564 @ SY4565 @ SY4566 @ SY4567 )
!= ( c_Expr_Oexp_OVal @ SY4568 @ SY4567 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1638]) ).
thf(2102,plain,
! [SV395: $i] :
( ( ! [SY4569: $i] :
( ( SV395 = c_Value_Oval_ONull )
| ! [SY4570: $i,SY4571: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SY4569 @ SY4570 @ SY4571 ) @ SV395 ) @ c_Type_Oty_ONT ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1639]) ).
thf(2103,plain,
! [SV396: $i] :
( ( ! [SY4572: $i,SY4573: $i,SY4574: $i,SY4575: $i,SY4576: $i,SY4577: $i,SY4578: $i] :
( ( c_BigStep_Oeval @ SV396 @ ( c_Expr_Oexp_OTryCatch @ SY4572 @ SY4573 @ SY4574 @ SY4575 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4576 @ ( c_Expr_Oexp_OVal @ SY4577 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4578 )
| ~ ( c_BigStep_Oeval @ SV396 @ SY4572 @ SY4576 @ ( c_Expr_Oexp_OVal @ SY4577 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4578 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1640]) ).
thf(2104,plain,
! [SV397: $i] :
( ( ! [SY4579: $i,SY4580: $i,SY4581: $i,SY4582: $i,SY4583: $i,SY4584: $i,SY4585: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV397 @ SY4579 @ SY4580 @ SY4581 @ SY4582 )
!= ( c_Expr_Oexp_OCond @ SY4583 @ SY4584 @ SY4585 @ SY4582 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1641]) ).
thf(2105,plain,
! [SV398: $i] :
( ( ! [SY4586: $i,SY4587: $i,SY4588: $i,SY4589: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4586 ) @ SY4587 ) )
| ~ ( c_WellType_OWT @ SV398 @ SY4588 @ SY4589 @ SY4587 )
| ! [SY4590: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SY4588 @ SY4590 @ SY4586 )
| ! [SY4591: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SY4588 @ SY4591 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SY4588 @ ( c_Expr_Oexp_OCond @ SY4591 @ SY4590 @ SY4589 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4587 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4587 ) @ SY4586 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1642]) ).
thf(2106,plain,
! [SV399: $i] :
( ( ! [SY4592: $i,SY4593: $i,SY4594: $i,SY4595: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4592 ) @ SY4593 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4593 ) @ SY4592 ) )
| ~ ( c_WellType_OWT @ SV399 @ SY4594 @ SY4595 @ SY4593 )
| ! [SY4596: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SY4594 @ SY4596 @ SY4592 )
| ! [SY4597: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SY4594 @ SY4597 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SY4594 @ ( c_Expr_Oexp_OCond @ SY4597 @ SY4596 @ SY4595 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4592 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1643]) ).
thf(2107,plain,
! [SV400: $i] :
( ( ! [SY4598: $i,SY4599: $i,SY4600: $i,SY4601: $i,SY4602: $i] :
( ( c_BigStep_Oeval @ SV400 @ ( c_Expr_Oexp_OSeq @ SY4598 @ SY4599 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4600 @ SY4601 @ SY4602 )
| ! [SY4603: $i] :
( ~ ( c_BigStep_Oeval @ SV400 @ SY4599 @ SY4603 @ SY4601 @ SY4602 )
| ! [SY4604: $i] :
~ ( c_BigStep_Oeval @ SV400 @ SY4598 @ SY4600 @ ( c_Expr_Oexp_OVal @ SY4604 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4603 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(2108,plain,
! [SV401: $i] :
( ( ! [SY4605: $i,SY4606: $i,SY4607: $i,SY4608: $i,SY4609: $i] :
( ( c_Progress_OWTrt_H @ SV401 @ SY4605 @ SY4606 @ ( c_Expr_Oexp_OSeq @ SY4607 @ SY4608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4609 )
| ~ ( c_Progress_OWTrt_H @ SV401 @ SY4605 @ SY4606 @ SY4608 @ SY4609 )
| ! [SY4610: $i] :
~ ( c_Progress_OWTrt_H @ SV401 @ SY4605 @ SY4606 @ SY4607 @ SY4610 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1645]) ).
thf(2109,plain,
! [SV402: $i] :
( ( ! [SY4611: $i,SY4612: $i,SY4613: $i,SY4614: $i] :
( ( c_WellTypeRT_OWTrt @ SV402 @ SY4611 @ SY4612 @ SY4613 @ c_Type_Oty_OBoolean )
| ! [SY4615: $i,SY4616: $i] :
~ ( c_WellTypeRT_OWTrt @ SV402 @ SY4611 @ SY4612 @ ( c_Expr_Oexp_OCond @ SY4613 @ SY4614 @ SY4615 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4616 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1647]) ).
thf(2110,plain,
! [SV403: $i] :
( ( ! [SY4617: $i,SY4618: $i,SY4619: $i,SY4620: $i] :
( ( c_WellType_OWT @ SV403 @ SY4617 @ SY4618 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SY4617 @ SV403 @ SY4619 @ SY4620 @ SY4618 ) )
| ! [SY4621: $i] :
~ ( c_WellType_OWT @ SV403 @ SY4617 @ ( c_Expr_Oexp_OCond @ SY4621 @ SY4620 @ SY4618 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4619 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1648]) ).
thf(2111,plain,
! [SV404: $i] :
( ( ! [SY4622: $i,SY4623: $i,SY4624: $i,SY4625: $i] :
( ( c_WellType_OWT @ SV404 @ SY4622 @ SY4623 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SY4622 @ SV404 @ SY4624 @ SY4623 @ SY4625 ) )
| ! [SY4626: $i] :
~ ( c_WellType_OWT @ SV404 @ SY4622 @ ( c_Expr_Oexp_OCond @ SY4626 @ SY4623 @ SY4625 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4624 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1649]) ).
thf(2112,plain,
! [SV405: $i] :
( ( ! [SY4627: $i,SY4628: $i,SY4629: $i,SY4630: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV405 @ SY4627 ) @ ( c_Conform_Osko__Conform__Xconfs__conv__map__1__1 @ SV405 @ SY4628 @ SY4629 @ SY4630 @ SY4627 ) @ SY4628 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV405 @ SY4629 @ SY4627 ) @ SY4630 @ SY4628 @ tc_Value_Oval @ tc_Type_Oty ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1650]) ).
thf(2113,plain,
! [SV406: $i] :
( ( ! [SY4631: $i,SY4632: $i,SY4633: $i,SY4634: $i,SY4635: $i] :
( ( SV406
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SY4631 @ SY4632 @ SV406 @ SY4633 @ SY4634 @ SY4635 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SY4632 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SY4631 @ SY4632 @ SV406 @ SY4633 @ SY4634 @ SY4635 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SY4631 @ SY4632 @ SV406 @ SY4633 @ SY4634 @ SY4635 ) ) )
| ! [SY4636: $i] :
~ ( c_WellTypeRT_OWTrt @ SY4632 @ SY4635 @ SY4631 @ ( c_Expr_Oexp_OCond @ SY4636 @ SY4633 @ SY4634 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1651]) ).
thf(2114,plain,
! [SV407: $i] :
( ( ! [SY4637: $i,SY4638: $i,SY4639: $i,SY4640: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SY4637 @ SV407 @ SY4638 @ SY4639 @ SY4640 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SY4637 @ SV407 @ SY4638 @ SY4639 @ SY4640 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SY4637 @ SV407 @ SY4638 @ SY4639 @ SY4640 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SY4637 @ SV407 @ SY4638 @ SY4639 @ SY4640 ) ) )
| ! [SY4641: $i] :
~ ( c_WellType_OWT @ SV407 @ SY4637 @ ( c_Expr_Oexp_OCond @ SY4641 @ SY4639 @ SY4640 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4638 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1652]) ).
thf(2115,plain,
! [SV408: $i] :
( ( ! [SY4642: $i,SY4643: $i,SY4644: $i,SY4645: $i] :
( ! [SY4646: $i] :
( ( c_Pair @ SV408 @ SY4642 @ SY4643 @ SY4644 )
!= ( c_Pair @ SY4645 @ SY4646 @ SY4643 @ SY4644 ) )
| ( SV408 = SY4645 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1654]) ).
thf(2116,plain,
! [SV409: $i] :
( ( ! [SY4647: $i,SY4648: $i,SY4649: $i,SY4650: $i,SY4651: $i] :
( ( ( c_Pair @ SV409 @ SY4647 @ SY4648 @ SY4649 )
!= ( c_Pair @ SY4650 @ SY4651 @ SY4648 @ SY4649 ) )
| ( SY4647 = SY4651 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1655]) ).
thf(2117,plain,
! [SV410: $i] :
( ( ! [SY4652: $i,SY4653: $i,SY4654: $i,SY4655: $i,SY4656: $i] :
( ( c_Expr_Oexp_OVal @ SV410 @ SY4652 )
!= ( c_Expr_Oexp_OTryCatch @ SY4653 @ SY4654 @ SY4655 @ SY4656 @ SY4652 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1656]) ).
thf(2118,plain,
! [SV411: $i] :
( ( ! [SY4657: $i,SY4658: $i,SY4659: $i,SY4660: $i] :
( ( c_WellType_OWT @ SV411 @ SY4657 @ ( c_Expr_Oexp_OSeq @ SY4658 @ SY4659 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4660 )
| ~ ( c_WellType_OWT @ SV411 @ SY4657 @ SY4659 @ SY4660 )
| ! [SY4661: $i] :
~ ( c_WellType_OWT @ SV411 @ SY4657 @ SY4658 @ SY4661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1657]) ).
thf(2119,plain,
! [SV412: $i] :
( ( ! [SY4662: $i,SY4663: $i,SY4664: $i,SY4665: $i,SY4666: $i,SY4667: $i] :
( ( ( c_Expr_Oexp_OCond @ SV412 @ SY4662 @ SY4663 @ SY4664 )
!= ( c_Expr_Oexp_OCond @ SY4665 @ SY4666 @ SY4667 @ SY4664 ) )
| ( SY4663 = SY4667 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1658]) ).
thf(2120,plain,
! [SV413: $i] :
( ( ! [SY4668: $i,SY4669: $i,SY4670: $i,SY4671: $i,SY4672: $i] :
( ! [SY4673: $i] :
( ( c_Expr_Oexp_OCond @ SV413 @ SY4668 @ SY4669 @ SY4670 )
!= ( c_Expr_Oexp_OCond @ SY4671 @ SY4672 @ SY4673 @ SY4670 ) )
| ( SY4668 = SY4672 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1659]) ).
thf(2121,plain,
! [SV414: $i] :
( ( ! [SY4674: $i,SY4675: $i,SY4676: $i,SY4677: $i] :
( ! [SY4678: $i,SY4679: $i] :
( ( c_Expr_Oexp_OCond @ SV414 @ SY4674 @ SY4675 @ SY4676 )
!= ( c_Expr_Oexp_OCond @ SY4677 @ SY4678 @ SY4679 @ SY4676 ) )
| ( SV414 = SY4677 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1660]) ).
thf(2122,plain,
! [SV415: $i] :
( ( ! [SY4680: $i,SY4681: $i,SY4682: $i,SY4683: $i] :
( ( SV415
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SY4680 @ SY4681 @ SV415 @ SY4682 @ SY4683 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SY4681 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SY4680 @ SY4681 @ SV415 @ SY4682 @ SY4683 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SY4680 @ SY4681 @ SV415 @ SY4682 @ SY4683 ) ) )
| ! [SY4684: $i] :
~ ( c_WellType_OWT @ SY4681 @ SY4680 @ ( c_Expr_Oexp_OCond @ SY4684 @ SY4682 @ SY4683 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1661]) ).
thf(2123,plain,
! [SV416: $i] :
( ( ! [SY4685: $i,SY4686: $i,SY4687: $i,SY4688: $i,SY4689: $i,SY4690: $i,SY4691: $i,SY4692: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV416 @ SY4685 @ SY4686 @ SY4687 @ SY4688 )
!= ( c_Expr_Oexp_OTryCatch @ SY4689 @ SY4690 @ SY4691 @ SY4692 @ SY4688 ) )
| ( SY4687 = SY4692 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1662]) ).
thf(2124,plain,
! [SV417: $i] :
( ( ! [SY4693: $i,SY4694: $i,SY4695: $i,SY4696: $i,SY4697: $i,SY4698: $i,SY4699: $i] :
( ! [SY4700: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV417 @ SY4693 @ SY4694 @ SY4695 @ SY4696 )
!= ( c_Expr_Oexp_OTryCatch @ SY4697 @ SY4698 @ SY4699 @ SY4700 @ SY4696 ) )
| ( SY4694 = SY4699 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1663]) ).
thf(2125,plain,
! [SV418: $i] :
( ( ! [SY4701: $i,SY4702: $i,SY4703: $i,SY4704: $i,SY4705: $i,SY4706: $i] :
( ! [SY4707: $i,SY4708: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV418 @ SY4701 @ SY4702 @ SY4703 @ SY4704 )
!= ( c_Expr_Oexp_OTryCatch @ SY4705 @ SY4706 @ SY4707 @ SY4708 @ SY4704 ) )
| ( SY4701 = SY4706 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1664]) ).
thf(2126,plain,
! [SV419: $i] :
( ( ! [SY4709: $i,SY4710: $i,SY4711: $i,SY4712: $i,SY4713: $i,SY4714: $i] :
( ! [SY4715: $i,SY4716: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV419 @ SY4709 @ SY4710 @ SY4711 @ SY4712 )
!= ( c_Expr_Oexp_OTryCatch @ SY4713 @ SY4714 @ SY4715 @ SY4716 @ SY4712 ) )
| ( SV419 = SY4713 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1665]) ).
thf(2127,plain,
! [SV420: $i] :
( ( ! [SY4717: $i] : ( c_List_Olist__all2 @ ( c_fequal @ SV420 ) @ SY4717 @ SY4717 @ SV420 @ SV420 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1666]) ).
thf(2128,plain,
! [SV421: $i] :
( ( ! [SY4718: $i,SY4719: $i,SY4720: $i] :
( ( c_Expr_Oexp_OVal @ SV421 @ SY4718 )
!= ( c_Expr_Oexp_OSeq @ SY4719 @ SY4720 @ SY4718 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1667]) ).
thf(2129,plain,
! [SV422: $i] :
( ( ! [SY4721: $i,SY4722: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV422 @ SY4721 @ SY4722 ) @ c_Value_Oval_ONull ) @ c_Type_Oty_ONT ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1668]) ).
thf(2130,plain,
! [SV423: $i] :
( ( ! [SY4723: $i,SY4724: $i,SY4725: $i,SY4726: $i,SY4727: $i,SY4728: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV423 @ SY4723 @ SY4724 @ SY4725 @ SY4726 )
!= ( c_Expr_Oexp_OSeq @ SY4727 @ SY4728 @ SY4726 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1669]) ).
thf(2131,plain,
! [SV424: $i] :
( ( ! [SY4729: $i,SY4730: $i,SY4731: $i,SY4732: $i,SY4733: $i,SY4734: $i] :
( ( c_Expr_Oexp_OSeq @ SV424 @ SY4729 @ SY4730 )
!= ( c_Expr_Oexp_OTryCatch @ SY4731 @ SY4732 @ SY4733 @ SY4734 @ SY4730 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1670]) ).
thf(2132,plain,
! [SV425: $i] :
( ( ! [SY4735: $i,SY4736: $i] :
( ( ( c_Expr_Oexp_OVal @ SV425 @ SY4735 )
!= ( c_Expr_Oexp_OVal @ SY4736 @ SY4735 ) )
| ( SV425 = SY4736 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1671]) ).
thf(2133,plain,
! [SV426: $i] :
( ( ! [SY4737: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV426 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ SV426 @ v_P @ SY4737 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV426 @ v_e_092_060_094isub_0622____ @ SY4737 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV426 @ ( 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)],[1672]) ).
thf(2134,plain,
! [SV427: $i] :
( ( ! [SY4738: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XIH__1 @ SV427 @ v_P @ SY4738 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SY4738 ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV427 @ v_e_092_060_094isub_0622____ @ SY4738 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV427 @ ( 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)],[1673]) ).
thf(2135,plain,
! [SV428: $i] :
( ( ! [SY4739: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV428 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__2__1 @ SV428 @ v_P @ SY4739 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV428 @ v_e_092_060_094isub_0622____ @ SY4739 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV428 @ ( 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)],[1674]) ).
thf(2136,plain,
! [SV429: $i] :
( ( ! [SY4740: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ SV429 @ v_P @ SY4740 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SY4740 ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV429 @ v_e_092_060_094isub_0622____ @ SY4740 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV429 @ ( 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)],[1675]) ).
thf(2137,plain,
! [SV430: $i] :
( ( ! [SY4741: $i,SY4742: $i,SY4743: $i,SY4744: $i,SY4745: $i] :
( ( c_WellTypeRT_OWTrt @ SV430 @ SY4741 @ SY4742 @ ( c_Expr_Oexp_OSeq @ SY4743 @ SY4744 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4745 )
| ~ ( c_WellTypeRT_OWTrt @ SV430 @ SY4741 @ SY4742 @ SY4744 @ SY4745 )
| ! [SY4746: $i] :
~ ( c_WellTypeRT_OWTrt @ SV430 @ SY4741 @ SY4742 @ SY4743 @ SY4746 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1676]) ).
thf(2138,plain,
! [SV431: $i] :
( ( ! [SY4747: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__2__1 @ SV431 @ v_P @ SY4747 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SY4747 ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV431 @ v_e_092_060_094isub_0622____ @ SY4747 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV431 @ ( 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)],[1678]) ).
thf(2139,plain,
! [SV432: $i] :
( ( ! [SY4748: $i,SY4749: $i,SY4750: $i,SY4751: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4748 ) @ SY4748 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV432 @ SY4749 @ SY4750 @ SY4751 @ SY4748 )
| ! [SY4752: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SY4749 @ SY4750 @ SY4752 @ SY4748 )
| ! [SY4753: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SY4749 @ SY4750 @ SY4753 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SY4749 @ SY4750 @ ( c_Expr_Oexp_OCond @ SY4753 @ SY4752 @ SY4751 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4748 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(2140,plain,
! [SV433: $i] :
( ( ! [SY4754: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV433 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XIH__1 @ SV433 @ v_P @ SY4754 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV433 @ v_e_092_060_094isub_0622____ @ SY4754 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV433 @ ( 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)],[1681]) ).
thf(2141,plain,
! [SV434: $i] :
( ( ! [SY4755: $i,SY4756: $i,SY4757: $i,SY4758: $i] :
( ( c_WellTypeRT_OWTrt @ SV434 @ SY4755 @ SY4756 @ SY4757 @ SY4758 )
| ! [SY4759: $i] :
( ~ ( c_Map_Omap__le @ SY4759 @ SY4756 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrt @ SV434 @ SY4755 @ SY4759 @ SY4757 @ SY4758 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1682]) ).
thf(2142,plain,
! [SV435: $i] :
( ( ! [SY4760: $i,SY4761: $i,SY4762: $i,SY4763: $i] :
( ( c_Progress_OWTrt_H @ SV435 @ SY4760 @ SY4761 @ SY4762 @ SY4763 )
| ~ ( c_WellTypeRT_OWTrt @ SV435 @ SY4760 @ SY4761 @ SY4762 @ SY4763 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1683]) ).
thf(2143,plain,
! [SV436: $i] :
( ( ! [SY4764: $i,SY4765: $i,SY4766: $i,SY4767: $i] :
( ( c_WellTypeRT_OWTrt @ SV436 @ SY4764 @ SY4765 @ SY4766 @ SY4767 )
| ~ ( c_Progress_OWTrt_H @ SV436 @ SY4764 @ SY4765 @ SY4766 @ SY4767 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1684]) ).
thf(2144,plain,
! [SV437: $i] :
( ( ! [SY4768: $i,SY4769: $i,SY4770: $i,SY4771: $i,SY4772: $i,SY4773: $i,SY4774: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV437 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SY4768 @ SY4769 @ SV437 @ SY4770 @ SY4771 @ SY4772 @ SY4773 @ SY4774 ) ) @ SY4770 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV437 @ SY4774 @ SY4769 @ ( c_Expr_Oexp_OTryCatch @ SY4772 @ SY4768 @ SY4771 @ SY4773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4770 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1685]) ).
thf(2145,plain,
! [SV438: $i] :
( ( ! [SY4775: $i,SY4776: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV438 @ SY4775 ) @ SY4776 ) @ SY4776 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1686]) ).
thf(2146,plain,
! [SV439: $i] :
( ( ! [SY4777: $i,SY4778: $i,SY4779: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SY4777 ) @ SY4778 ) @ SY4779 ) )
| ! [SY4780: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SY4777 ) @ SY4780 ) @ SY4779 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SY4777 ) @ SY4778 ) @ SY4780 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1687]) ).
thf(2147,plain,
! [SV440: $i] :
( ( ! [SY4781: $i,SY4782: $i,SY4783: $i,SY4784: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SY4781 @ SY4782 ) @ SY4783 ) @ SY4784 ) )
| ! [SY4785: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV440 @ SY4782 ) @ SY4785 ) @ SY4784 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SY4781 @ SY4782 ) @ SY4783 ) @ SY4785 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1688]) ).
thf(2148,plain,
! [SV441: $i] :
( ( ! [SY4786: $i,SY4787: $i,SY4788: $i,SY4789: $i] :
( ( c_WellTypeRT_OWTrt @ SV441 @ SY4786 @ SY4787 @ SY4788 @ SY4789 )
| ~ ( c_WellType_OWT @ SV441 @ SY4787 @ SY4788 @ SY4789 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1689]) ).
thf(2149,plain,
! [SV442: $i] :
( ( ! [SY4790: $i,SY4791: $i,SY4792: $i,SY4793: $i] :
( ( c_WellTypeRT_OWTrt @ SV442 @ SY4790 @ SY4791 @ SY4792 @ SY4793 )
| ! [SY4794: $i] :
( ~ ( c_Objects_Ohext @ SY4794 @ SY4790 )
| ~ ( c_WellTypeRT_OWTrt @ SV442 @ SY4794 @ SY4791 @ SY4792 @ SY4793 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1690]) ).
thf(2150,plain,
! [SV443: $i] :
( ( ! [SY4795: $i,SY4796: $i,SY4797: $i,SY4798: $i,SY4799: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4795 ) @ SY4796 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4796 ) @ SY4795 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV443 @ SY4797 @ SY4798 @ SY4799 @ SY4796 )
| ! [SY4800: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SY4797 @ SY4798 @ SY4800 @ SY4795 )
| ! [SY4801: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SY4797 @ SY4798 @ SY4801 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SY4797 @ SY4798 @ ( c_Expr_Oexp_OCond @ SY4801 @ SY4800 @ SY4799 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4795 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(2151,plain,
! [SV444: $i] :
( ( ! [SY4802: $i,SY4803: $i,SY4804: $i,SY4805: $i,SY4806: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4802 ) @ SY4803 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV444 @ SY4804 @ SY4805 @ SY4806 @ SY4803 )
| ! [SY4807: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SY4804 @ SY4805 @ SY4807 @ SY4802 )
| ! [SY4808: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SY4804 @ SY4805 @ SY4808 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SY4804 @ SY4805 @ ( c_Expr_Oexp_OCond @ SY4808 @ SY4807 @ SY4806 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4803 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY4803 ) @ SY4802 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(2152,plain,
( ( v_thesis____ = $true )
| ( ( ! [V_T_092_060_094isub_0622_H: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ V_T_092_060_094isub_0622_H ) @ v_T_092_060_094isub_0622____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ V_T_092_060_094isub_0622_H ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1693]) ).
thf(2153,plain,
! [SV445: $i] :
( ( ! [SY4809: $i,SY4810: $i,SY4811: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SY4809 ) @ SY4810 @ SY4811 @ tc_Type_Oty @ tc_Type_Oty )
| ! [SY4812: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SY4809 ) @ SY4812 @ SY4811 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SY4809 ) @ SY4810 @ SY4812 @ tc_Type_Oty @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1695]) ).
thf(2154,plain,
! [SV446: $i] :
( ( ! [SY4813: $i,SY4814: $i] : ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV446 @ SY4813 ) @ SY4814 @ SY4814 @ tc_Type_Oty @ tc_Type_Oty ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1696]) ).
thf(2155,plain,
! [SV447: $i] :
( ( ! [SY4815: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV447 ) @ SY4815 ) @ SY4815 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1699]) ).
thf(2156,plain,
! [SV448: $i] :
( ( ! [SY4816: $i] :
( ( SV448 = SY4816 )
| ! [SY4817: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SY4817 ) @ SV448 ) @ SY4816 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1700]) ).
thf(2157,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(2158,plain,
! [SV449: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV449 ) @ v_T_092_060_094isub_0622____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ SV449 ) )
= $true )
| ( v_thesis____ = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1703]) ).
thf(2159,plain,
! [SV450: $i,SV1: $i] :
( ( ! [SY4818: $i,SY4819: $i,SY4820: $i] :
( ( c_BigStep_Oeval @ SV1 @ ( c_Expr_Oexp_Othrow @ SV450 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4818 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY4819 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4820 )
| ~ ( c_BigStep_Oeval @ SV1 @ SV450 @ SY4818 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY4819 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4820 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1704]) ).
thf(2160,plain,
! [SV451: $i,SV2: $i] :
( ( ( ( c_Value_Oval_OAddr @ SV2 )
!= ( c_Value_Oval_OAddr @ SV451 ) )
| ( SV2 = SV451 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1705]) ).
thf(2161,plain,
! [SV452: $i,SV3: $i] :
( ( ! [SY4821: $i,SY4822: $i,SY4823: $i,SY4824: $i] :
( ( c_BigStep_Oeval @ SV3 @ ( c_Expr_Oexp_OWhile @ SV452 @ SY4821 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4822 @ ( c_Expr_Oexp_Othrow @ SY4823 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4824 )
| ! [SY4825: $i] :
( ~ ( c_BigStep_Oeval @ SV3 @ SY4821 @ SY4825 @ ( c_Expr_Oexp_Othrow @ SY4823 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4824 )
| ~ ( c_BigStep_Oeval @ SV3 @ SV452 @ SY4822 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4825 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1706]) ).
thf(2162,plain,
! [SV4: $i] :
( ( ( c_Value_Oval_OAddr @ SV4 )
= c_Value_Oval_OUnit )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1707]) ).
thf(2163,plain,
! [SV5: $i] :
( ( ( c_Value_Oval_OAddr @ SV5 )
= c_Value_Oval_ONull )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1708]) ).
thf(2164,plain,
! [SV453: $i,SV6: $i] :
( ( ! [SY4826: $i,SY4827: $i,SY4828: $i,SY4829: $i,SY4830: $i] :
( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SY4826 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4827 @ SY4828 @ SY4829 )
| ~ ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SY4826 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4830 @ SY4828 @ SY4829 )
| ! [SY4831: $i] :
( ! [SY2652: $i] :
~ ( c_BigStep_Oeval @ SV6 @ SY4826 @ SY4831 @ ( c_Expr_Oexp_OVal @ SY2652 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4830 )
| ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SY4827 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4831 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1709]) ).
thf(2165,plain,
! [SV454: $i,SV7: $i] :
( ( ! [SY4833: $i,SY4834: $i] : ( c_SmallStep_Oredp @ SV7 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV454 @ SY4833 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4834 @ SV454 @ SY4834 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1710]) ).
thf(2166,plain,
! [SV455: $i,SV8: $i] :
( ( ! [SY4835: $i,SY4836: $i,SY4837: $i,SY4838: $i,SY4839: $i] :
( ( c_BigStep_Oeval @ SV8 @ ( c_Expr_Oexp_OCond @ SV455 @ SY4835 @ SY4836 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4837 @ SY4838 @ SY4839 )
| ! [SY4840: $i] :
( ~ ( c_BigStep_Oeval @ SV8 @ SY4835 @ SY4840 @ SY4838 @ SY4839 )
| ~ ( c_BigStep_Oeval @ SV8 @ SV455 @ SY4837 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4840 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1711]) ).
thf(2167,plain,
! [SV9: $i] :
( ( c_Value_Oval_OUnit
= ( c_Value_Oval_OAddr @ SV9 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1712]) ).
thf(2168,plain,
! [SV10: $i] :
( ( c_Value_Oval_ONull
= ( c_Value_Oval_OAddr @ SV10 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(2169,plain,
! [SV456: $i,SV11: $i] :
( ( ! [SY4841: $i,SY4842: $i,SY4843: $i] : ( c_SmallStep_Oredp @ SV11 @ ( c_Expr_Oexp_OBlock @ SV456 @ SY4841 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY4842 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4843 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY4842 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4843 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1714]) ).
thf(2170,plain,
! [SV457: $i,SV12: $i] :
( ( ! [SY4844: $i,SY4845: $i,SY4846: $i,SY4847: $i] : ( c_SmallStep_Oredp @ SV12 @ ( c_Expr_Oexp_OBlock @ SV457 @ SY4844 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV457 @ ( c_Expr_Oexp_OVal @ SY4845 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY4846 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4847 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY4846 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4847 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1715]) ).
thf(2171,plain,
! [SV458: $i,SV13: $i] :
( ( ! [SY4848: $i,SY4849: $i,SY4850: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV13 @ SV458 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY4848 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4849 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY4848 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4849 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4850 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1716]) ).
thf(2172,plain,
! [SV459: $i,SV14: $i] :
( ( ! [SY4851: $i,SY4852: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV14 @ SV459 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4851 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV14 @ SY4851 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4852 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1717]) ).
thf(2173,plain,
! [SV460: $i,SV15: $i] :
( ( ! [SY4853: $i,SY4854: $i,SY4855: $i,SY4856: $i,SY4857: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4853 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY4854 @ SY4855 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY4856 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY4854 @ SY4855 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY4856 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY4858: $i] :
( ! [SY4859: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SY4858 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY4859 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY4856 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV15 @ SY4853 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4858 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY4856 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1718]) ).
thf(2174,plain,
! [SV461: $i,SV16: $i] :
( ( ! [SY4860: $i,SY4861: $i,SY4862: $i,SY4863: $i,SY4864: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV16 @ SV461 @ SY4860 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4861 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY4862 @ SY4863 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY4864 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY4865: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV461 @ SY4865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY4862 @ SY4863 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY4864 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV16 @ SY4861 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY4864 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1719]) ).
thf(2175,plain,
! [SV462: $i,SV17: $i] :
( ( ! [SY4866: $i,SY4867: $i,SY4868: $i,SY4869: $i] :
( ( c_Expr_Oexp_OBlock @ SV17 @ SV462 @ SY4866 @ SY4867 )
!= ( c_Expr_Oexp_OSeq @ SY4868 @ SY4869 @ SY4867 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1720]) ).
thf(2176,plain,
! [SV463: $i,SV18: $i] :
( ( ! [SY4870: $i,SY4871: $i,SY4872: $i] :
( ( c_Map_Omap__add @ SV18 @ ( c_Map_Omap__add @ SV463 @ SY4870 @ SY4871 @ SY4872 ) @ SY4871 @ SY4872 )
= ( c_Map_Omap__add @ ( c_Map_Omap__add @ SV18 @ SV463 @ SY4871 @ SY4872 ) @ SY4870 @ SY4871 @ SY4872 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1721]) ).
thf(2177,plain,
! [SV464: $i,SV19: $i] :
( ( ! [SY4873: $i,SY4874: $i,SY4875: $i] :
( ( c_Expr_Oexp_Othrow @ SV19 @ SV464 )
!= ( c_Expr_Oexp_OCond @ SY4873 @ SY4874 @ SY4875 @ SV464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1722]) ).
thf(2178,plain,
! [SV465: $i,SV20: $i] :
( ( ! [SY4876: $i,SY4877: $i] :
( ( c_Expr_Oexp_OWhile @ SV20 @ SV465 @ SY4876 )
!= ( c_Expr_Oexp_Othrow @ SY4877 @ SY4876 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1723]) ).
thf(2179,plain,
! [SV466: $i,SV21: $i] :
( ( ! [SY4878: $i,SY4879: $i,SY4880: $i,SY4881: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV21 @ SV466 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4878 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY4879 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4880 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY4881 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV466 @ SY4878 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY4879 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4880 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY4881 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1724]) ).
thf(2180,plain,
! [SV467: $i,SV22: $i] :
( ( ! [SY4882: $i,SY4883: $i,SY4884: $i] :
( ( c_Expr_Oexp_OBlock @ SV22 @ SV467 @ SY4882 @ SY4883 )
!= ( c_Expr_Oexp_Othrow @ SY4884 @ SY4883 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1725]) ).
thf(2181,plain,
! [SV468: $i,SV23: $i] :
( ( ! [SY4885: $i,SY4886: $i] :
( ( c_Expr_Oexp_OCast @ SV23 @ SV468 @ SY4885 )
!= ( c_Expr_Oexp_Othrow @ SY4886 @ SY4885 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1726]) ).
thf(2182,plain,
! [SV469: $i,SV24: $i] :
( ( ! [SY4887: $i,SY4888: $i,SY4889: $i,SY4890: $i,SY4891: $i] :
( ( c_Expr_Oexp_OCond @ SV24 @ SV469 @ SY4887 @ SY4888 )
!= ( c_Expr_Oexp_OBlock @ SY4889 @ SY4890 @ SY4891 @ SY4888 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1727]) ).
thf(2183,plain,
! [SV470: $i,SV25: $i] :
( ( ! [SY4892: $i,SY4893: $i,SY4894: $i] :
( ( c_Expr_Oexp_OWhile @ SV25 @ SV470 @ SY4892 )
!= ( c_Expr_Oexp_OLAss @ SY4893 @ SY4894 @ SY4892 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1728]) ).
thf(2184,plain,
! [SV471: $i,SV26: $i] :
( ( ! [SY4895: $i,SY4896: $i] :
( ( c_Expr_Oexp_OCast @ SV26 @ SV471 @ SY4895 )
!= ( c_Expr_Oexp_OVal @ SY4896 @ SY4895 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1729]) ).
thf(2185,plain,
! [SV472: $i,SV27: $i] :
( ( ! [SY4897: $i,SY4898: $i,SY4899: $i] :
( ( c_Expr_Oexp_OSeq @ SV27 @ SV472 @ SY4897 )
!= ( c_Expr_Oexp_OLAss @ SY4898 @ SY4899 @ SY4897 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1730]) ).
thf(2186,plain,
! [SV473: $i,SV28: $i] :
( ( ! [SY4900: $i,SY4901: $i,SY4902: $i,SY4903: $i] :
( ( c_Expr_Oexp_OWhile @ SV28 @ SV473 @ SY4900 )
!= ( c_Expr_Oexp_OBlock @ SY4901 @ SY4902 @ SY4903 @ SY4900 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1731]) ).
thf(2187,plain,
! [SV474: $i,SV29: $i] :
( ( ! [SY4904: $i,SY4905: $i,SY4906: $i,SY4907: $i] :
( ( c_BigStep_Oeval @ SV29 @ ( c_Expr_Oexp_OSeq @ SV474 @ SY4904 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4905 @ ( c_Expr_Oexp_Othrow @ SY4906 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4907 )
| ~ ( c_BigStep_Oeval @ SV29 @ SV474 @ SY4905 @ ( c_Expr_Oexp_Othrow @ SY4906 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4907 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1732]) ).
thf(2188,plain,
! [SV475: $i,SV30: $i] :
( ( ! [SY4908: $i,SY4909: $i,SY4910: $i,SY4911: $i,SY4912: $i] :
( ( c_Expr_Oexp_OBlock @ SV30 @ SV475 @ SY4908 @ SY4909 )
!= ( c_Expr_Oexp_OCond @ SY4910 @ SY4911 @ SY4912 @ SY4909 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1733]) ).
thf(2189,plain,
! [SV476: $i,SV31: $i] :
( ( ! [SY4913: $i,SY4914: $i,SY4915: $i,SY4916: $i] :
( ( c_Expr_Oexp_OCast @ SV31 @ SV476 @ SY4913 )
!= ( c_Expr_Oexp_OBlock @ SY4914 @ SY4915 @ SY4916 @ SY4913 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1734]) ).
thf(2190,plain,
! [SV477: $i,SV32: $i] :
( ( ! [SY4917: $i,SY4918: $i] :
( ( ( c_Map_Omap__add @ SV32 @ SV477 @ SY4917 @ SY4918 )
= ( c_Map_Omap__add @ SV477 @ SV32 @ SY4917 @ SY4918 ) )
| ~ ( c_Map_Omap__le @ SV32 @ ( c_Map_Omap__add @ SV32 @ SV477 @ SY4917 @ SY4918 ) @ SY4917 @ SY4918 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1735]) ).
thf(2191,plain,
! [SV478: $i,SV33: $i] :
( ( ! [SY4919: $i,SY4920: $i] :
( ( ( c_Map_Omap__add @ SV33 @ SV478 @ SY4919 @ SY4920 )
!= ( c_Map_Omap__add @ SV478 @ SV33 @ SY4919 @ SY4920 ) )
| ( c_Map_Omap__le @ SV33 @ ( c_Map_Omap__add @ SV33 @ SV478 @ SY4919 @ SY4920 ) @ SY4919 @ SY4920 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1736]) ).
thf(2192,plain,
! [SV479: $i,SV34: $i] :
( ( ! [SY4921: $i,SY4922: $i,SY4923: $i,SY4924: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV34 @ SV479 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4921 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY4922 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4923 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY4924 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV479 @ SY4921 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY4922 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4923 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY4924 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1737]) ).
thf(2193,plain,
! [SV480: $i,SV35: $i] :
( ( ! [SY4925: $i,SY4926: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV35 @ ( c_Expr_Oexp_Othrow @ SV480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4925 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4925 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY4926 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1738]) ).
thf(2194,plain,
! [SV481: $i,SV36: $i] :
( ( ! [SY4927: $i,SY4928: $i,SY4929: $i,SY4930: $i] :
( ( c_Expr_Oexp_OCall @ SV36 @ SV481 @ SY4927 @ SY4928 )
!= ( c_Expr_Oexp_OLAss @ SY4929 @ SY4930 @ SY4928 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1739]) ).
thf(2195,plain,
! [SV482: $i,SV37: $i] :
( ( ! [SY4931: $i,SY4932: $i,SY4933: $i,SY4934: $i,SY4935: $i] :
( ( c_SmallStep_Oredp @ SV37 @ ( c_Expr_Oexp_OCall @ SV482 @ SY4931 @ SY4932 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4933 @ ( c_Expr_Oexp_OCall @ SY4934 @ SY4931 @ SY4932 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4935 )
| ~ ( c_SmallStep_Oredp @ SV37 @ SV482 @ SY4933 @ SY4934 @ SY4935 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1740]) ).
thf(2196,plain,
! [SV483: $i,SV38: $i] :
( ( ! [SY4936: $i,SY4937: $i,SY4938: $i,SY4939: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV38 @ SV483 @ SY4936 @ SY4937 @ SY4938 )
!= ( c_Expr_Oexp_Othrow @ SY4939 @ SY4938 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1741]) ).
thf(2197,plain,
! [SV484: $i,SV39: $i] :
( ( ! [SY4940: $i,SY4941: $i,SY4942: $i,SY4943: $i,SY4944: $i] :
( ( c_Expr_Oexp_OCast @ SV39 @ SV484 @ SY4940 )
!= ( c_Expr_Oexp_OTryCatch @ SY4941 @ SY4942 @ SY4943 @ SY4944 @ SY4940 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1742]) ).
thf(2198,plain,
! [SV485: $i,SV40: $i] :
( ( ! [SY4945: $i,SY4946: $i,SY4947: $i,SY4948: $i] :
( ( c_SmallStep_Oredp @ SV40 @ ( c_Expr_Oexp_OLAss @ SV485 @ SY4945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4946 @ ( c_Expr_Oexp_OLAss @ SV485 @ SY4947 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4948 )
| ~ ( c_SmallStep_Oredp @ SV40 @ SY4945 @ SY4946 @ SY4947 @ SY4948 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1743]) ).
thf(2199,plain,
! [SV486: $i,SV41: $i] :
( ( ! [SY4949: $i,SY4950: $i,SY4951: $i,SY4952: $i,SY4953: $i,SY4954: $i] :
( ( c_Expr_Oexp_OFAss @ SV41 @ SV486 @ SY4949 @ SY4950 @ SY4951 )
!= ( c_Expr_Oexp_OCall @ SY4952 @ SY4953 @ SY4954 @ SY4951 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1744]) ).
thf(2200,plain,
! [SV487: $i,SV42: $i] :
( ( ! [SY4955: $i,SY4956: $i,SY4957: $i] :
( ( c_BigStep_Oeval @ SV42 @ ( c_Expr_Oexp_Othrow @ SV487 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4955 @ ( c_Expr_Oexp_Othrow @ SY4956 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4957 )
| ~ ( c_BigStep_Oeval @ SV42 @ SV487 @ SY4955 @ ( c_Expr_Oexp_Othrow @ SY4956 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4957 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1745]) ).
thf(2201,plain,
! [SV488: $i,SV43: $i] :
( ( ! [SY4958: $i,SY4959: $i,SY4960: $i,SY4961: $i] :
( ( c_Expr_Oexp_OCast @ SV43 @ SV488 @ SY4958 )
!= ( c_Expr_Oexp_OCond @ SY4959 @ SY4960 @ SY4961 @ SY4958 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1746]) ).
thf(2202,plain,
! [SV489: $i,SV44: $i] :
( ( ! [SY4962: $i,SY4963: $i,SY4964: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV44 @ SV489 @ SY4962 )
!= ( c_Expr_Oexp_OLAss @ SY4963 @ SY4964 @ SY4962 ) )
| ( SV489 = SY4964 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1747]) ).
thf(2203,plain,
! [SV490: $i,SV45: $i] :
( ( ! [SY4965: $i,SY4966: $i] :
( ! [SY4967: $i] :
( ( c_Expr_Oexp_OLAss @ SV45 @ SV490 @ SY4965 )
!= ( c_Expr_Oexp_OLAss @ SY4966 @ SY4967 @ SY4965 ) )
| ( SV45 = SY4966 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1748]) ).
thf(2204,plain,
! [SV491: $i,SV46: $i] :
( ( ! [SY4968: $i,SY4969: $i,SY4970: $i,SY4971: $i] :
( ( c_Expr_Oexp_OLAss @ SV46 @ SV491 @ SY4968 )
!= ( c_Expr_Oexp_OCond @ SY4969 @ SY4970 @ SY4971 @ SY4968 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1749]) ).
thf(2205,plain,
! [SV492: $i,SV47: $i] :
( ( ! [SY4972: $i,SY4973: $i,SY4974: $i,SY4975: $i,SY4976: $i] :
( ( c_Expr_Oexp_OFAss @ SV47 @ SV492 @ SY4972 @ SY4973 @ SY4974 )
!= ( c_Expr_Oexp_OCast @ SY4975 @ SY4976 @ SY4974 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1750]) ).
thf(2206,plain,
! [SV493: $i,SV48: $i] :
( ( ! [SY4977: $i,SY4978: $i,SY4979: $i,SY4980: $i,SY4981: $i,SY4982: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV48 @ SV493 @ SY4977 @ SY4978 @ SY4979 )
!= ( c_Expr_Oexp_OBlock @ SY4980 @ SY4981 @ SY4982 @ SY4979 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1751]) ).
thf(2207,plain,
! [SV494: $i,SV49: $i] :
( ( ! [SY4983: $i,SY4984: $i] :
( ( c_Expr_Oexp_OSeq @ SV49 @ SV494 @ SY4983 )
!= ( c_Expr_Oexp_Othrow @ SY4984 @ SY4983 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1752]) ).
thf(2208,plain,
! [SV495: $i,SV50: $i] :
( ( ! [SY4985: $i,SY4986: $i,SY4987: $i] :
( ( c_Expr_Oexp_OBinOp @ SV50 @ SV495 @ SY4985 @ SY4986 )
!= ( c_Expr_Oexp_Othrow @ SY4987 @ SY4986 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1753]) ).
thf(2209,plain,
! [SV496: $i,SV51: $i] :
( ( ! [SY4988: $i,SY4989: $i,SY4990: $i,SY4991: $i,SY4992: $i] :
( ( c_Expr_Oexp_OFAcc @ SV51 @ SV496 @ SY4988 @ SY4989 )
!= ( c_Expr_Oexp_OCall @ SY4990 @ SY4991 @ SY4992 @ SY4989 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1754]) ).
thf(2210,plain,
! [SV497: $i,SV52: $i] :
( ( ! [SY4993: $i,SY4994: $i,SY4995: $i,SY4996: $i,SY4997: $i,SY4998: $i] :
( ( c_BigStep_Oeval @ SV52 @ ( c_Expr_Oexp_OFAss @ SV497 @ SY4993 @ SY4994 @ SY4995 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4996 @ ( c_Expr_Oexp_Othrow @ SY4997 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4998 )
| ~ ( c_BigStep_Oeval @ SV52 @ SV497 @ SY4996 @ ( c_Expr_Oexp_Othrow @ SY4997 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4998 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1755]) ).
thf(2211,plain,
! [SV498: $i,SV53: $i] :
( ( ! [SY4999: $i,SY5000: $i,SY5001: $i,SY5002: $i] :
( ( c_Expr_Oexp_OFAcc @ SV53 @ SV498 @ SY4999 @ SY5000 )
!= ( c_Expr_Oexp_OCast @ SY5001 @ SY5002 @ SY5000 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1756]) ).
thf(2212,plain,
! [SV499: $i,SV54: $i] :
( ( ! [SY5003: $i,SY5004: $i,SY5005: $i,SY5006: $i] :
( ( c_Expr_Oexp_OSeq @ SV54 @ SV499 @ SY5003 )
!= ( c_Expr_Oexp_OBlock @ SY5004 @ SY5005 @ SY5006 @ SY5003 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1757]) ).
thf(2213,plain,
! [SV500: $i,SV55: $i] :
( ( ! [SY5007: $i,SY5008: $i] : ( c_SmallStep_Oredp @ SV55 @ ( c_Expr_Oexp_OLAss @ SV500 @ ( c_Expr_Oexp_Othrow @ SY5007 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5008 @ ( c_Expr_Oexp_Othrow @ SY5007 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5008 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1758]) ).
thf(2214,plain,
! [SV501: $i,SV56: $i] :
( ( ! [SY5009: $i,SY5010: $i] :
( ( c_Expr_Oexp_Othrow @ SV56 @ SV501 )
!= ( c_Expr_Oexp_OLAss @ SY5009 @ SY5010 @ SV501 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1759]) ).
thf(2215,plain,
! [SV502: $i,SV57: $i] :
( ( ! [SY5011: $i,SY5012: $i,SY5013: $i,SY5014: $i,SY5015: $i] :
( ( c_Expr_Oexp_OBinOp @ SV57 @ SV502 @ SY5011 @ SY5012 )
!= ( c_Expr_Oexp_OBlock @ SY5013 @ SY5014 @ SY5015 @ SY5012 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1760]) ).
thf(2216,plain,
! [SV503: $i,SV58: $i] :
( ( ! [SY5016: $i,SY5017: $i,SY5018: $i,SY5019: $i] :
( ( c_SmallStep_Oredp @ SV58 @ ( c_Expr_Oexp_OCast @ SV503 @ SY5016 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5017 @ ( c_Expr_Oexp_OCast @ SV503 @ SY5018 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5019 )
| ~ ( c_SmallStep_Oredp @ SV58 @ SY5016 @ SY5017 @ SY5018 @ SY5019 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1761]) ).
thf(2217,plain,
! [SV504: $i,SV59: $i] :
( ( ! [SY5020: $i,SY5021: $i,SY5022: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SY5020 ) @ SY5021 @ SY5022 @ SV504 @ SY5020 )
| ! [SY5023: $i,SY5024: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SY5020 ) @ ( c_List_Olist_OCons @ SY5023 @ SY5021 @ SV504 ) @ ( c_List_Olist_OCons @ SY5024 @ SY5022 @ SY5020 ) @ SV504 @ SY5020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1762]) ).
thf(2218,plain,
! [SV505: $i,SV60: $i] :
( ( ! [SY5025: $i,SY5026: $i,SY5027: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ SV60 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV505 @ SY5025 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5026 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV60 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5026 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5027 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1763]) ).
thf(2219,plain,
! [SV506: $i,SV61: $i] :
( ( ! [SY5028: $i,SY5029: $i,SY5030: $i,SY5031: $i,SY5032: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV61 @ SV506 @ SY5028 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5029 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5030 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5031 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5032 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV61 @ SY5029 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5030 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5031 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5032 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1764]) ).
thf(2220,plain,
! [SV507: $i,SV62: $i] :
( ( ! [SY5033: $i,SY5034: $i,SY5035: $i,SY5036: $i,SY5037: $i] :
( ( c_BigStep_Oeval @ SV62 @ ( c_Expr_Oexp_OFAcc @ SV507 @ SY5033 @ SY5034 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5035 @ ( c_Expr_Oexp_Othrow @ SY5036 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5037 )
| ~ ( c_BigStep_Oeval @ SV62 @ SV507 @ SY5035 @ ( c_Expr_Oexp_Othrow @ SY5036 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5037 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1765]) ).
thf(2221,plain,
! [SV508: $i,SV63: $i] :
( ( ! [SY5038: $i] :
( ( c_Expr_Oexp_OVal @ SV63 @ SV508 )
!= ( c_Expr_Oexp_Othrow @ SY5038 @ SV508 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1766]) ).
thf(2222,plain,
! [SV509: $i,SV64: $i] :
( ( ! [SY5039: $i,SY5040: $i,SY5041: $i,SY5042: $i] :
( ( c_Expr_Oexp_OBlock @ SV64 @ SV509 @ SY5039 @ SY5040 )
!= ( c_Expr_Oexp_OLAss @ SY5041 @ SY5042 @ SY5040 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1767]) ).
thf(2223,plain,
! [SV510: $i,SV65: $i] :
( ( ! [SY5043: $i,SY5044: $i,SY5045: $i] :
( ( c_Expr_Oexp_OVal @ SV65 @ SV510 )
!= ( c_Expr_Oexp_OCall @ SY5043 @ SY5044 @ SY5045 @ SV510 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1768]) ).
thf(2224,plain,
! [SV511: $i,SV66: $i] :
( ( ! [SY5046: $i,SY5047: $i,SY5048: $i,SY5049: $i,SY5050: $i,SY5051: $i] :
( ( c_Expr_Oexp_OCall @ SV66 @ SV511 @ SY5046 @ SY5047 )
!= ( c_Expr_Oexp_OTryCatch @ SY5048 @ SY5049 @ SY5050 @ SY5051 @ SY5047 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1769]) ).
thf(2225,plain,
! [SV512: $i,SV67: $i] :
( ( ! [SY5052: $i,SY5053: $i,SY5054: $i] :
( ( c_Expr_Oexp_OCast @ SV67 @ SV512 @ SY5052 )
!= ( c_Expr_Oexp_OSeq @ SY5053 @ SY5054 @ SY5052 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1770]) ).
thf(2226,plain,
! [SV513: $i,SV68: $i] :
( ( ! [SY5055: $i,SY5056: $i,SY5057: $i] :
( ( c_Expr_Oexp_OVal @ SV68 @ SV513 )
!= ( c_Expr_Oexp_OBlock @ SY5055 @ SY5056 @ SY5057 @ SV513 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1771]) ).
thf(2227,plain,
! [SV514: $i,SV69: $i] :
( ( ! [SY5058: $i,SY5059: $i] :
( ( c_Expr_Oexp_OVal @ SV69 @ SV514 )
!= ( c_Expr_Oexp_OCast @ SY5058 @ SY5059 @ SV514 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1772]) ).
thf(2228,plain,
! [SV515: $i,SV70: $i] :
( ( ! [SY5060: $i,SY5061: $i] :
( ( c_Expr_Oexp_Othrow @ SV70 @ SV515 )
!= ( c_Expr_Oexp_OWhile @ SY5060 @ SY5061 @ SV515 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1773]) ).
thf(2229,plain,
! [SV516: $i,SV71: $i] :
( ( ! [SY5062: $i,SY5063: $i,SY5064: $i,SY5065: $i,SY5066: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV71 @ SV516 @ SY5062 @ SY5063 )
!= ( c_Expr_Oexp_OBlock @ SY5064 @ SY5065 @ SY5066 @ SY5063 ) )
| ( SY5062 = SY5066 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1774]) ).
thf(2230,plain,
! [SV517: $i,SV72: $i] :
( ( ! [SY5067: $i,SY5068: $i,SY5069: $i,SY5070: $i] :
( ! [SY5071: $i] :
( ( c_Expr_Oexp_OBlock @ SV72 @ SV517 @ SY5067 @ SY5068 )
!= ( c_Expr_Oexp_OBlock @ SY5069 @ SY5070 @ SY5071 @ SY5068 ) )
| ( SV517 = SY5070 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1775]) ).
thf(2231,plain,
! [SV518: $i,SV73: $i] :
( ( ! [SY5072: $i,SY5073: $i,SY5074: $i] :
( ! [SY5075: $i,SY5076: $i] :
( ( c_Expr_Oexp_OBlock @ SV73 @ SV518 @ SY5072 @ SY5073 )
!= ( c_Expr_Oexp_OBlock @ SY5074 @ SY5075 @ SY5076 @ SY5073 ) )
| ( SV73 = SY5074 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1776]) ).
thf(2232,plain,
! [SV519: $i,SV74: $i] :
( ( ! [SY5077: $i,SY5078: $i,SY5079: $i] :
( ( c_Expr_Oexp_OCast @ SV74 @ SV519 @ SY5077 )
!= ( c_Expr_Oexp_OLAss @ SY5078 @ SY5079 @ SY5077 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1777]) ).
thf(2233,plain,
! [SV520: $i,SV75: $i] :
( ( ! [SY5080: $i,SY5081: $i,SY5082: $i,SY5083: $i,SY5084: $i,SY5085: $i] :
( ( c_Expr_Oexp_OBlock @ SV75 @ SV520 @ SY5080 @ SY5081 )
!= ( c_Expr_Oexp_OTryCatch @ SY5082 @ SY5083 @ SY5084 @ SY5085 @ SY5081 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1778]) ).
thf(2234,plain,
! [SV521: $i,SV76: $i] :
( ( ! [SY5086: $i,SY5087: $i] :
( ( SV76
= ( c_Type_Oty_OClass @ SV521 ) )
| ! [SY5088: $i,SY5089: $i] :
~ ( c_WellTypeRT_OWTrt @ SY5086 @ SY5087 @ SY5088 @ ( c_Expr_Oexp_OCast @ SV521 @ SY5089 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1779]) ).
thf(2235,plain,
! [SV522: $i,SV77: $i] :
( ( ! [SY5090: $i,SY5091: $i,SY5092: $i,SY5093: $i] :
( ( c_Expr_Oexp_OCond @ SV77 @ SV522 @ SY5090 @ SY5091 )
!= ( c_Expr_Oexp_OLAss @ SY5092 @ SY5093 @ SY5091 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1780]) ).
thf(2236,plain,
! [SV523: $i,SV78: $i] :
( ( ! [SY5094: $i,SY5095: $i,SY5096: $i,SY5097: $i,SY5098: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV78 @ SV523 @ SY5094 @ SY5095 @ SY5096 )
!= ( c_Expr_Oexp_OLAss @ SY5097 @ SY5098 @ SY5096 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1781]) ).
thf(2237,plain,
! [SV524: $i,SV79: $i] :
( ( ! [SY5099: $i,SY5100: $i,SY5101: $i,SY5102: $i] :
( ( c_Expr_Oexp_OWhile @ SV79 @ SV524 @ SY5099 )
!= ( c_Expr_Oexp_OCall @ SY5100 @ SY5101 @ SY5102 @ SY5099 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1782]) ).
thf(2238,plain,
! [SV525: $i,SV80: $i] :
( ( ! [SY5103: $i,SY5104: $i,SY5105: $i,SY5106: $i] : ( c_SmallStep_Oredp @ SV80 @ ( c_Expr_Oexp_OBlock @ SV525 @ SY5103 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV525 @ ( c_Expr_Oexp_OVal @ SY5104 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ SY5105 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5106 @ ( c_Expr_Oexp_OVal @ SY5105 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1783]) ).
thf(2239,plain,
! [SV526: $i,SV81: $i] :
( ( ! [SY5107: $i,SY5108: $i] :
( ( c_Decl_Ois__class @ SV81 @ SV526 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY5109: $i,SY5110: $i] :
~ ( c_WellTypeRT_OWTrt @ SV81 @ SY5107 @ SY5108 @ ( c_Expr_Oexp_OCast @ SV526 @ SY5109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(2240,plain,
! [SV527: $i,SV82: $i] :
( ( ! [SY5111: $i,SY5112: $i,SY5113: $i,SY5114: $i] :
( ( c_Expr_Oexp_OSeq @ SV82 @ SV527 @ SY5111 )
!= ( c_Expr_Oexp_OCall @ SY5112 @ SY5113 @ SY5114 @ SY5111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1785]) ).
thf(2241,plain,
! [SV528: $i,SV83: $i] :
( ( ! [SY5115: $i,SY5116: $i,SY5117: $i,SY5118: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV83 @ SV528 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV83 @ ( c_Expr_Oexp_OVal @ SY5115 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY5116 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5117 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY5116 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5117 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5118 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1786]) ).
thf(2242,plain,
! [SV529: $i,SV84: $i] :
( ( ! [SY5119: $i,SY5120: $i,SY5121: $i,SY5122: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV84 @ SV529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5119 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5120 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5121 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5122 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY5123: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV529 @ SY5123 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5120 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5121 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5122 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV84 @ SY5119 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5123 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5122 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1787]) ).
thf(2243,plain,
! [SV530: $i,SV85: $i] :
( ( ! [SY5124: $i,SY5125: $i,SY5126: $i] :
( ( c_Expr_Oexp_OCond @ SV85 @ SV530 @ SY5124 @ SY5125 )
!= ( c_Expr_Oexp_Othrow @ SY5126 @ SY5125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1788]) ).
thf(2244,plain,
! [SV531: $i,SV86: $i] :
( ( ! [SY5127: $i,SY5128: $i,SY5129: $i,SY5130: $i] :
( ( c_Expr_Oexp_OLAss @ SV86 @ SV531 @ SY5127 )
!= ( c_Expr_Oexp_OBlock @ SY5128 @ SY5129 @ SY5130 @ SY5127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1789]) ).
thf(2245,plain,
! [SV532: $i,SV87: $i] :
( ( ! [SY5131: $i,SY5132: $i,SY5133: $i,SY5134: $i] :
( ( c_Expr_Oexp_OCast @ SV87 @ SV532 @ SY5131 )
!= ( c_Expr_Oexp_OBinOp @ SY5132 @ SY5133 @ SY5134 @ SY5131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1790]) ).
thf(2246,plain,
! [SV533: $i,SV88: $i] :
( ( ! [SY5135: $i] :
( ( c_Decl_Ois__class @ SV88 @ SV533 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY5136: $i,SY5137: $i] :
~ ( c_WellType_OWT @ SV88 @ SY5135 @ ( c_Expr_Oexp_OCast @ SV533 @ SY5136 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1791]) ).
thf(2247,plain,
! [SV534: $i,SV89: $i] :
( ( ! [SY5138: $i,SY5139: $i,SY5140: $i,SY5141: $i,SY5142: $i] :
( ( c_Expr_Oexp_OBlock @ SV89 @ SV534 @ SY5138 @ SY5139 )
!= ( c_Expr_Oexp_OBinOp @ SY5140 @ SY5141 @ SY5142 @ SY5139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1792]) ).
thf(2248,plain,
! [SV535: $i,SV90: $i] :
( ( ! [SY5143: $i,SY5144: $i,SY5145: $i] :
( ( c_BigStep_Oeval @ SV90 @ ( c_Expr_Oexp_OWhile @ SV535 @ SY5143 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5144 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5145 )
| ~ ( c_BigStep_Oeval @ SV90 @ SV535 @ SY5144 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(2249,plain,
! [SV536: $i,SV91: $i] :
( ( ! [SY5146: $i,SY5147: $i] :
( ( c_Expr_Oexp_OVal @ SV91 @ SV536 )
!= ( c_Expr_Oexp_OLAss @ SY5146 @ SY5147 @ SV536 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1794]) ).
thf(2250,plain,
! [SV537: $i,SV92: $i] :
( ( ! [SY5148: $i] :
( ( SV92
= ( c_Type_Oty_OClass @ SV537 ) )
| ! [SY5149: $i,SY5150: $i] :
~ ( c_WellType_OWT @ SY5148 @ SY5149 @ ( c_Expr_Oexp_OCast @ SV537 @ SY5150 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1795]) ).
thf(2251,plain,
! [SV538: $i,SV93: $i] :
( ( ! [SY5151: $i] : ( c_SmallStep_Oredp @ SV93 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_Othrow @ SV538 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5151 @ ( c_Expr_Oexp_Othrow @ SV538 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1796]) ).
thf(2252,plain,
! [SV539: $i,SV94: $i] :
( ( ! [SY5152: $i,SY5153: $i,SY5154: $i,SY5155: $i,SY5156: $i] :
( ( c_BigStep_Oeval @ SV94 @ ( c_Expr_Oexp_OCall @ SV539 @ SY5152 @ SY5153 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5154 @ ( c_Expr_Oexp_Othrow @ SY5155 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5156 )
| ~ ( c_BigStep_Oeval @ SV94 @ SV539 @ SY5154 @ ( c_Expr_Oexp_Othrow @ SY5155 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1797]) ).
thf(2253,plain,
! [SV540: $i,SV95: $i] :
( ( ! [SY5157: $i,SY5158: $i] :
( ( c_Expr_Oexp_OLAss @ SV95 @ SV540 @ SY5157 )
!= ( c_Expr_Oexp_Othrow @ SY5158 @ SY5157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1798]) ).
thf(2254,plain,
! [SV541: $i,SV96: $i] :
( ( ! [SY5159: $i,SY5160: $i,SY5161: $i,SY5162: $i] :
( ( c_Expr_Oexp_OBinOp @ SV96 @ SV541 @ SY5159 @ SY5160 )
!= ( c_Expr_Oexp_OCast @ SY5161 @ SY5162 @ SY5160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1799]) ).
thf(2255,plain,
! [SV542: $i,SV97: $i] :
( ( ! [SY5163: $i,SY5164: $i] :
( ( c_Map_Omap__le @ SV97 @ SV542 @ SY5163 @ SY5164 )
| ! [SY5165: $i] :
~ ( c_Map_Omap__le @ ( c_Map_Omap__add @ SY5165 @ SV97 @ SY5163 @ SY5164 ) @ SV542 @ SY5163 @ SY5164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1800]) ).
thf(2256,plain,
! [SV543: $i,SV98: $i] :
( ( ! [SY5166: $i,SY5167: $i,SY5168: $i] :
( ( c_Expr_Oexp_OLAss @ SV98 @ SV543 @ SY5166 )
!= ( c_Expr_Oexp_OSeq @ SY5167 @ SY5168 @ SY5166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1801]) ).
thf(2257,plain,
! [SV544: $i,SV99: $i] :
( ( ! [SY5169: $i,SY5170: $i,SY5171: $i] : ( c_SmallStep_Oredp @ SV99 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ SV544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5169 @ SY5170 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5171 @ ( c_Expr_Oexp_Othrow @ SV544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1802]) ).
thf(2258,plain,
! [SV545: $i,SV100: $i] :
( ( ! [SY5172: $i,SY5173: $i,SY5174: $i,SY5175: $i,SY5176: $i] :
( ( c_Expr_Oexp_OBinOp @ SV100 @ SV545 @ SY5172 @ SY5173 )
!= ( c_Expr_Oexp_OCall @ SY5174 @ SY5175 @ SY5176 @ SY5173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1803]) ).
thf(2259,plain,
! [SV546: $i,SV101: $i] :
( ( ! [SY5177: $i,SY5178: $i,SY5179: $i,SY5180: $i] :
( ( c_Expr_Oexp_OLAss @ SV101 @ SV546 @ SY5177 )
!= ( c_Expr_Oexp_OBinOp @ SY5178 @ SY5179 @ SY5180 @ SY5177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1804]) ).
thf(2260,plain,
! [SV547: $i,SV102: $i] :
( ( ! [SY5181: $i,SY5182: $i,SY5183: $i,SY5184: $i,SY5185: $i] :
( ( c_Expr_Oexp_OCall @ SV102 @ SV547 @ SY5181 @ SY5182 )
!= ( c_Expr_Oexp_OCond @ SY5183 @ SY5184 @ SY5185 @ SY5182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1805]) ).
thf(2261,plain,
! [SV548: $i,SV103: $i] :
( ( ! [SY5186: $i,SY5187: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV103 @ ( c_Expr_Oexp_Othrow @ SV548 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5186 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV548 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5186 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5187 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1806]) ).
thf(2262,plain,
! [SV549: $i,SV104: $i] :
( ( ! [SY5188: $i,SY5189: $i,SY5190: $i,SY5191: $i,SY5192: $i] :
( ( c_Expr_Oexp_OCall @ SV104 @ SV549 @ SY5188 @ SY5189 )
!= ( c_Expr_Oexp_OBlock @ SY5190 @ SY5191 @ SY5192 @ SY5189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1807]) ).
thf(2263,plain,
! [SV550: $i,SV105: $i] :
( ( ! [SY5193: $i,SY5194: $i,SY5195: $i] : ( c_SmallStep_Oredp @ SV105 @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ SV550 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5193 @ SY5194 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5195 @ ( c_Expr_Oexp_Othrow @ SV550 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1808]) ).
thf(2264,plain,
! [SV551: $i,SV106: $i] :
( ( ! [SY5196: $i,SY5197: $i,SY5198: $i,SY5199: $i,SY5200: $i] :
( ( c_BigStep_Oeval @ SV106 @ ( c_Expr_Oexp_OCond @ SV551 @ SY5196 @ SY5197 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5198 @ SY5199 @ SY5200 )
| ! [SY5201: $i] :
( ~ ( c_BigStep_Oeval @ SV106 @ SY5197 @ SY5201 @ SY5199 @ SY5200 )
| ~ ( c_BigStep_Oeval @ SV106 @ SV551 @ SY5198 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1809]) ).
thf(2265,plain,
! [SV552: $i,SV107: $i] :
( ( ! [SY5202: $i,SY5203: $i,SY5204: $i,SY5205: $i] :
( ( c_Expr_Oexp_OCall @ SV107 @ SV552 @ SY5202 @ SY5203 )
!= ( c_Expr_Oexp_OSeq @ SY5204 @ SY5205 @ SY5203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1810]) ).
thf(2266,plain,
! [SV553: $i,SV108: $i] :
( ( ! [SY5206: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV108 @ SV553 )
!= ( c_Expr_Oexp_Othrow @ SY5206 @ SV553 ) )
| ( SV108 = SY5206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1811]) ).
thf(2267,plain,
! [SV554: $i,SV109: $i] :
( ( ! [SY5207: $i,SY5208: $i,SY5209: $i,SY5210: $i] :
( ( c_Expr_Oexp_OFAcc @ SV109 @ SV554 @ SY5207 @ SY5208 )
!= ( c_Expr_Oexp_OLAss @ SY5209 @ SY5210 @ SY5208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1812]) ).
thf(2268,plain,
! [SV555: $i,SV110: $i] :
( ( ! [SY5211: $i,SY5212: $i,SY5213: $i,SY5214: $i,SY5215: $i] :
( ( c_Expr_Oexp_OLAss @ SV110 @ SV555 @ SY5211 )
!= ( c_Expr_Oexp_OFAss @ SY5212 @ SY5213 @ SY5214 @ SY5215 @ SY5211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1813]) ).
thf(2269,plain,
! [SV556: $i,SV111: $i] :
( ( ! [SY5216: $i,SY5217: $i,SY5218: $i,SY5219: $i] :
( ( c_BigStep_Oeval @ SV111 @ ( c_Expr_Oexp_OLAss @ SV556 @ SY5216 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5217 @ ( c_Expr_Oexp_Othrow @ SY5218 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5219 )
| ~ ( c_BigStep_Oeval @ SV111 @ SY5216 @ SY5217 @ ( c_Expr_Oexp_Othrow @ SY5218 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1814]) ).
thf(2270,plain,
! [SV557: $i,SV112: $i] :
( ( ! [SY5220: $i,SY5221: $i,SY5222: $i] :
( ( c_Expr_Oexp_OCall @ SV112 @ SV557 @ SY5220 @ SY5221 )
!= ( c_Expr_Oexp_Othrow @ SY5222 @ SY5221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1815]) ).
thf(2271,plain,
! [SV558: $i,SV113: $i] :
( ( ! [SY5223: $i,SY5224: $i,SY5225: $i,SY5226: $i,SY5227: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV113 @ SV558 @ SY5223 @ SY5224 @ SY5225 )
!= ( c_Expr_Oexp_OCast @ SY5226 @ SY5227 @ SY5225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1816]) ).
thf(2272,plain,
! [SV559: $i,SV114: $i] :
( ( ! [SY5228: $i,SY5229: $i,SY5230: $i,SY5231: $i,SY5232: $i] :
( ( c_Expr_Oexp_OCast @ SV114 @ SV559 @ SY5228 )
!= ( c_Expr_Oexp_OFAss @ SY5229 @ SY5230 @ SY5231 @ SY5232 @ SY5228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1817]) ).
thf(2273,plain,
! [SV560: $i,SV115: $i] :
( ( ! [SY5233: $i,SY5234: $i,SY5235: $i,SY5236: $i] :
( ( c_Expr_Oexp_OCond @ SV115 @ SV560 @ SY5233 @ SY5234 )
!= ( c_Expr_Oexp_OCast @ SY5235 @ SY5236 @ SY5234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(2274,plain,
! [SV561: $i,SV116: $i] :
( ( ! [SY5237: $i,SY5238: $i,SY5239: $i] :
( ( c_Expr_Oexp_OCast @ SV116 @ SV561 @ SY5237 )
!= ( c_Expr_Oexp_OWhile @ SY5238 @ SY5239 @ SY5237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1819]) ).
thf(2275,plain,
! [SV562: $i,SV117: $i] :
( ( ! [SY5240: $i,SY5241: $i,SY5242: $i] :
( ( c_Expr_Oexp_OLAss @ SV117 @ SV562 @ SY5240 )
!= ( c_Expr_Oexp_OCast @ SY5241 @ SY5242 @ SY5240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1820]) ).
thf(2276,plain,
! [SV563: $i,SV118: $i] :
( ( ! [SY5243: $i,SY5244: $i,SY5245: $i,SY5246: $i] :
( ( c_Expr_Oexp_OBlock @ SV118 @ SV563 @ SY5243 @ SY5244 )
!= ( c_Expr_Oexp_OWhile @ SY5245 @ SY5246 @ SY5244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1821]) ).
thf(2277,plain,
! [SV564: $i,SV119: $i] :
( ( ! [SY5247: $i,SY5248: $i,SY5249: $i,SY5250: $i,SY5251: $i,SY5252: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV119 @ SV564 @ SY5247 @ SY5248 @ SY5249 )
!= ( c_Expr_Oexp_OCall @ SY5250 @ SY5251 @ SY5252 @ SY5249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1822]) ).
thf(2278,plain,
! [SV565: $i,SV120: $i] :
( ( ! [SY5253: $i,SY5254: $i,SY5255: $i,SY5256: $i,SY5257: $i] :
( ( c_Expr_Oexp_OCond @ SV120 @ SV565 @ SY5253 @ SY5254 )
!= ( c_Expr_Oexp_OCall @ SY5255 @ SY5256 @ SY5257 @ SY5254 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1823]) ).
thf(2279,plain,
! [SV566: $i,SV121: $i] :
( ( ! [SY5258: $i,SY5259: $i] :
( ( c_Expr_Oexp_Othrow @ SV121 @ SV566 )
!= ( c_Expr_Oexp_OSeq @ SY5258 @ SY5259 @ SV566 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1824]) ).
thf(2280,plain,
! [SV567: $i,SV122: $i] :
( ( ! [SY5260: $i,SY5261: $i,SY5262: $i,SY5263: $i,SY5264: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV122 @ SV567 @ SY5260 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5261 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5262 @ SY5263 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5264 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3199: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY5260 @ SY3199 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5262 @ SY5263 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5264 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV122 @ SY5261 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3199 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5264 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1825]) ).
thf(2281,plain,
! [SV568: $i,SV123: $i] :
( ( ! [SY5266: $i,SY5267: $i,SY5268: $i,SY5269: $i,SY5270: $i] :
( ( c_Expr_Oexp_OFAss @ SV123 @ SV568 @ SY5266 @ SY5267 @ SY5268 )
!= ( c_Expr_Oexp_OLAss @ SY5269 @ SY5270 @ SY5268 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1826]) ).
thf(2282,plain,
! [SV569: $i,SV124: $i] :
( ( ! [SY5271: $i,SY5272: $i,SY5273: $i,SY5274: $i] :
( ( c_Expr_Oexp_OLAss @ SV124 @ SV569 @ SY5271 )
!= ( c_Expr_Oexp_OCall @ SY5272 @ SY5273 @ SY5274 @ SY5271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1827]) ).
thf(2283,plain,
! [SV570: $i,SV125: $i] :
( ( ! [SY5275: $i,SY5276: $i,SY5277: $i,SY5278: $i] :
( ( c_Expr_Oexp_OLAss @ SV125 @ SV570 @ SY5275 )
!= ( c_Expr_Oexp_OFAcc @ SY5276 @ SY5277 @ SY5278 @ SY5275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1828]) ).
thf(2284,plain,
! [SV571: $i,SV126: $i] :
( ( ! [SY5279: $i,SY5280: $i,SY5281: $i,SY5282: $i,SY5283: $i] :
( ( c_Expr_Oexp_OCall @ SV126 @ SV571 @ SY5279 @ SY5280 )
!= ( c_Expr_Oexp_OBinOp @ SY5281 @ SY5282 @ SY5283 @ SY5280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1829]) ).
thf(2285,plain,
! [SV572: $i,SV127: $i] :
( ( ! [SY5284: $i,SY5285: $i,SY5286: $i,SY5287: $i,SY5288: $i] :
( ( c_BigStep_Oeval @ SV127 @ ( c_Expr_Oexp_OCond @ SV572 @ SY5284 @ SY5285 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5286 @ ( c_Expr_Oexp_Othrow @ SY5287 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5288 )
| ~ ( c_BigStep_Oeval @ SV127 @ SV572 @ SY5286 @ ( c_Expr_Oexp_Othrow @ SY5287 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1830]) ).
thf(2286,plain,
! [SV573: $i,SV128: $i] :
( ( ! [SY5289: $i,SY5290: $i] : ( c_SmallStep_Oredp @ SV128 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ SV573 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5289 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5290 @ ( c_Expr_Oexp_Othrow @ SV573 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5290 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1831]) ).
thf(2287,plain,
! [SV574: $i,SV129: $i] :
( ( ! [SY5291: $i,SY5292: $i,SY5293: $i,SY5294: $i] :
( ( c_Expr_Oexp_OCast @ SV129 @ SV574 @ SY5291 )
!= ( c_Expr_Oexp_OCall @ SY5292 @ SY5293 @ SY5294 @ SY5291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1832]) ).
thf(2288,plain,
! [SV575: $i,SV130: $i] :
( ( ! [SY5295: $i,SY5296: $i,SY5297: $i,SY5298: $i] :
( ( c_Expr_Oexp_OCast @ SV130 @ SV575 @ SY5295 )
!= ( c_Expr_Oexp_OFAcc @ SY5296 @ SY5297 @ SY5298 @ SY5295 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1833]) ).
thf(2289,plain,
! [SV576: $i,SV131: $i] :
( ( ! [SY5299: $i,SY5300: $i,SY5301: $i,SY5302: $i] :
( ( c_BigStep_Oeval @ SV131 @ ( c_Expr_Oexp_OWhile @ SV576 @ SY5299 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5300 @ ( c_Expr_Oexp_Othrow @ SY5301 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5302 )
| ~ ( c_BigStep_Oeval @ SV131 @ SV576 @ SY5300 @ ( c_Expr_Oexp_Othrow @ SY5301 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1834]) ).
thf(2290,plain,
! [SV577: $i,SV132: $i] :
( ( ! [SY5303: $i,SY5304: $i,SY5305: $i,SY5306: $i,SY5307: $i,SY5308: $i] :
( ( c_Expr_Oexp_OBlock @ SV132 @ SV577 @ SY5303 @ SY5304 )
!= ( c_Expr_Oexp_OFAss @ SY5305 @ SY5306 @ SY5307 @ SY5308 @ SY5304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1835]) ).
thf(2291,plain,
! [SV578: $i,SV133: $i] :
( ( ! [SY5309: $i,SY5310: $i,SY5311: $i,SY5312: $i] :
( ( c_Expr_Oexp_Othrow @ SV133 @ SV578 )
!= ( c_Expr_Oexp_OTryCatch @ SY5309 @ SY5310 @ SY5311 @ SY5312 @ SV578 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1836]) ).
thf(2292,plain,
! [SV579: $i,SV134: $i] :
( ( ! [SY5313: $i,SY5314: $i,SY5315: $i,SY5316: $i] :
( ( c_BigStep_Oeval @ SV134 @ ( c_Expr_Oexp_OCast @ SV579 @ SY5313 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5314 @ ( c_Expr_Oexp_Othrow @ SY5315 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5316 )
| ~ ( c_BigStep_Oeval @ SV134 @ SY5313 @ SY5314 @ ( c_Expr_Oexp_Othrow @ SY5315 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1837]) ).
thf(2293,plain,
! [SV580: $i,SV135: $i] :
( ( ! [SY5317: $i,SY5318: $i,SY5319: $i] :
( ( c_Expr_Oexp_OBlock @ SV135 @ SV580 @ SY5317 @ SY5318 )
!= ( c_Expr_Oexp_OVal @ SY5319 @ SY5318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1838]) ).
thf(2294,plain,
! [SV581: $i,SV136: $i] :
( ( ! [SY5320: $i,SY5321: $i,SY5322: $i] : ( c_SmallStep_Oredp @ SV136 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5320 @ SY5321 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5322 @ ( c_Expr_Oexp_Othrow @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5322 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1839]) ).
thf(2295,plain,
! [SV582: $i,SV137: $i] :
( ( ! [SY5323: $i,SY5324: $i,SY5325: $i] :
( ! [SY5326: $i,SY5327: $i] :
( ( c_Expr_Oexp_OCall @ SV137 @ SV582 @ SY5323 @ SY5324 )
!= ( c_Expr_Oexp_OCall @ SY5325 @ SY5326 @ SY5327 @ SY5324 ) )
| ( SV137 = SY5325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1840]) ).
thf(2296,plain,
! [SV583: $i,SV138: $i] :
( ( ! [SY5328: $i,SY5329: $i,SY5330: $i,SY5331: $i] :
( ! [SY5332: $i] :
( ( c_Expr_Oexp_OCall @ SV138 @ SV583 @ SY5328 @ SY5329 )
!= ( c_Expr_Oexp_OCall @ SY5330 @ SY5331 @ SY5332 @ SY5329 ) )
| ( SV583 = SY5331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1841]) ).
thf(2297,plain,
! [SV584: $i,SV139: $i] :
( ( ! [SY5333: $i,SY5334: $i,SY5335: $i,SY5336: $i,SY5337: $i] :
( ( ( c_Expr_Oexp_OCall @ SV139 @ SV584 @ SY5333 @ SY5334 )
!= ( c_Expr_Oexp_OCall @ SY5335 @ SY5336 @ SY5337 @ SY5334 ) )
| ( SY5333 = SY5337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1842]) ).
thf(2298,plain,
! [SV585: $i,SV140: $i] :
( ( ! [SY5338: $i,SY5339: $i,SY5340: $i,SY5341: $i] :
( ( c_Expr_Oexp_OBlock @ SV140 @ SV585 @ SY5338 @ SY5339 )
!= ( c_Expr_Oexp_OCast @ SY5340 @ SY5341 @ SY5339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1843]) ).
thf(2299,plain,
! [SV586: $i,SV141: $i] :
( ( ! [SY5342: $i,SY5343: $i] : ( c_SmallStep_Oredp @ SV141 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV586 @ SY5342 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5343 @ SY5342 @ SY5343 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1844]) ).
thf(2300,plain,
! [SV587: $i,SV142: $i] :
( ( ! [SY5344: $i,SY5345: $i,SY5346: $i] :
( ( c_Expr_Oexp_OLAss @ SV142 @ SV587 @ SY5344 )
!= ( c_Expr_Oexp_OWhile @ SY5345 @ SY5346 @ SY5344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1845]) ).
thf(2301,plain,
! [SV588: $i,SV143: $i] :
( ( ! [SY5347: $i,SY5348: $i,SY5349: $i,SY5350: $i] :
( ( c_Expr_Oexp_Othrow @ SV143 @ SV588 )
!= ( c_Expr_Oexp_OFAss @ SY5347 @ SY5348 @ SY5349 @ SY5350 @ SV588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1846]) ).
thf(2302,plain,
! [SV589: $i,SV144: $i] :
( ( ! [SY5351: $i,SY5352: $i,SY5353: $i,SY5354: $i,SY5355: $i] :
( ( c_Expr_Oexp_OBlock @ SV144 @ SV589 @ SY5351 @ SY5352 )
!= ( c_Expr_Oexp_OCall @ SY5353 @ SY5354 @ SY5355 @ SY5352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1847]) ).
thf(2303,plain,
! [SV590: $i,SV145: $i] :
( ( ! [SY5356: $i,SY5357: $i,SY5358: $i,SY5359: $i,SY5360: $i] :
( ( c_Expr_Oexp_OBlock @ SV145 @ SV590 @ SY5356 @ SY5357 )
!= ( c_Expr_Oexp_OFAcc @ SY5358 @ SY5359 @ SY5360 @ SY5357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1848]) ).
thf(2304,plain,
! [SV591: $i,SV146: $i] :
( ( ! [SY5361: $i,SY5362: $i,SY5363: $i] :
( ( c_Expr_Oexp_Othrow @ SV146 @ SV591 )
!= ( c_Expr_Oexp_OBlock @ SY5361 @ SY5362 @ SY5363 @ SV591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1849]) ).
thf(2305,plain,
! [SV592: $i,SV147: $i] :
( ( ! [SY5364: $i,SY5365: $i,SY5366: $i] : ( c_SmallStep_Oredp @ SV147 @ ( c_Expr_Oexp_OBlock @ SV592 @ SY5364 @ ( c_Expr_Oexp_OVal @ SY5365 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5366 @ ( c_Expr_Oexp_OVal @ SY5365 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5366 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1850]) ).
thf(2306,plain,
! [SV593: $i,SV148: $i] :
( ( ! [SY5367: $i,SY5368: $i] :
( ( c_Expr_Oexp_Othrow @ SV148 @ SV593 )
!= ( c_Expr_Oexp_OCast @ SY5367 @ SY5368 @ SV593 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1851]) ).
thf(2307,plain,
! [SV594: $i,SV149: $i] :
( ( ! [SY5369: $i,SY5370: $i,SY5371: $i] :
( ( c_Conform_Olconf @ SV149 @ SV594 @ SY5369 @ SY5370 @ SY5371 )
| ! [SY5372: $i] :
( ~ ( c_Objects_Ohext @ SY5372 @ SV594 )
| ~ ( c_Conform_Olconf @ SV149 @ SY5372 @ SY5369 @ SY5370 @ SY5371 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1852]) ).
thf(2308,plain,
! [SV595: $i,SV150: $i] :
( ( ! [SY5373: $i,SY5374: $i,SY5375: $i] :
( ( c_SmallStep_Oredp @ SV150 @ ( c_Expr_Oexp_Othrow @ SV595 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5373 @ ( c_Expr_Oexp_Othrow @ SY5374 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5375 )
| ~ ( c_SmallStep_Oredp @ SV150 @ SV595 @ SY5373 @ SY5374 @ SY5375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1853]) ).
thf(2309,plain,
! [SV596: $i,SV151: $i] :
( ( ! [SY5376: $i,SY5377: $i] :
( ( c_Expr_Oexp_OLAss @ SV151 @ SV596 @ SY5376 )
!= ( c_Expr_Oexp_OVal @ SY5377 @ SY5376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1854]) ).
thf(2310,plain,
! [SV597: $i,SV152: $i] :
( ( ! [SY5378: $i,SY5379: $i,SY5380: $i] :
( ( c_Expr_Oexp_Othrow @ SV152 @ SV597 )
!= ( c_Expr_Oexp_OCall @ SY5378 @ SY5379 @ SY5380 @ SV597 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1855]) ).
thf(2311,plain,
! [SV598: $i,SV153: $i] :
( ( ! [SY5381: $i,SY5382: $i,SY5383: $i] :
( ( c_Expr_Oexp_Othrow @ SV153 @ SV598 )
!= ( c_Expr_Oexp_OFAcc @ SY5381 @ SY5382 @ SY5383 @ SV598 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1856]) ).
thf(2312,plain,
! [SV599: $i,SV154: $i] :
( ( ! [SY5384: $i,SY5385: $i,SY5386: $i,SY5387: $i,SY5388: $i,SY5389: $i] :
( ( c_Expr_Oexp_OFAss @ SV154 @ SV599 @ SY5384 @ SY5385 @ SY5386 )
!= ( c_Expr_Oexp_OBlock @ SY5387 @ SY5388 @ SY5389 @ SY5386 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1857]) ).
thf(2313,plain,
! [SV600: $i,SV155: $i] :
( ( ! [SY5390: $i,SY5391: $i,SY5392: $i,SY5393: $i] :
( ( c_Expr_Oexp_OCall @ SV155 @ SV600 @ SY5390 @ SY5391 )
!= ( c_Expr_Oexp_OWhile @ SY5392 @ SY5393 @ SY5391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1858]) ).
thf(2314,plain,
! [SV601: $i,SV156: $i] :
( ( ! [SY5394: $i,SY5395: $i,SY5396: $i] :
( ( c_Expr_Oexp_OCall @ SV156 @ SV601 @ SY5394 @ SY5395 )
!= ( c_Expr_Oexp_OVal @ SY5396 @ SY5395 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1859]) ).
thf(2315,plain,
! [SV602: $i,SV157: $i] :
( ( ! [SY5397: $i,SY5398: $i,SY5399: $i,SY5400: $i,SY5401: $i] :
( ( c_BigStep_Oeval @ SV157 @ ( c_Expr_Oexp_OBinOp @ SV602 @ SY5397 @ SY5398 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5399 @ ( c_Expr_Oexp_Othrow @ SY5400 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5401 )
| ~ ( c_BigStep_Oeval @ SV157 @ SV602 @ SY5399 @ ( c_Expr_Oexp_Othrow @ SY5400 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5401 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1860]) ).
thf(2316,plain,
! [SV603: $i,SV158: $i] :
( ( ! [SY5402: $i,SY5403: $i,SY5404: $i] :
( ( c_Expr_Oexp_Othrow @ SV158 @ SV603 )
!= ( c_Expr_Oexp_OBinOp @ SY5402 @ SY5403 @ SY5404 @ SV603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1861]) ).
thf(2317,plain,
! [SV604: $i,SV159: $i] :
( ( ! [SY5405: $i,SY5406: $i] :
( ! [SY5407: $i] :
( ( c_Expr_Oexp_OCast @ SV159 @ SV604 @ SY5405 )
!= ( c_Expr_Oexp_OCast @ SY5406 @ SY5407 @ SY5405 ) )
| ( SV159 = SY5406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1862]) ).
thf(2318,plain,
! [SV605: $i,SV160: $i] :
( ( ! [SY5408: $i,SY5409: $i,SY5410: $i] :
( ( ( c_Expr_Oexp_OCast @ SV160 @ SV605 @ SY5408 )
!= ( c_Expr_Oexp_OCast @ SY5409 @ SY5410 @ SY5408 ) )
| ( SV605 = SY5410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1863]) ).
thf(2319,plain,
! [SV606: $i,SV161: $i] :
( ( ! [SY5411: $i,SY5412: $i,SY5413: $i,SY5414: $i,SY5415: $i,SY5416: $i] :
( ( c_Expr_Oexp_OCall @ SV161 @ SV606 @ SY5411 @ SY5412 )
!= ( c_Expr_Oexp_OFAss @ SY5413 @ SY5414 @ SY5415 @ SY5416 @ SY5412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1864]) ).
thf(2320,plain,
! [SV607: $i,SV162: $i] :
( ( ! [SY5417: $i,SY5418: $i,SY5419: $i,SY5420: $i] :
( ( c_Expr_Oexp_OFAss @ SV162 @ SV607 @ SY5417 @ SY5418 @ SY5419 )
!= ( c_Expr_Oexp_Othrow @ SY5420 @ SY5419 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1865]) ).
thf(2321,plain,
! [SV608: $i,SV163: $i] :
( ( ! [SY5421: $i,SY5422: $i,SY5423: $i] : ( c_SmallStep_Oredp @ SV163 @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ SV608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5421 @ SY5422 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5423 @ ( c_Expr_Oexp_Othrow @ SV608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5423 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1866]) ).
thf(2322,plain,
! [SV609: $i,SV164: $i] :
( ( ! [SY5424: $i,SY5425: $i,SY5426: $i,SY5427: $i] :
( ( c_Expr_Oexp_OBinOp @ SV164 @ SV609 @ SY5424 @ SY5425 )
!= ( c_Expr_Oexp_OLAss @ SY5426 @ SY5427 @ SY5425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1867]) ).
thf(2323,plain,
! [SV610: $i,SV165: $i] :
( ( ! [SY5428: $i,SY5429: $i,SY5430: $i,SY5431: $i,SY5432: $i] :
( ( c_Expr_Oexp_OFAcc @ SV165 @ SV610 @ SY5428 @ SY5429 )
!= ( c_Expr_Oexp_OBlock @ SY5430 @ SY5431 @ SY5432 @ SY5429 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1868]) ).
thf(2324,plain,
! [SV611: $i,SV166: $i] :
( ( ! [SY5433: $i,SY5434: $i,SY5435: $i,SY5436: $i] :
( ( c_Expr_Oexp_OCall @ SV166 @ SV611 @ SY5433 @ SY5434 )
!= ( c_Expr_Oexp_OCast @ SY5435 @ SY5436 @ SY5434 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1869]) ).
thf(2325,plain,
! [SV612: $i,SV167: $i] :
( ( ! [SY5437: $i] :
( ( c_Expr_Oexp_Othrow @ SV167 @ SV612 )
!= ( c_Expr_Oexp_OVal @ SY5437 @ SV612 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1870]) ).
thf(2326,plain,
! [SV613: $i,SV168: $i] :
( ( ! [SY5438: $i,SY5439: $i,SY5440: $i,SY5441: $i,SY5442: $i] :
( ( c_Expr_Oexp_OLAss @ SV168 @ SV613 @ SY5438 )
!= ( c_Expr_Oexp_OTryCatch @ SY5439 @ SY5440 @ SY5441 @ SY5442 @ SY5438 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1871]) ).
thf(2327,plain,
! [SV614: $i,SV169: $i] :
( ( ! [SY5443: $i,SY5444: $i,SY5445: $i,SY5446: $i,SY5447: $i] :
( ( c_Expr_Oexp_OCall @ SV169 @ SV614 @ SY5443 @ SY5444 )
!= ( c_Expr_Oexp_OFAcc @ SY5445 @ SY5446 @ SY5447 @ SY5444 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1872]) ).
thf(2328,plain,
! [SV615: $i,SV170: $i] :
( ( ! [SY5448: $i,SY5449: $i,SY5450: $i] :
( ( c_Expr_Oexp_OFAcc @ SV170 @ SV615 @ SY5448 @ SY5449 )
!= ( c_Expr_Oexp_Othrow @ SY5450 @ SY5449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1873]) ).
thf(2329,plain,
! [SV616: $i,SV171: $i] :
( ( ! [SY5451: $i,SY5452: $i,SY5453: $i,SY5454: $i] : ( c_SmallStep_Oredp @ SV171 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ SV616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5451 @ SY5452 @ SY5453 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5454 @ ( c_Expr_Oexp_Othrow @ SV616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5454 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1874]) ).
thf(2330,plain,
! [SV617: $i,SV172: $i] :
( ( ! [SY5455: $i,SY5456: $i] : ( c_Map_Omap__le @ SV172 @ ( c_Map_Omap__add @ SV617 @ SV172 @ SY5455 @ SY5456 ) @ SY5455 @ SY5456 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1875]) ).
thf(2331,plain,
! [SV618: $i,SV173: $i] :
( ( ! [SY5457: $i,SY5458: $i,SY5459: $i] :
( ( c_Expr_Oexp_OSeq @ SV173 @ SV618 @ SY5457 )
!= ( c_Expr_Oexp_OCast @ SY5458 @ SY5459 @ SY5457 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1876]) ).
thf(2332,plain,
! [SV619: $i,SV174: $i] :
( ( ! [SY5460: $i,SY5461: $i,SY5462: $i] :
( ( c_Expr_Oexp_OWhile @ SV174 @ SV619 @ SY5460 )
!= ( c_Expr_Oexp_OCast @ SY5461 @ SY5462 @ SY5460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1877]) ).
thf(2333,plain,
! [SV620: $i,SV175: $i] :
( ( ! [SY5463: $i,SY5464: $i] : ( c_SmallStep_Oredp @ SV175 @ ( c_Expr_Oexp_OCast @ SV620 @ ( c_Expr_Oexp_Othrow @ SY5463 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5464 @ ( c_Expr_Oexp_Othrow @ SY5463 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5464 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1878]) ).
thf(2334,plain,
! [SV621: $i,SV176: $i] :
( ( ! [SY5465: $i,SY5466: $i,SY5467: $i] :
( ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV176 @ SV621 @ SY5465 @ SY5466 ) @ SY5467 @ SY5465 @ SY5466 )
| ~ ( c_Map_Omap__le @ SV176 @ ( c_Map_Omap__add @ SV176 @ SV621 @ SY5465 @ SY5466 ) @ SY5465 @ SY5466 )
| ~ ( c_Map_Omap__le @ SV621 @ SY5467 @ SY5465 @ SY5466 )
| ~ ( c_Map_Omap__le @ SV176 @ SY5467 @ SY5465 @ SY5466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1879]) ).
thf(2335,plain,
! [SV622: $i,SV177: $i] :
( ( ! [SY5468: $i,SY5469: $i,SY5470: $i] :
( ( c_BigStep_Oeval @ SV177 @ ( c_Expr_Oexp_OCast @ SV622 @ SY5468 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5469 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5470 )
| ~ ( c_BigStep_Oeval @ SV177 @ SY5468 @ SY5469 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5470 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1880]) ).
thf(2336,plain,
! [SV623: $i,SV178: $i] :
( ( ! [SY5471: $i,SY5472: $i,SY5473: $i,SY5474: $i,SY5475: $i] :
( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SV623 @ SY5471 @ SY5472 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5473 @ ( c_Expr_Oexp_Othrow @ SY5474 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5475 )
| ! [SY5476: $i] :
( ~ ( c_BigStep_Oeval @ SV178 @ SY5472 @ SY5476 @ ( c_Expr_Oexp_Othrow @ SY5474 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5475 )
| ! [SY5477: $i] :
~ ( c_BigStep_Oeval @ SV178 @ SV623 @ SY5473 @ ( c_Expr_Oexp_OVal @ SY5477 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5476 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1881]) ).
thf(2337,plain,
! [SV624: $i,SV179: $i] :
( ( ! [SY5478: $i,SY5479: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV179 @ SV624 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5478 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV624 @ SY5478 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5479 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1882]) ).
thf(2338,plain,
! [SV625: $i,SV180: $i] :
( ( ! [SY5480: $i,SY5481: $i,SY5482: $i,SY5483: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV180 @ SV625 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV180 @ ( c_Expr_Oexp_OVal @ SY5480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ SY5481 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5482 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY5481 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5482 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5483 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1883]) ).
thf(2339,plain,
! [SV626: $i,SV181: $i] :
( ( ! [SY5484: $i,SY5485: $i,SY5486: $i,SY5487: $i,SY5488: $i,SY5489: $i] :
( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SY5484 @ SY5485 @ SY5486 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5487 @ ( c_Expr_Oexp_Othrow @ SY5488 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5489 )
| ! [SY5490: $i] :
( ~ ( c_BigStep_Oeval @ SV181 @ SY5486 @ SY5490 @ ( c_Expr_Oexp_Othrow @ SY5488 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5489 )
| ! [SY5491: $i] :
~ ( c_BigStep_Oeval @ SV181 @ SV626 @ SY5487 @ ( c_Expr_Oexp_OVal @ SY5491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5490 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1884]) ).
thf(2340,plain,
! [SV627: $i,SV182: $i] :
( ( ! [SY5492: $i] : ( c_SmallStep_Oredp @ SV182 @ ( c_Expr_Oexp_OCast @ SV627 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5492 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5492 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1885]) ).
thf(2341,plain,
! [SV628: $i,SV183: $i] :
( ( ! [SY5493: $i,SY5494: $i,SY5495: $i] : ( c_SmallStep_Oredp @ SV183 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV628 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5493 @ ( c_Expr_Oexp_Othrow @ SY5494 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5495 @ ( c_Expr_Oexp_Othrow @ SY5494 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5495 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1886]) ).
thf(2342,plain,
! [SV629: $i,SV184: $i] :
( ( ! [SY5496: $i,SY5497: $i,SY5498: $i,SY5499: $i] : ( c_SmallStep_Oredp @ SV184 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV629 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5496 @ SY5497 @ ( c_Expr_Oexp_Othrow @ SY5498 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5499 @ ( c_Expr_Oexp_Othrow @ SY5498 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5499 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1887]) ).
thf(2343,plain,
! [SV630: $i,SV185: $i] :
( ( ! [SY5500: $i,SY5501: $i,SY5502: $i,SY5503: $i,SY5504: $i,SY5505: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SY5500 @ SY5501 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5502 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SY5500 @ SY5503 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5504 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5505 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY5501 @ SY5502 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5503 @ SY5504 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5505 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1888]) ).
thf(2344,plain,
! [SV631: $i,SV186: $i] :
( ( ! [SY5506: $i,SY5507: $i,SY5508: $i,SY5509: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV186 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV631 @ SY5506 @ ( c_Expr_Oexp_Othrow @ SY5507 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5508 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5507 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5508 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5509 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1889]) ).
thf(2345,plain,
! [SV632: $i,SV187: $i] :
( ( ! [SY5510: $i,SY5511: $i,SY5512: $i,SY5513: $i,SY5514: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SY5510 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5511 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SY5512 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5513 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5514 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY5510 @ SY5511 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5512 @ SY5513 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5514 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1890]) ).
thf(2346,plain,
! [SV633: $i,SV188: $i] :
( ( ! [SY5515: $i,SY5516: $i,SY5517: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV188 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV633 @ ( c_Expr_Oexp_Othrow @ SY5515 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5516 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5515 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5516 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5517 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1891]) ).
thf(2347,plain,
! [SV634: $i,SV189: $i] :
( ( ! [SY5518: $i,SY5519: $i,SY5520: $i,SY5521: $i,SY5522: $i] :
( ( c_Conform_Olconf @ SV189 @ SV634 @ SY5518 @ SY5519 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Olconf @ SV189 @ SY5520 @ SY5521 @ SY5519 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY3524: $i] :
~ ( c_WellTypeRT_OWTrt @ SV189 @ SY5520 @ SY5519 @ SY5522 @ SY3524 )
| ! [SY5524: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY5522 @ ( c_Pair @ SY5520 @ SY5521 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5524 @ ( c_Pair @ SV634 @ SY5518 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1892]) ).
thf(2348,plain,
! [SV635: $i,SV190: $i] :
( ( ! [SY5525: $i,SY5526: $i,SY5527: $i,SY5528: $i,SY5529: $i] :
( ( c_Conform_Ohconf @ SV190 @ SV635 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Ohconf @ SV190 @ SY5525 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV190 @ SY5525 @ SY5526 @ SY5527 @ SY5528 )
| ! [SY5530: $i,SY5531: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY5527 @ ( c_Pair @ SY5525 @ SY5529 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5530 @ ( c_Pair @ SV635 @ SY5531 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1893]) ).
thf(2349,plain,
! [SV636: $i,SV191: $i] :
( ( ! [SY5532: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV191 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV636 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV636 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5532 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1894]) ).
thf(2350,plain,
! [SV637: $i,SV192: $i] :
( ( ! [SY5533: $i,SY5534: $i] : ( c_SmallStep_Oredp @ SV192 @ ( c_Expr_Oexp_OWhile @ SV637 @ SY5533 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5534 @ ( c_Expr_Oexp_OCond @ SV637 @ ( c_Expr_Oexp_OSeq @ SY5533 @ ( c_Expr_Oexp_OWhile @ SV637 @ SY5533 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5534 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1895]) ).
thf(2351,plain,
! [SV638: $i,SV193: $i] :
( ( ! [SY5535: $i,SY5536: $i,SY5537: $i,SY5538: $i] :
( ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OCond @ SV638 @ ( c_Expr_Oexp_OSeq @ SY5535 @ ( c_Expr_Oexp_OWhile @ SV638 @ SY5535 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5536 @ SY5537 @ SY5538 )
| ~ ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OWhile @ SV638 @ SY5535 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5536 @ SY5537 @ SY5538 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1896]) ).
thf(2352,plain,
! [SV639: $i,SV194: $i] :
( ( ! [SY5539: $i,SY5540: $i,SY5541: $i,SY5542: $i] :
( ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OWhile @ SV639 @ SY5539 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5540 @ SY5541 @ SY5542 )
| ~ ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OCond @ SV639 @ ( c_Expr_Oexp_OSeq @ SY5539 @ ( c_Expr_Oexp_OWhile @ SV639 @ SY5539 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5540 @ SY5541 @ SY5542 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1897]) ).
thf(2353,plain,
! [SV640: $i,SV195: $i] :
( ( ! [SY5543: $i,SY5544: $i,SY5545: $i,SY5546: $i,SY5547: $i,SY5548: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV195 @ SV640 @ SY5543 @ SY5544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5545 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SY5546 @ SV640 @ SY5543 @ SY5544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5547 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5548 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV195 @ SY5545 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5546 @ SY5547 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5548 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1898]) ).
thf(2354,plain,
! [SV641: $i,SV196: $i] :
( ( ! [SY5549: $i,SY5550: $i,SY5551: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ SV196 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV641 @ SY5549 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5550 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV196 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5550 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5551 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1899]) ).
thf(2355,plain,
! [SV642: $i,SV197: $i] :
( ( ! [SY5552: $i,SY5553: $i,SY5554: $i,SY5555: $i,SY5556: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV197 @ SV642 @ SY5552 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5553 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SY5554 @ SV642 @ SY5552 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5555 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5556 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV197 @ SY5553 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5554 @ SY5555 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5556 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1900]) ).
thf(2356,plain,
! [SV643: $i,SV198: $i] :
( ( ! [SY5557: $i,SY5558: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ SV198 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV643 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5557 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV198 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5557 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5558 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1901]) ).
thf(2357,plain,
! [SV644: $i,SV199: $i] :
( ( ! [SY5559: $i,SY5560: $i,SY5561: $i,SY5562: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV199 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5559 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SY5560 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5561 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5562 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV199 @ SY5559 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5560 @ SY5561 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5562 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1902]) ).
thf(2358,plain,
! [SV645: $i,SV200: $i] :
( ( ! [SY5563: $i,SY5564: $i,SY5565: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ SV200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV645 @ SY5563 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5564 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5564 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5565 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1903]) ).
thf(2359,plain,
! [SV646: $i,SV201: $i] :
( ( ! [SY5566: $i,SY5567: $i,SY5568: $i,SY5569: $i,SY5570: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV201 @ SV646 @ SY5566 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5567 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SY5568 @ SV646 @ SY5566 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5569 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5570 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV201 @ SY5567 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5568 @ SY5569 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5570 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1904]) ).
thf(2360,plain,
! [SV647: $i,SV202: $i] :
( ( ! [SY5571: $i,SY5572: $i,SY5573: $i,SY5574: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ SV202 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV647 @ SY5571 @ SY5572 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5573 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV202 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5573 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5574 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1905]) ).
thf(2361,plain,
! [SV648: $i,SV203: $i] :
( ( ! [SY5575: $i,SY5576: $i,SY5577: $i,SY5578: $i,SY5579: $i,SY5580: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV203 @ SV648 @ SY5575 @ SY5576 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5577 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SY5578 @ SV648 @ SY5575 @ SY5576 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5579 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5580 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV203 @ SY5577 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5578 @ SY5579 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5580 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1906]) ).
thf(2362,plain,
! [SV649: $i,SV204: $i] :
( ( ! [SY5581: $i,SY5582: $i,SY5583: $i,SY5584: $i,SY5585: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV204 @ SV649 @ SY5581 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5582 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SY5583 @ SV649 @ SY5581 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5584 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5585 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV204 @ SY5582 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5583 @ SY5584 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5585 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1907]) ).
thf(2363,plain,
! [SV650: $i,SV205: $i] :
( ( ! [SY5586: $i,SY5587: $i,SY5588: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ SV205 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV650 @ SY5586 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5587 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV205 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5587 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5588 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1908]) ).
thf(2364,plain,
! [SV651: $i,SV206: $i] :
( ( ! [SY5589: $i,SY5590: $i,SY5591: $i,SY5592: $i,SY5593: $i,SY5594: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ ( c_Map_Omap__add @ SY5589 @ SY5590 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5591 @ ( c_Pair @ SY5592 @ ( c_Map_Omap__add @ SY5589 @ SY5593 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5594 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ SY5590 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5591 @ ( c_Pair @ SY5592 @ SY5593 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5594 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1909]) ).
thf(2365,plain,
! [SV652: $i,SV207: $i] :
( ( ! [SY5595: $i,SY5596: $i,SY5597: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV207 @ SV652 @ ( c_Expr_Oexp_OVal @ SY5595 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5596 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY5595 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5596 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5597 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1910]) ).
thf(2366,plain,
! [SV653: $i,SV208: $i] :
( ( ! [SY5598: $i,SY5599: $i,SY5600: $i] :
( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SY5598 @ SY5599 @ c_Type_Oty_ONT )
| ! [SY5601: $i,SY5602: $i] :
( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SY5598 @ SY5599 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SY5600 @ SY5598 @ SY5601 @ SV208 @ SY5602 @ SY5599 @ SV653 ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SY5598 @ ( c_Expr_Oexp_OFAcc @ SY5599 @ SY5601 @ SY5600 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5602 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1911]) ).
thf(2367,plain,
! [SV654: $i,SV209: $i] :
( ( ! [SY5603: $i,SY5604: $i,SY5605: $i,SY5606: $i] :
( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SY5603 @ SY5604 @ c_Type_Oty_ONT )
| ! [SY5607: $i] :
( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SY5603 @ SY5604 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY5605 @ SY5603 @ SY5606 @ SV209 @ SY5604 @ SV654 @ SY5607 ) ) )
| ! [SY5608: $i] :
~ ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SY5603 @ ( c_Expr_Oexp_OFAss @ SY5604 @ SY5606 @ SY5605 @ SY5607 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5608 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1912]) ).
thf(2368,plain,
! [SV655: $i,SV210: $i] :
( ( ! [SY5609: $i,SY5610: $i,SY5611: $i,SY5612: $i,SY5613: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV210 @ SV655 @ SY5609 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5610 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SY5611 @ SV655 @ SY5609 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5612 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5613 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV210 @ SY5610 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5611 @ SY5612 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5613 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1913]) ).
thf(2369,plain,
! [SV656: $i,SV211: $i] :
( ( ! [SY5614: $i,SY5615: $i,SY5616: $i,SY5617: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SV656 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5614 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SY5615 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5616 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5617 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV656 @ SY5614 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5615 @ SY5616 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5617 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1914]) ).
thf(2370,plain,
! [SV657: $i,SV212: $i] :
( ( ! [SY5618: $i,SY5619: $i,SY5620: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV212 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV657 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5618 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5619 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5620 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV212 @ SV657 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5618 @ SY5619 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5620 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1915]) ).
thf(2371,plain,
! [SV658: $i,SV213: $i] :
( ( ! [SY5621: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_Othrow @ SV213 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV658 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV213 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV658 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5621 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1916]) ).
thf(2372,plain,
! [SV659: $i,SV214: $i] :
( ( ! [SY5622: $i,SY5623: $i,SY5624: $i,SY5625: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SV659 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SY5623 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5624 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5625 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV659 @ SY5622 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5623 @ SY5624 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5625 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1917]) ).
thf(2373,plain,
! [SV660: $i,SV215: $i] :
( ( ! [SY5626: $i,SY5627: $i,SY5628: $i,SY5629: $i,SY5630: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV215 @ SV660 @ SY5626 @ SY5627 ) @ ( c_Pair @ SV215 @ SY5628 @ SY5626 @ SY5627 ) @ ( tc_prod @ SY5626 @ SY5627 ) @ ( tc_prod @ SY5626 @ SY5627 ) ) @ ( c_Recdef_Osame__fst @ SY5629 @ SY5630 @ SY5626 @ SY5627 ) @ ( tc_prod @ ( tc_prod @ SY5626 @ SY5627 ) @ ( tc_prod @ SY5626 @ SY5627 ) ) )
| ~ ( c_in @ ( c_Pair @ SV660 @ SY5628 @ SY5627 @ SY5627 ) @ ( hAPP @ SY5630 @ SV215 ) @ ( tc_prod @ SY5627 @ SY5627 ) )
| ~ ( hBOOL @ ( hAPP @ SY5629 @ SV215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1918]) ).
thf(2374,plain,
! [SV661: $i,SV216: $i] :
( ( ! [SY5631: $i,SY5632: $i,SY5633: $i,SY5634: $i] :
( ( c_in @ ( c_Pair @ SV216 @ SV661 @ SY5631 @ SY5631 ) @ SY5632 @ ( tc_prod @ SY5631 @ SY5631 ) )
| ! [SY5635: $i,SY5636: $i] :
( ( c_in @ ( c_Pair @ SY5633 @ SY5634 @ SY5635 @ SY5635 ) @ SY5636 @ ( tc_prod @ SY5635 @ SY5635 ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY5633 @ SV216 @ SY5635 @ SY5631 ) @ ( c_Pair @ SY5634 @ SV661 @ SY5635 @ SY5631 ) @ ( tc_prod @ SY5635 @ SY5631 ) @ ( tc_prod @ SY5635 @ SY5631 ) ) @ ( c_Wellfounded_Olex__prod @ SY5636 @ SY5632 @ SY5635 @ SY5631 ) @ ( tc_prod @ ( tc_prod @ SY5635 @ SY5631 ) @ ( tc_prod @ SY5635 @ SY5631 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1919]) ).
thf(2375,plain,
! [SV662: $i,SV217: $i] :
( ( ! [SY5637: $i,SY5638: $i,SY5639: $i,SY5640: $i,SY5641: $i] :
( ! [SY5642: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ SV217 @ SV662 @ SY5637 @ SY5638 ) @ ( c_Pair @ SY5639 @ SY5640 @ SY5637 @ SY5638 ) @ ( tc_prod @ SY5637 @ SY5638 ) @ ( tc_prod @ SY5637 @ SY5638 ) ) @ ( c_Wellfounded_Olex__prod @ SY5641 @ SY5642 @ SY5637 @ SY5638 ) @ ( tc_prod @ ( tc_prod @ SY5637 @ SY5638 ) @ ( tc_prod @ SY5637 @ SY5638 ) ) )
| ~ ( c_in @ ( c_Pair @ SV217 @ SY5639 @ SY5637 @ SY5637 ) @ SY5641 @ ( tc_prod @ SY5637 @ SY5637 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1920]) ).
thf(2376,plain,
! [SV663: $i,SV218: $i] :
( ( ! [SY5643: $i,SY5644: $i,SY5645: $i,SY5646: $i,SY5647: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV218 @ SV663 @ SY5643 @ SY5644 ) @ ( c_Pair @ SV218 @ SY5645 @ SY5643 @ SY5644 ) @ ( tc_prod @ SY5643 @ SY5644 ) @ ( tc_prod @ SY5643 @ SY5644 ) ) @ ( c_Wellfounded_Olex__prod @ SY5646 @ SY5647 @ SY5643 @ SY5644 ) @ ( tc_prod @ ( tc_prod @ SY5643 @ SY5644 ) @ ( tc_prod @ SY5643 @ SY5644 ) ) )
| ~ ( c_in @ ( c_Pair @ SV663 @ SY5645 @ SY5644 @ SY5644 ) @ SY5647 @ ( tc_prod @ SY5644 @ SY5644 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1921]) ).
thf(2377,plain,
! [SV664: $i,SV219: $i] :
( ( ! [SY5648: $i,SY5649: $i,SY5650: $i,SY5651: $i] :
( ( SV219 = SV664 )
| ( c_in @ ( c_Pair @ SV219 @ SV664 @ SY5648 @ SY5648 ) @ SY5649 @ ( tc_prod @ SY5648 @ SY5648 ) )
| ! [SY5652: $i,SY5653: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV219 @ SY5650 @ SY5648 @ SY5651 ) @ ( c_Pair @ SV664 @ SY5652 @ SY5648 @ SY5651 ) @ ( tc_prod @ SY5648 @ SY5651 ) @ ( tc_prod @ SY5648 @ SY5651 ) ) @ ( c_Wellfounded_Olex__prod @ SY5649 @ SY5653 @ SY5648 @ SY5651 ) @ ( tc_prod @ ( tc_prod @ SY5648 @ SY5651 ) @ ( tc_prod @ SY5648 @ SY5651 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1922]) ).
thf(2378,plain,
! [SV665: $i,SV220: $i] :
( ( ! [SY5654: $i,SY5655: $i,SY5656: $i,SY5657: $i,SY5658: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SY5654 ) @ ( c_List_Olist_OCons @ SY5655 @ SY5656 @ SV665 ) @ ( c_List_Olist_OCons @ SY5657 @ SY5658 @ SY5654 ) @ SV665 @ SY5654 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SY5654 ) @ SY5656 @ SY5658 @ SV665 @ SY5654 )
| ~ ( c_in @ ( c_Pair @ SY5655 @ SY5657 @ SV665 @ SY5654 ) @ SV220 @ ( tc_prod @ SV665 @ SY5654 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1923]) ).
thf(2379,plain,
! [SV666: $i,SV221: $i] :
( ( ! [SY5659: $i,SY5660: $i,SY5661: $i,SY5662: $i,SY5663: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SY5659 ) @ ( c_List_Olist_OCons @ SY5660 @ SY5661 @ SV666 ) @ ( c_List_Olist_OCons @ SY5662 @ SY5663 @ SY5659 ) @ SV666 @ SY5659 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SY5659 ) @ SY5661 @ SY5663 @ SV666 @ SY5659 )
| ~ ( c_in @ ( c_Pair @ SY5660 @ SY5662 @ SV666 @ SY5659 ) @ SV221 @ ( tc_prod @ SV666 @ SY5659 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1924]) ).
thf(2380,plain,
! [SV667: $i,SV222: $i] :
( ( ! [SY5664: $i,SY5665: $i,SY5666: $i,SY5667: $i,SY5668: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SY5664 ) @ ( c_List_Olist_OCons @ SY5665 @ SY5666 @ SV667 ) @ ( c_List_Olist_OCons @ SY5667 @ SY5668 @ SY5664 ) @ SV667 @ SY5664 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SY5664 ) @ SY5666 @ SY5668 @ SV667 @ SY5664 )
| ~ ( c_in @ ( c_Pair @ SY5665 @ SY5667 @ SV667 @ SY5664 ) @ SV222 @ ( tc_prod @ SV667 @ SY5664 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1925]) ).
thf(2381,plain,
! [SV668: $i,SV223: $i] :
( ( ! [SY5669: $i,SY5670: $i,SY5671: $i] :
( ( c_in @ ( c_Pair @ SV223 @ SV668 @ SY5669 @ SY5670 ) @ SY5671 @ ( tc_prod @ SY5669 @ SY5670 ) )
| ! [SY5672: $i,SY5673: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SY5671 @ SY5669 @ SY5670 ) @ ( c_List_Olist_OCons @ SV223 @ SY5672 @ SY5669 ) @ ( c_List_Olist_OCons @ SV668 @ SY5673 @ SY5670 ) @ SY5669 @ SY5670 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1926]) ).
thf(2382,plain,
! [SV669: $i,SV224: $i] :
( ( ! [SY5674: $i,SY5675: $i,SY5676: $i,SY5677: $i,SY5678: $i,SY5679: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SY5674 @ SY5675 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5676 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5677 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5678 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5679 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3716: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY5675 @ SY3716 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5677 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5678 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5679 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3717: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SY5676 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3717 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3716 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5679 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1927]) ).
thf(2383,plain,
! [SV670: $i,SV225: $i] :
( ( ! [SY5682: $i,SY5683: $i,SY5684: $i,SY5685: $i,SY5686: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SV670 @ SY5682 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5683 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5684 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5685 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5686 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3724: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY5682 @ SY3724 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5684 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5685 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5686 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3725: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SY5683 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3725 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3724 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5686 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1928]) ).
thf(2384,plain,
! [SV671: $i,SV226: $i] :
( ( ! [SY5689: $i,SY5690: $i,SY5691: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV226 @ SV671 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5689 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5691 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV671 @ SY5689 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5691 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1929]) ).
thf(2385,plain,
! [SV672: $i,SV227: $i] :
( ( ! [SY5692: $i,SY5693: $i,SY5694: $i,SY5695: $i,SY5696: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV227 @ SV672 @ SY5692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5693 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5694 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5695 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5696 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV227 @ SY5693 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5694 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5695 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5696 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1930]) ).
thf(2386,plain,
! [SV673: $i,SV228: $i] :
( ( ! [SY5697: $i,SY5698: $i,SY5699: $i,SY5700: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV228 @ SV673 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5697 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5698 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5699 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5700 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV228 @ SY5697 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5698 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5699 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5700 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1931]) ).
thf(2387,plain,
! [SV674: $i,SV229: $i] :
( ( ! [SY5701: $i,SY5702: $i,SY5703: $i,SY5704: $i,SY5705: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV229 @ SV674 @ SY5701 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5702 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5703 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5704 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5705 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV229 @ SY5702 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5703 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5704 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5705 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1932]) ).
thf(2388,plain,
! [SV675: $i,SV230: $i] :
( ( ! [SY5706: $i,SY5707: $i,SY5708: $i,SY5709: $i,SY5710: $i,SY5711: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV230 @ SV675 @ SY5706 @ SY5707 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5708 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5709 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5710 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5711 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV230 @ SY5708 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5709 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5710 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5711 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1933]) ).
thf(2389,plain,
! [SV676: $i,SV231: $i] :
( ( ! [SY5712: $i,SY5713: $i,SY5714: $i,SY5715: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV231 @ SV676 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5712 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5714 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5715 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV231 @ SY5712 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5714 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5715 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1934]) ).
thf(2390,plain,
! [SV677: $i,SV232: $i] :
( ( ! [SY5716: $i,SY5717: $i,SY5718: $i,SY5719: $i,SY5720: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV232 @ SV677 @ SY5716 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5717 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5718 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5720 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV232 @ SY5717 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5718 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5720 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1935]) ).
thf(2391,plain,
! [SV678: $i,SV233: $i] :
( ( ! [SY5721: $i,SY5722: $i,SY5723: $i,SY5724: $i,SY5725: $i,SY5726: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ ( c_Map_Omap__add @ SY5721 @ SY5722 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5723 @ ( c_Pair @ SY5724 @ ( c_Map_Omap__add @ SY5721 @ SY5725 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5726 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ SY5722 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5723 @ ( c_Pair @ SY5724 @ SY5725 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5726 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1936]) ).
thf(2392,plain,
! [SV679: $i,SV234: $i] :
( ( ! [SY5727: $i,SY5728: $i,SY5729: $i,SY5730: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SV679 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5727 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SY5728 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5729 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5730 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV679 @ SY5727 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5728 @ SY5729 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5730 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1937]) ).
thf(2393,plain,
! [SV680: $i,SV235: $i] :
( ( ! [SY5731: $i,SY5732: $i,SY5733: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV235 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5731 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5732 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5733 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV235 @ SV680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5731 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5732 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5733 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1938]) ).
thf(2394,plain,
! [SV681: $i,SV236: $i] :
( ( ! [SY5734: $i,SY5735: $i,SY5736: $i,SY5737: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SV681 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5734 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SY5735 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5736 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5737 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV681 @ SY5734 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5735 @ SY5736 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5737 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1939]) ).
thf(2395,plain,
! [SV682: $i,SV237: $i] :
( ( ! [SY5738: $i,SY5739: $i,SY5740: $i,SY5741: $i,SY5742: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV237 @ SV682 @ SY5738 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5739 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SY5740 @ SV682 @ SY5738 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5741 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5742 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV237 @ SY5739 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5740 @ SY5741 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5742 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1940]) ).
thf(2396,plain,
! [SV683: $i,SV238: $i] :
( ( ! [SY5743: $i] :
( ( c_in @ SV238 @ ( c_Transitive__Closure_Ortrancl @ SV683 @ SY5743 ) @ ( tc_prod @ SY5743 @ SY5743 ) )
| ~ ( c_in @ SV238 @ SV683 @ ( tc_prod @ SY5743 @ SY5743 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1942]) ).
thf(2397,plain,
! [SV684: $i,SV239: $i] :
( ( ! [SY5744: $i] : ( c_in @ ( c_Pair @ SV239 @ SV239 @ SV684 @ SV684 ) @ ( c_Transitive__Closure_Ortrancl @ SY5744 @ SV684 ) @ ( tc_prod @ SV684 @ SV684 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1944]) ).
thf(2398,plain,
! [SV685: $i,SV240: $i] :
( ( ! [SY5745: $i] : ( c_in @ ( c_Pair @ SV240 @ SV240 @ SV685 @ SV685 ) @ ( c_Transitive__Closure_Ortrancl @ SY5745 @ SV685 ) @ ( tc_prod @ SV685 @ SV685 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1945]) ).
thf(2399,plain,
! [SV686: $i,SV241: $i] :
( ( ! [SY5746: $i,SY5747: $i] :
( ( c_in @ ( c_Pair @ SV241 @ SV686 @ SY5746 @ SY5746 ) @ ( c_Transitive__Closure_Ortrancl @ SY5747 @ SY5746 ) @ ( tc_prod @ SY5746 @ SY5746 ) )
| ! [SY5748: $i] :
( ~ ( c_in @ ( c_Pair @ SY5748 @ SV686 @ SY5746 @ SY5746 ) @ ( c_Transitive__Closure_Ortrancl @ SY5747 @ SY5746 ) @ ( tc_prod @ SY5746 @ SY5746 ) )
| ~ ( c_in @ ( c_Pair @ SV241 @ SY5748 @ SY5746 @ SY5746 ) @ ( c_Transitive__Closure_Ortrancl @ SY5747 @ SY5746 ) @ ( tc_prod @ SY5746 @ SY5746 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1946]) ).
thf(2400,plain,
! [SV687: $i,SV242: $i] :
( ( ! [SY5749: $i,SY5750: $i] :
( ( c_in @ ( c_Pair @ SV242 @ SV687 @ SY5749 @ SY5749 ) @ ( c_Transitive__Closure_Ortrancl @ SY5750 @ SY5749 ) @ ( tc_prod @ SY5749 @ SY5749 ) )
| ! [SY5751: $i] :
( ~ ( c_in @ ( c_Pair @ SY5751 @ SV687 @ SY5749 @ SY5749 ) @ ( c_Transitive__Closure_Ortrancl @ SY5750 @ SY5749 ) @ ( tc_prod @ SY5749 @ SY5749 ) )
| ~ ( c_in @ ( c_Pair @ SV242 @ SY5751 @ SY5749 @ SY5749 ) @ SY5750 @ ( tc_prod @ SY5749 @ SY5749 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1947]) ).
thf(2401,plain,
! [SV688: $i,SV243: $i] :
( ( ! [SY5752: $i,SY5753: $i] :
( ( c_in @ ( c_Pair @ SV243 @ SV688 @ SY5752 @ SY5752 ) @ ( c_Transitive__Closure_Ortrancl @ SY5753 @ SY5752 ) @ ( tc_prod @ SY5752 @ SY5752 ) )
| ! [SY5754: $i] :
( ~ ( c_in @ ( c_Pair @ SY5754 @ SV688 @ SY5752 @ SY5752 ) @ SY5753 @ ( tc_prod @ SY5752 @ SY5752 ) )
| ~ ( c_in @ ( c_Pair @ SV243 @ SY5754 @ SY5752 @ SY5752 ) @ ( c_Transitive__Closure_Ortrancl @ SY5753 @ SY5752 ) @ ( tc_prod @ SY5752 @ SY5752 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1948]) ).
thf(2402,plain,
! [SV689: $i,SV244: $i] :
( ( ! [SY5755: $i,SY5756: $i,SY5757: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV244 @ SV689 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5755 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5756 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5757 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV244 @ SY5755 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5756 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5757 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1949]) ).
thf(2403,plain,
! [SV690: $i,SV245: $i] :
( ( ! [SY5758: $i,SY5759: $i,SY5760: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV245 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY5758 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5759 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5760 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV245 @ SV690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5758 @ SY5759 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5760 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1950]) ).
thf(2404,plain,
! [SV691: $i,SV246: $i] :
( ( ( c_Transitive__Closure_Ortrancl @ ( c_Transitive__Closure_Ortrancl @ SV246 @ SV691 ) @ SV691 )
= ( c_Transitive__Closure_Ortrancl @ SV246 @ SV691 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1951]) ).
thf(2405,plain,
! [SV692: $i,SV247: $i] :
( ( ! [SY5761: $i,SY5762: $i,SY5763: $i,SY5764: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV247 @ SV692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5761 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5762 @ SY5763 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5764 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY5765: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV692 @ SY5765 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5762 @ SY5763 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5764 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3825: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV247 @ SY5761 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3825 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5765 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5764 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1952]) ).
thf(2406,plain,
! [SV693: $i,SV248: $i] :
( ( ! [SY5767: $i,SY5768: $i,SY5769: $i,SY5770: $i,SY5771: $i,SY5772: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV248 @ SV693 @ SY5767 @ SY5768 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5769 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY5770 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5771 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5772 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV248 @ SY5769 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY5770 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5771 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY5772 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1953]) ).
thf(2407,plain,
! [SV694: $i,SV249: $i] :
( ( ! [SY5773: $i,SY5774: $i,SY5775: $i] :
( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SY5773 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SY5774 )
| ! [SY5776: $i] :
~ ( c_WellTypeRT_OWTrt @ SV249 @ ( c_State_Ohp @ SY5774 ) @ SV694 @ SY5775 @ SY5776 )
| ! [SY3838: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY5775 @ SY5774 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY3838 @ SY5773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1954]) ).
thf(2408,plain,
! [SV695: $i,SV250: $i] :
( ( ! [SY5778: $i,SY5779: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV250 @ SV695 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5778 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV250 @ ( c_Expr_Oexp_OSeq @ SV695 @ ( c_Expr_Oexp_OWhile @ SV250 @ SV695 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5778 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5779 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1955]) ).
thf(2409,plain,
! [SV696: $i,SV251: $i] :
( ( ! [SY5780: $i,SY5781: $i,SY5782: $i,SY5783: $i] :
( ( c_Expr_Oexp_OSeq @ SV251 @ SV696 @ SY5780 )
!= ( c_Expr_Oexp_OFAcc @ SY5781 @ SY5782 @ SY5783 @ SY5780 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1956]) ).
thf(2410,plain,
! [SV697: $i,SV252: $i] :
( ( ! [SY5784: $i,SY5785: $i,SY5786: $i,SY5787: $i,SY5788: $i] :
( ( c_Expr_Oexp_OFAcc @ SV252 @ SV697 @ SY5784 @ SY5785 )
!= ( c_Expr_Oexp_OBinOp @ SY5786 @ SY5787 @ SY5788 @ SY5785 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1957]) ).
thf(2411,plain,
! [SV698: $i,SV253: $i] :
( ( ! [SY5789: $i,SY5790: $i,SY5791: $i,SY5792: $i] :
( ( c_Expr_Oexp_OWhile @ SV253 @ SV698 @ SY5789 )
!= ( c_Expr_Oexp_OFAcc @ SY5790 @ SY5791 @ SY5792 @ SY5789 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1958]) ).
thf(2412,plain,
! [SV699: $i,SV254: $i] :
( ( ! [SY5793: $i,SY5794: $i,SY5795: $i] :
( ! [SY5796: $i,SY5797: $i] :
( ( c_Expr_Oexp_OBinOp @ SV254 @ SV699 @ SY5793 @ SY5794 )
!= ( c_Expr_Oexp_OBinOp @ SY5795 @ SY5796 @ SY5797 @ SY5794 ) )
| ( SV254 = SY5795 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1959]) ).
thf(2413,plain,
! [SV700: $i,SV255: $i] :
( ( ! [SY5798: $i,SY5799: $i,SY5800: $i,SY5801: $i] :
( ! [SY5802: $i] :
( ( c_Expr_Oexp_OBinOp @ SV255 @ SV700 @ SY5798 @ SY5799 )
!= ( c_Expr_Oexp_OBinOp @ SY5800 @ SY5801 @ SY5802 @ SY5799 ) )
| ( SV700 = SY5801 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1960]) ).
thf(2414,plain,
! [SV701: $i,SV256: $i] :
( ( ! [SY5803: $i,SY5804: $i,SY5805: $i,SY5806: $i,SY5807: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV256 @ SV701 @ SY5803 @ SY5804 )
!= ( c_Expr_Oexp_OBinOp @ SY5805 @ SY5806 @ SY5807 @ SY5804 ) )
| ( SY5803 = SY5807 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1961]) ).
thf(2415,plain,
! [SV702: $i,SV257: $i] :
( ( ! [SY5808: $i,SY5809: $i,SY5810: $i,SY5811: $i] :
( ( c_Expr_Oexp_OVal @ SV257 @ SV702 )
!= ( c_Expr_Oexp_OFAss @ SY5808 @ SY5809 @ SY5810 @ SY5811 @ SV702 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1962]) ).
thf(2416,plain,
! [SV703: $i,SV258: $i] :
( ( ! [SY5812: $i,SY5813: $i,SY5814: $i,SY5815: $i,SY5816: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV258 @ SV703 @ SY5812 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5813 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SY5814 @ SV703 @ SY5812 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5815 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5816 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV258 @ SY5813 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5814 @ SY5815 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5816 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1963]) ).
thf(2417,plain,
! [SV704: $i,SV259: $i] :
( ( ! [SY5817: $i,SY5818: $i,SY5819: $i,SY5820: $i,SY5821: $i,SY5822: $i] :
( ( c_SmallStep_Oredp @ SV259 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5817 @ SY5818 @ SY5819 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5820 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5817 @ SY5818 @ SY5821 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5822 )
| ~ ( c_SmallStep_Oredp @ SV259 @ SY5819 @ SY5820 @ SY5821 @ SY5822 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1964]) ).
thf(2418,plain,
! [SV705: $i,SV260: $i] :
( ( ! [SY5823: $i,SY5824: $i,SY5825: $i] :
( ( c_Expr_Oexp_OVal @ SV260 @ SV705 )
!= ( c_Expr_Oexp_OFAcc @ SY5823 @ SY5824 @ SY5825 @ SV705 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1965]) ).
thf(2419,plain,
! [SV706: $i,SV261: $i] :
( ( ! [SY5826: $i,SY5827: $i,SY5828: $i] :
( ( ( c_List_Olist_OCons @ SV261 @ SV706 @ SY5826 )
!= ( c_List_Olist_OCons @ SY5827 @ SY5828 @ SY5826 ) )
| ( SV706 = SY5828 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1966]) ).
thf(2420,plain,
! [SV707: $i,SV262: $i] :
( ( ! [SY5829: $i,SY5830: $i] :
( ! [SY5831: $i] :
( ( c_List_Olist_OCons @ SV262 @ SV707 @ SY5829 )
!= ( c_List_Olist_OCons @ SY5830 @ SY5831 @ SY5829 ) )
| ( SV262 = SY5830 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1967]) ).
thf(2421,plain,
! [SV708: $i,SV263: $i] :
( ( ! [SY5832: $i,SY5833: $i,SY5834: $i] :
( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SY5832 @ ( c_Expr_Oexp_OBinOp @ SY5833 @ c_Expr_Obop_OEq @ SY5834 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY5835: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SY5832 @ SY5834 @ SY5835 )
| ! [SY5836: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SY5832 @ SY5833 @ SY5836 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1968]) ).
thf(2422,plain,
! [SV709: $i,SV264: $i] :
( ( ! [SY5837: $i,SY5838: $i,SY5839: $i,SY5840: $i,SY5841: $i] :
( ( c_Expr_Oexp_OBinOp @ SV264 @ SV709 @ SY5837 @ SY5838 )
!= ( c_Expr_Oexp_OCond @ SY5839 @ SY5840 @ SY5841 @ SY5838 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1969]) ).
thf(2423,plain,
! [SV710: $i,SV265: $i] :
( ( ! [SY5842: $i,SY5843: $i,SY5844: $i,SY5845: $i,SY5846: $i] :
( ( c_Expr_Oexp_OFAss @ SV265 @ SV710 @ SY5842 @ SY5843 @ SY5844 )
!= ( c_Expr_Oexp_OWhile @ SY5845 @ SY5846 @ SY5844 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1970]) ).
thf(2424,plain,
! [SV266: $i] :
( ( c_Type_Oty_ONT
= ( c_Type_Oty_OClass @ SV266 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1971]) ).
thf(2425,plain,
! [SV711: $i,SV267: $i] :
( ( ! [SY5847: $i,SY5848: $i,SY5849: $i,SY5850: $i,SY5851: $i,SY5852: $i] :
( ( c_Expr_Oexp_OFAcc @ SV267 @ SV711 @ SY5847 @ SY5848 )
!= ( c_Expr_Oexp_OFAss @ SY5849 @ SY5850 @ SY5851 @ SY5852 @ SY5848 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1972]) ).
thf(2426,plain,
! [SV268: $i] :
( ( ( c_Type_Oty_OClass @ SV268 )
= c_Type_Oty_OBoolean )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1973]) ).
thf(2427,plain,
! [SV712: $i,SV269: $i] :
( ( ! [SY5853: $i,SY5854: $i,SY5855: $i] :
( ( c_Expr_Oexp_OVal @ SV269 @ SV712 )
!= ( c_Expr_Oexp_OBinOp @ SY5853 @ SY5854 @ SY5855 @ SV712 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1974]) ).
thf(2428,plain,
! [SV713: $i,SV270: $i] :
( ( ! [SY5856: $i,SY5857: $i] :
( ( c_Expr_Oexp_OWhile @ SV270 @ SV713 @ SY5856 )
!= ( c_Expr_Oexp_OVal @ SY5857 @ SY5856 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1975]) ).
thf(2429,plain,
! [SV714: $i,SV271: $i] :
( ( ! [SY5858: $i,SY5859: $i,SY5860: $i,SY5861: $i] :
( ( c_Expr_Oexp_OFAcc @ SV271 @ SV714 @ SY5858 @ SY5859 )
!= ( c_Expr_Oexp_OWhile @ SY5860 @ SY5861 @ SY5859 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1976]) ).
thf(2430,plain,
! [SV715: $i,SV272: $i] :
( ( ! [SY5862: $i,SY5863: $i,SY5864: $i,SY5865: $i,SY5866: $i,SY5867: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV272 @ SV715 @ SY5862 @ SY5863 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5864 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SY5865 @ SV715 @ SY5862 @ SY5863 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5866 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5867 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV272 @ SY5864 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5865 @ SY5866 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5867 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1977]) ).
thf(2431,plain,
! [SV716: $i,SV273: $i] :
( ( ! [SY5868: $i,SY5869: $i,SY5870: $i,SY5871: $i,SY5872: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SY5868 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5869 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SY5870 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5871 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5872 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY5868 @ SY5869 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5870 @ SY5871 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5872 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1978]) ).
thf(2432,plain,
! [SV717: $i,SV274: $i] :
( ( ! [SY5873: $i,SY5874: $i,SY5875: $i,SY5876: $i,SY5877: $i] :
( ( c_Expr_Oexp_OWhile @ SV274 @ SV717 @ SY5873 )
!= ( c_Expr_Oexp_OTryCatch @ SY5874 @ SY5875 @ SY5876 @ SY5877 @ SY5873 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1979]) ).
thf(2433,plain,
! [SV718: $i,SV275: $i] :
( ( ! [SY5878: $i,SY5879: $i,SY5880: $i,SY5881: $i,SY5882: $i] :
( ( c_SmallStep_Oredp @ SV275 @ ( c_Expr_Oexp_OBinOp @ SV718 @ SY5878 @ SY5879 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5880 @ ( c_Expr_Oexp_OBinOp @ SY5881 @ SY5878 @ SY5879 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5882 )
| ~ ( c_SmallStep_Oredp @ SV275 @ SV718 @ SY5880 @ SY5881 @ SY5882 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1980]) ).
thf(2434,plain,
! [SV719: $i,SV276: $i] :
( ( ! [SY5883: $i,SY5884: $i,SY5885: $i,SY5886: $i] :
( ( c_Expr_Oexp_OSeq @ SV276 @ SV719 @ SY5883 )
!= ( c_Expr_Oexp_OBinOp @ SY5884 @ SY5885 @ SY5886 @ SY5883 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1981]) ).
thf(2435,plain,
! [SV720: $i,SV277: $i] :
( ( ! [SY5887: $i,SY5888: $i,SY5889: $i,SY5890: $i,SY5891: $i,SY5892: $i] :
( ( c_Expr_Oexp_OFAss @ SV277 @ SV720 @ SY5887 @ SY5888 @ SY5889 )
!= ( c_Expr_Oexp_OFAcc @ SY5890 @ SY5891 @ SY5892 @ SY5889 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1982]) ).
thf(2436,plain,
! [SV721: $i,SV278: $i] :
( ( ! [SY5893: $i,SY5894: $i,SY5895: $i,SY5896: $i] :
( ( c_Expr_Oexp_OBinOp @ SV278 @ SV721 @ SY5893 @ SY5894 )
!= ( c_Expr_Oexp_OSeq @ SY5895 @ SY5896 @ SY5894 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1983]) ).
thf(2437,plain,
! [SV722: $i,SV279: $i] :
( ( ! [SY5897: $i] : ( c_BigStep_Oeval @ SV279 @ ( c_Expr_Oexp_OVal @ SV722 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5897 @ ( c_Expr_Oexp_OVal @ SV722 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5897 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1984]) ).
thf(2438,plain,
! [SV723: $i,SV280: $i] :
( ( ! [SY5898: $i,SY5899: $i,SY5900: $i,SY5901: $i,SY5902: $i,SY5903: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV280 @ SV723 @ SY5898 @ SY5899 @ SY5900 )
!= ( c_Expr_Oexp_OBinOp @ SY5901 @ SY5902 @ SY5903 @ SY5900 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1985]) ).
thf(2439,plain,
! [SV724: $i,SV281: $i] :
( ( ! [SY5904: $i] :
( ( SV281
= ( c_Expr_Oexp_OVal @ SV724 @ ( tc_List_Olist @ tc_String_Ochar ) ) )
| ! [SY5905: $i,SY5906: $i] :
~ ( c_BigStep_Oeval @ SY5904 @ ( c_Expr_Oexp_OVal @ SV724 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5905 @ SV281 @ SY5906 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1986]) ).
thf(2440,plain,
! [SV725: $i,SV282: $i] :
( ( ! [SY5907: $i,SY5908: $i,SY5909: $i,SY5910: $i,SY5911: $i] :
( ( c_Expr_Oexp_OFAss @ SV282 @ SV725 @ SY5907 @ SY5908 @ SY5909 )
!= ( c_Expr_Oexp_OSeq @ SY5910 @ SY5911 @ SY5909 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1987]) ).
thf(2441,plain,
! [SV726: $i,SV283: $i] :
( ( ! [SY5912: $i,SY5913: $i] :
( ( c_Expr_Oexp_OVal @ SV283 @ SV726 )
!= ( c_Expr_Oexp_OWhile @ SY5912 @ SY5913 @ SV726 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1988]) ).
thf(2442,plain,
! [SV727: $i,SV284: $i] :
( ( ! [SY5914: $i,SY5915: $i,SY5916: $i,SY5917: $i,SY5918: $i,SY5919: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV284 @ SV727 @ SY5914 @ SY5915 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5916 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SY5917 @ SV727 @ SY5914 @ SY5915 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5919 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV284 @ SY5916 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5917 @ SY5918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5919 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1989]) ).
thf(2443,plain,
! [SV728: $i,SV285: $i] :
( ( ! [SY5920: $i,SY5921: $i,SY5922: $i,SY5923: $i,SY5924: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV285 @ SV728 @ SY5920 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5921 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SY5922 @ SV728 @ SY5920 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5923 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5924 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV285 @ SY5921 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY5922 @ SY5923 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY5924 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[1990]) ).
thf(2444,plain,
! [SV729: $i,SV286: $i] :
( ( ! [SY5925: $i,SY5926: $i,SY5927: $i,SY5928: $i,SY5929: $i,SY5930: $i] :
( ( c_Expr_Oexp_OFAcc @ SV286 @ SV729 @ SY5925 @ SY5926 )
!= ( c_Expr_Oexp_OTryCatch @ SY5927 @ SY5928 @ SY5929 @ SY5930 @ SY5926 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1991]) ).
thf(2445,plain,
! [SV730: $i,SV287: $i] :
( ( ! [SY5931: $i,SY5932: $i,SY5933: $i,SY5934: $i] :
( ( c_SmallStep_Oredp @ SV287 @ ( c_Expr_Oexp_OSeq @ SV730 @ SY5931 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5932 @ ( c_Expr_Oexp_OSeq @ SY5933 @ SY5931 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5934 )
| ~ ( c_SmallStep_Oredp @ SV287 @ SV730 @ SY5932 @ SY5933 @ SY5934 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1992]) ).
thf(2446,plain,
! [SV731: $i,SV288: $i] :
( ( ! [SY5935: $i,SY5936: $i,SY5937: $i,SY5938: $i,SY5939: $i] :
( ! [SY5940: $i,SY5941: $i] :
( ( c_Expr_Oexp_OFAss @ SV288 @ SV731 @ SY5935 @ SY5936 @ SY5937 )
!= ( c_Expr_Oexp_OFAss @ SY5938 @ SY5939 @ SY5940 @ SY5941 @ SY5937 ) )
| ( SV288 = SY5938 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1993]) ).
thf(2447,plain,
! [SV732: $i,SV289: $i] :
( ( ! [SY5942: $i,SY5943: $i,SY5944: $i,SY5945: $i,SY5946: $i] :
( ! [SY5947: $i,SY5948: $i] :
( ( c_Expr_Oexp_OFAss @ SV289 @ SV732 @ SY5942 @ SY5943 @ SY5944 )
!= ( c_Expr_Oexp_OFAss @ SY5945 @ SY5946 @ SY5947 @ SY5948 @ SY5944 ) )
| ( SV732 = SY5946 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1994]) ).
thf(2448,plain,
! [SV733: $i,SV290: $i] :
( ( ! [SY5949: $i,SY5950: $i,SY5951: $i,SY5952: $i,SY5953: $i,SY5954: $i] :
( ! [SY5955: $i] :
( ( c_Expr_Oexp_OFAss @ SV290 @ SV733 @ SY5949 @ SY5950 @ SY5951 )
!= ( c_Expr_Oexp_OFAss @ SY5952 @ SY5953 @ SY5954 @ SY5955 @ SY5951 ) )
| ( SY5949 = SY5954 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1995]) ).
thf(2449,plain,
! [SV734: $i,SV291: $i] :
( ( ! [SY5956: $i,SY5957: $i,SY5958: $i,SY5959: $i,SY5960: $i,SY5961: $i,SY5962: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV291 @ SV734 @ SY5956 @ SY5957 @ SY5958 )
!= ( c_Expr_Oexp_OFAss @ SY5959 @ SY5960 @ SY5961 @ SY5962 @ SY5958 ) )
| ( SY5957 = SY5962 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1996]) ).
thf(2450,plain,
! [SV735: $i,SV292: $i] :
( ( ! [SY5963: $i,SY5964: $i,SY5965: $i] :
( ! [SY5966: $i,SY5967: $i] :
( ( c_Expr_Oexp_OFAcc @ SV292 @ SV735 @ SY5963 @ SY5964 )
!= ( c_Expr_Oexp_OFAcc @ SY5965 @ SY5966 @ SY5967 @ SY5964 ) )
| ( SV292 = SY5965 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1997]) ).
thf(2451,plain,
! [SV736: $i,SV293: $i] :
( ( ! [SY5968: $i,SY5969: $i,SY5970: $i,SY5971: $i] :
( ! [SY5972: $i] :
( ( c_Expr_Oexp_OFAcc @ SV293 @ SV736 @ SY5968 @ SY5969 )
!= ( c_Expr_Oexp_OFAcc @ SY5970 @ SY5971 @ SY5972 @ SY5969 ) )
| ( SV736 = SY5971 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1998]) ).
thf(2452,plain,
! [SV737: $i,SV294: $i] :
( ( ! [SY5973: $i,SY5974: $i,SY5975: $i,SY5976: $i,SY5977: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV294 @ SV737 @ SY5973 @ SY5974 )
!= ( c_Expr_Oexp_OFAcc @ SY5975 @ SY5976 @ SY5977 @ SY5974 ) )
| ( SY5973 = SY5977 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1999]) ).
thf(2453,plain,
! [SV738: $i,SV295: $i] :
( ( ! [SY5978: $i,SY5979: $i,SY5980: $i,SY5981: $i,SY5982: $i] :
( ( c_List_Olist__all2 @ SV295 @ ( c_List_Olist_OCons @ SV738 @ SY5978 @ SY5979 ) @ ( c_List_Olist_OCons @ SY5980 @ SY5981 @ SY5982 ) @ SY5979 @ SY5982 )
| ~ ( c_List_Olist__all2 @ SV295 @ SY5978 @ SY5981 @ SY5979 @ SY5982 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV295 @ SV738 ) @ SY5980 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2000]) ).
thf(2454,plain,
! [SV739: $i,SV296: $i] :
( ( ! [SY5983: $i,SY5984: $i,SY5985: $i,SY5986: $i,SY5987: $i] :
( ( c_List_Olist__all2 @ SV296 @ ( c_List_Olist_OCons @ SV739 @ SY5983 @ SY5984 ) @ ( c_List_Olist_OCons @ SY5985 @ SY5986 @ SY5987 ) @ SY5984 @ SY5987 )
| ~ ( c_List_Olist__all2 @ SV296 @ SY5983 @ SY5986 @ SY5984 @ SY5987 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV296 @ SV739 ) @ SY5985 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2001]) ).
thf(2455,plain,
! [SV740: $i,SV297: $i] :
( ( ! [SY5988: $i,SY5989: $i,SY5990: $i,SY5991: $i,SY5992: $i] :
( ( c_List_Olist__all2 @ SV297 @ ( c_List_Olist_OCons @ SV740 @ SY5988 @ SY5989 ) @ ( c_List_Olist_OCons @ SY5990 @ SY5991 @ SY5992 ) @ SY5989 @ SY5992 )
| ~ ( c_List_Olist__all2 @ SV297 @ SY5988 @ SY5991 @ SY5989 @ SY5992 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV297 @ SV740 ) @ SY5990 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2002]) ).
thf(2456,plain,
! [SV741: $i,SV298: $i] :
( ( ! [SY5993: $i,SY5994: $i,SY5995: $i,SY5996: $i] :
( ( c_Expr_Oexp_OFAcc @ SV298 @ SV741 @ SY5993 @ SY5994 )
!= ( c_Expr_Oexp_OSeq @ SY5995 @ SY5996 @ SY5994 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2457,plain,
! [SV742: $i,SV299: $i] :
( ( ! [SY5997: $i,SY5998: $i,SY5999: $i,SY6000: $i] :
( ( c_Expr_Oexp_OWhile @ SV299 @ SV742 @ SY5997 )
!= ( c_Expr_Oexp_OBinOp @ SY5998 @ SY5999 @ SY6000 @ SY5997 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2004]) ).
thf(2458,plain,
! [SV743: $i,SV300: $i] :
( ( ( ( c_Type_Oty_OClass @ SV300 )
!= ( c_Type_Oty_OClass @ SV743 ) )
| ( SV300 = SV743 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2005]) ).
thf(2459,plain,
! [SV744: $i,SV301: $i] :
( ( ! [SY6001: $i,SY6002: $i,SY6003: $i,SY6004: $i,SY6005: $i,SY6006: $i] :
( ( c_Expr_Oexp_OBinOp @ SV301 @ SV744 @ SY6001 @ SY6002 )
!= ( c_Expr_Oexp_OFAss @ SY6003 @ SY6004 @ SY6005 @ SY6006 @ SY6002 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2006]) ).
thf(2460,plain,
! [SV745: $i,SV302: $i] :
( ( ! [SY6007: $i,SY6008: $i,SY6009: $i,SY6010: $i] :
( ( c_Expr_Oexp_OBinOp @ SV302 @ SV745 @ SY6007 @ SY6008 )
!= ( c_Expr_Oexp_OWhile @ SY6009 @ SY6010 @ SY6008 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2007]) ).
thf(2461,plain,
! [SV746: $i,SV303: $i] :
( ( ! [SY6011: $i,SY6012: $i,SY6013: $i] :
( ( c_Expr_Oexp_OSeq @ SV303 @ SV746 @ SY6011 )
!= ( c_Expr_Oexp_OWhile @ SY6012 @ SY6013 @ SY6011 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2008]) ).
thf(2462,plain,
! [SV747: $i,SV304: $i] :
( ( ! [SY6014: $i,SY6015: $i,SY6016: $i,SY6017: $i,SY6018: $i,SY6019: $i,SY6020: $i] :
( ( c_Expr_Oexp_OFAss @ SV304 @ SV747 @ SY6014 @ SY6015 @ SY6016 )
!= ( c_Expr_Oexp_OTryCatch @ SY6017 @ SY6018 @ SY6019 @ SY6020 @ SY6016 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2009]) ).
thf(2463,plain,
! [SV748: $i,SV305: $i] :
( ( ! [SY6021: $i,SY6022: $i,SY6023: $i,SY6024: $i,SY6025: $i] :
( ( c_Expr_Oexp_OCond @ SV305 @ SV748 @ SY6021 @ SY6022 )
!= ( c_Expr_Oexp_OBinOp @ SY6023 @ SY6024 @ SY6025 @ SY6022 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2010]) ).
thf(2464,plain,
! [SV749: $i,SV306: $i] :
( ( ! [SY6026: $i,SY6027: $i,SY6028: $i,SY6029: $i,SY6030: $i,SY6031: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SY6026 @ SY6027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6028 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SY6026 @ SY6029 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6030 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6031 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY6027 @ SY6028 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY6029 @ SY6030 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6031 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2011]) ).
thf(2465,plain,
! [SV750: $i,SV307: $i] :
( ( ! [SY6032: $i,SY6033: $i,SY6034: $i,SY6035: $i,SY6036: $i] :
( ( c_SmallStep_Oredp @ SV307 @ ( c_Expr_Oexp_OCond @ SV750 @ SY6032 @ SY6033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6034 @ ( c_Expr_Oexp_OCond @ SY6035 @ SY6032 @ SY6033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6036 )
| ~ ( c_SmallStep_Oredp @ SV307 @ SV750 @ SY6034 @ SY6035 @ SY6036 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2012]) ).
thf(2466,plain,
! [SV751: $i,SV308: $i] :
( ( ! [SY6037: $i,SY6038: $i,SY6039: $i,SY6040: $i,SY6041: $i] :
( ( c_Expr_Oexp_OBinOp @ SV308 @ SV751 @ SY6037 @ SY6038 )
!= ( c_Expr_Oexp_OFAcc @ SY6039 @ SY6040 @ SY6041 @ SY6038 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2013]) ).
thf(2467,plain,
! [SV752: $i,SV309: $i] :
( ( ! [SY6042: $i,SY6043: $i,SY6044: $i] :
( ( c_List_Olist__all2 @ SV309 @ SV752 @ SY6042 @ SY6043 @ SY6044 )
| ! [SY6045: $i,SY6046: $i] :
~ ( c_List_Olist__all2 @ SV309 @ ( c_List_Olist_OCons @ SY6045 @ SV752 @ SY6043 ) @ ( c_List_Olist_OCons @ SY6046 @ SY6042 @ SY6044 ) @ SY6043 @ SY6044 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2014]) ).
thf(2468,plain,
! [SV753: $i,SV310: $i] :
( ( ! [SY6047: $i,SY6048: $i,SY6049: $i,SY6050: $i,SY6051: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV310 @ SV753 @ SY6047 @ SY6048 @ SY6049 )
!= ( c_Expr_Oexp_OWhile @ SY6050 @ SY6051 @ SY6049 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2015]) ).
thf(2469,plain,
! [SV754: $i,SV311: $i] :
( ( ! [SY6052: $i,SY6053: $i,SY6054: $i] :
( ( c_Objects_Ohext @ SV311 @ SV754 )
| ! [SY6055: $i,SY6056: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY6052 @ ( c_Pair @ SV311 @ SY6053 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY6054 @ ( c_Pair @ SV754 @ SY6055 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6056 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2016]) ).
thf(2470,plain,
! [SV755: $i,SV312: $i] :
( ( ! [SY6057: $i,SY6058: $i,SY6059: $i,SY6060: $i,SY6061: $i,SY6062: $i,SY6063: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV312 @ SV755 @ SY6057 @ SY6058 @ SY6059 )
!= ( c_Expr_Oexp_OFAss @ SY6060 @ SY6061 @ SY6062 @ SY6063 @ SY6059 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2017]) ).
thf(2471,plain,
! [SV756: $i,SV313: $i] :
( ( ! [SY6064: $i,SY6065: $i,SY6066: $i] :
( ( c_Expr_Oexp_OBinOp @ SV313 @ SV756 @ SY6064 @ SY6065 )
!= ( c_Expr_Oexp_OVal @ SY6066 @ SY6065 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2018]) ).
thf(2472,plain,
! [SV757: $i,SV314: $i] :
( ( ! [SY6067: $i,SY6068: $i,SY6069: $i,SY6070: $i,SY6071: $i,SY6072: $i] :
( ( c_Expr_Oexp_OCond @ SV314 @ SV757 @ SY6067 @ SY6068 )
!= ( c_Expr_Oexp_OFAss @ SY6069 @ SY6070 @ SY6071 @ SY6072 @ SY6068 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2019]) ).
thf(2473,plain,
! [SV758: $i,SV315: $i] :
( ( ! [SY6073: $i,SY6074: $i,SY6075: $i,SY6076: $i,SY6077: $i,SY6078: $i] :
( ( c_SmallStep_Oredp @ SV315 @ ( c_Expr_Oexp_OFAss @ SV758 @ SY6073 @ SY6074 @ SY6075 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6076 @ ( c_Expr_Oexp_OFAss @ SY6077 @ SY6073 @ SY6074 @ SY6075 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6078 )
| ~ ( c_SmallStep_Oredp @ SV315 @ SV758 @ SY6076 @ SY6077 @ SY6078 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2020]) ).
thf(2474,plain,
! [SV759: $i,SV316: $i] :
( ( ! [SY6079: $i,SY6080: $i,SY6081: $i,SY6082: $i,SY6083: $i] :
( ( c_SmallStep_Oredp @ SV316 @ ( c_Expr_Oexp_OFAcc @ SV759 @ SY6079 @ SY6080 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6081 @ ( c_Expr_Oexp_OFAcc @ SY6082 @ SY6079 @ SY6080 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6083 )
| ~ ( c_SmallStep_Oredp @ SV316 @ SV759 @ SY6081 @ SY6082 @ SY6083 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2021]) ).
thf(2475,plain,
! [SV760: $i,SV317: $i] :
( ( ! [SY6084: $i,SY6085: $i,SY6086: $i] :
( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SY6084 @ ( c_Expr_Oexp_OBinOp @ SY6085 @ c_Expr_Obop_OEq @ SY6086 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY6087: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SY6084 @ SY6086 @ SY6087 )
| ! [SY6088: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SY6084 @ SY6085 @ SY6088 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2022]) ).
thf(2476,plain,
! [SV761: $i,SV318: $i] :
( ( ! [SY6089: $i,SY6090: $i,SY6091: $i,SY6092: $i] :
( ( c_Expr_Oexp_OWhile @ SV318 @ SV761 @ SY6089 )
!= ( c_Expr_Oexp_OCond @ SY6090 @ SY6091 @ SY6092 @ SY6089 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2023]) ).
thf(2477,plain,
! [SV319: $i] :
( ( c_Type_Oty_OBoolean
= ( c_Type_Oty_OClass @ SV319 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2024]) ).
thf(2478,plain,
! [SV762: $i,SV320: $i] :
( ( ! [SY6093: $i,SY6094: $i,SY6095: $i,SY6096: $i,SY6097: $i,SY6098: $i] :
( ( c_SmallStep_Oredp @ SV320 @ ( c_Expr_Oexp_OTryCatch @ SV762 @ SY6093 @ SY6094 @ SY6095 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6096 @ ( c_Expr_Oexp_OTryCatch @ SY6097 @ SY6093 @ SY6094 @ SY6095 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6098 )
| ~ ( c_SmallStep_Oredp @ SV320 @ SV762 @ SY6096 @ SY6097 @ SY6098 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2025]) ).
thf(2479,plain,
! [SV763: $i,SV321: $i] :
( ( ! [SY6099: $i,SY6100: $i,SY6101: $i,SY6102: $i,SY6103: $i,SY6104: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV321 @ SV763 @ SY6099 @ SY6100 @ SY6101 )
!= ( c_Expr_Oexp_OFAcc @ SY6102 @ SY6103 @ SY6104 @ SY6101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2026]) ).
thf(2480,plain,
! [SV764: $i,SV322: $i] :
( ( ! [SY6105: $i,SY6106: $i,SY6107: $i,SY6108: $i,SY6109: $i] :
( ( c_Expr_Oexp_OCond @ SV322 @ SV764 @ SY6105 @ SY6106 )
!= ( c_Expr_Oexp_OFAcc @ SY6107 @ SY6108 @ SY6109 @ SY6106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2027]) ).
thf(2481,plain,
! [SV765: $i,SV323: $i] :
( ( ! [SY6110: $i,SY6111: $i,SY6112: $i,SY6113: $i] :
( ( c_Expr_Oexp_OFAss @ SV323 @ SV765 @ SY6110 @ SY6111 @ SY6112 )
!= ( c_Expr_Oexp_OVal @ SY6113 @ SY6112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2028]) ).
thf(2482,plain,
! [SV766: $i,SV324: $i] :
( ( ! [SY6114: $i,SY6115: $i,SY6116: $i,SY6117: $i] :
( ( c_Expr_Oexp_OCond @ SV324 @ SV766 @ SY6114 @ SY6115 )
!= ( c_Expr_Oexp_OWhile @ SY6116 @ SY6117 @ SY6115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2029]) ).
thf(2483,plain,
! [SV767: $i,SV325: $i] :
( ( ! [SY6118: $i,SY6119: $i,SY6120: $i,SY6121: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV325 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SY6119 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6121 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV325 @ SY6118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY6119 @ SY6120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6121 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2030]) ).
thf(2484,plain,
! [SV768: $i,SV326: $i] :
( ( ! [SY6122: $i] : ( c_in @ SV326 @ SV768 @ SY6122 )
| ~ ( hBOOL @ ( hAPP @ SV768 @ SV326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2031]) ).
thf(2485,plain,
! [SV769: $i,SV327: $i] :
( ( ( hBOOL @ ( hAPP @ SV327 @ SV769 ) )
| ! [SY6123: $i] :
~ ( c_in @ SV769 @ SV327 @ SY6123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2032]) ).
thf(2486,plain,
! [SV770: $i,SV328: $i] :
( ( ! [SY6124: $i,SY6125: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ SV328 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV770 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6124 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV770 @ SY6124 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6125 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2033]) ).
thf(2487,plain,
! [SV771: $i,SV329: $i] :
( ( ! [SY6126: $i,SY6127: $i,SY6128: $i] :
( ( c_Expr_Oexp_OFAcc @ SV329 @ SV771 @ SY6126 @ SY6127 )
!= ( c_Expr_Oexp_OVal @ SY6128 @ SY6127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2034]) ).
thf(2488,plain,
! [SV330: $i] :
( ( ( c_Type_Oty_OClass @ SV330 )
= c_Type_Oty_ONT )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2035]) ).
thf(2489,plain,
! [SV772: $i,SV331: $i] :
( ( ! [SY6129: $i,SY6130: $i,SY6131: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV331 @ SV772 ) @ SY6129 ) )
| ! [SY6132: $i,SY6133: $i] :
~ ( c_List_Olist__all2 @ SV331 @ ( c_List_Olist_OCons @ SV772 @ SY6130 @ SY6131 ) @ ( c_List_Olist_OCons @ SY6129 @ SY6132 @ SY6133 ) @ SY6131 @ SY6133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2036]) ).
thf(2490,plain,
! [SV773: $i,SV332: $i] :
( ( ! [SY6134: $i,SY6135: $i,SY6136: $i,SY6137: $i,SY6138: $i] :
( ( c_SmallStep_Oredp @ SV332 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6134 @ SY6135 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6136 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6134 @ SY6137 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6138 )
| ~ ( c_SmallStep_Oredp @ SV332 @ SY6135 @ SY6136 @ SY6137 @ SY6138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2037]) ).
thf(2491,plain,
! [SV774: $i,SV333: $i] :
( ( ! [SY6139: $i,SY6140: $i,SY6141: $i,SY6142: $i,SY6143: $i] :
( ( c_Expr_Oexp_OFAcc @ SV333 @ SV774 @ SY6139 @ SY6140 )
!= ( c_Expr_Oexp_OCond @ SY6141 @ SY6142 @ SY6143 @ SY6140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2038]) ).
thf(2492,plain,
! [SV775: $i,SV334: $i] :
( ( ! [SY6144: $i] :
( ( SV334 = SV775 )
| ! [SY6145: $i,SY6146: $i] :
~ ( c_BigStep_Oeval @ SY6144 @ ( c_Expr_Oexp_OVal @ SY6145 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV775 @ SY6146 @ SV334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2039]) ).
thf(2493,plain,
! [SV776: $i,SV335: $i] :
( ( ! [SY6147: $i,SY6148: $i,SY6149: $i,SY6150: $i,SY6151: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV335 @ SV776 @ SY6147 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6148 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SY6149 @ SV776 @ SY6147 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6150 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6151 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV335 @ SY6148 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY6149 @ SY6150 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6151 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2040]) ).
thf(2494,plain,
! [SV777: $i,SV336: $i] :
( ( ! [SY6152: $i,SY6153: $i,SY6154: $i,SY6155: $i,SY6156: $i,SY6157: $i] :
( ( c_Expr_Oexp_OFAss @ SV336 @ SV777 @ SY6152 @ SY6153 @ SY6154 )
!= ( c_Expr_Oexp_OCond @ SY6155 @ SY6156 @ SY6157 @ SY6154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2041]) ).
thf(2495,plain,
! [SV778: $i,SV337: $i] :
( ( ! [SY6158: $i,SY6159: $i] :
( ! [SY6160: $i] :
( ( c_Expr_Oexp_OWhile @ SV337 @ SV778 @ SY6158 )
!= ( c_Expr_Oexp_OWhile @ SY6159 @ SY6160 @ SY6158 ) )
| ( SV337 = SY6159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2042]) ).
thf(2496,plain,
! [SV779: $i,SV338: $i] :
( ( ! [SY6161: $i,SY6162: $i,SY6163: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV338 @ SV779 @ SY6161 )
!= ( c_Expr_Oexp_OWhile @ SY6162 @ SY6163 @ SY6161 ) )
| ( SV779 = SY6163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2043]) ).
thf(2497,plain,
! [SV780: $i,SV339: $i] :
( ( ! [SY6164: $i,SY6165: $i,SY6166: $i,SY6167: $i,SY6168: $i,SY6169: $i] :
( ( c_Expr_Oexp_OBinOp @ SV339 @ SV780 @ SY6164 @ SY6165 )
!= ( c_Expr_Oexp_OTryCatch @ SY6166 @ SY6167 @ SY6168 @ SY6169 @ SY6165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2044]) ).
thf(2498,plain,
! [SV781: $i,SV340: $i] :
( ( ! [SY6170: $i,SY6171: $i,SY6172: $i] :
( ( c_Expr_Oexp_OWhile @ SV340 @ SV781 @ SY6170 )
!= ( c_Expr_Oexp_OSeq @ SY6171 @ SY6172 @ SY6170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2045]) ).
thf(2499,plain,
! [SV782: $i,SV341: $i] :
( ( ! [SY6173: $i] :
( ( c_List_Olist_OCons @ SV341 @ SV782 @ SY6173 )
!= SV782 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2046]) ).
thf(2500,plain,
! [SV783: $i,SV342: $i] :
( ( ! [SY6174: $i] :
( SV342
!= ( c_List_Olist_OCons @ SV783 @ SV342 @ SY6174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2047]) ).
thf(2501,plain,
! [SV784: $i,SV343: $i] :
( ( ! [SY6175: $i,SY6176: $i,SY6177: $i,SY6178: $i,SY6179: $i] :
( ( c_Expr_Oexp_OSeq @ SV343 @ SV784 @ SY6175 )
!= ( c_Expr_Oexp_OFAss @ SY6176 @ SY6177 @ SY6178 @ SY6179 @ SY6175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2048]) ).
thf(2502,plain,
! [SV785: $i,SV344: $i] :
( ( ! [SY6180: $i,SY6181: $i,SY6182: $i,SY6183: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ SV344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV785 @ SY6180 @ SY6181 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6182 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6182 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6183 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2049]) ).
thf(2503,plain,
! [SV786: $i,SV345: $i] :
( ( ! [SY6184: $i,SY6185: $i,SY6186: $i,SY6187: $i,SY6188: $i,SY6189: $i] :
( ( c_Expr_Oexp_OFAss @ SV345 @ SV786 @ SY6184 @ SY6185 @ SY6186 )
!= ( c_Expr_Oexp_OBinOp @ SY6187 @ SY6188 @ SY6189 @ SY6186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2050]) ).
thf(2504,plain,
! [SV787: $i,SV346: $i] :
( ( ! [SY6190: $i,SY6191: $i,SY6192: $i,SY6193: $i,SY6194: $i] :
( ( c_Expr_Oexp_OWhile @ SV346 @ SV787 @ SY6190 )
!= ( c_Expr_Oexp_OFAss @ SY6191 @ SY6192 @ SY6193 @ SY6194 @ SY6190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2505,plain,
! [SV788: $i,SV347: $i] :
( ( ! [SY6195: $i,SY6196: $i,SY6197: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SY6195 ) @ SY6196 @ SY6197 @ tc_Value_Oval @ tc_Type_Oty )
| ! [SY6198: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV347 @ SY6195 ) @ SY6198 @ SY6197 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SY6195 ) @ SY6196 @ SY6198 @ tc_Value_Oval @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2052]) ).
thf(2506,plain,
! [SV789: $i,SV348: $i] :
( ( ! [SY6199: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV348 @ SV789 ) @ c_Type_Oty_ONT ) @ SY6199 ) )
| ! [SY6200: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV348 @ SY6200 @ SV789 ) @ c_Value_Oval_ONull ) @ SY6199 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2053]) ).
thf(2507,plain,
! [SV790: $i,SV349: $i] :
( ( ! [SY6201: $i,SY6202: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV349 @ SV790 @ SY6201 ) @ c_Value_Oval_ONull ) @ SY6202 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV349 @ SY6201 ) @ c_Type_Oty_ONT ) @ SY6202 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2054]) ).
thf(2508,plain,
! [SV791: $i,SV350: $i] :
( ( ! [SY6203: $i,SY6204: $i,SY6205: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV350 @ SV791 @ SY6203 )
!= ( c_Expr_Oexp_OSeq @ SY6204 @ SY6205 @ SY6203 ) )
| ( SV791 = SY6205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2055]) ).
thf(2509,plain,
! [SV792: $i,SV351: $i] :
( ( ! [SY6206: $i,SY6207: $i] :
( ! [SY6208: $i] :
( ( c_Expr_Oexp_OSeq @ SV351 @ SV792 @ SY6206 )
!= ( c_Expr_Oexp_OSeq @ SY6207 @ SY6208 @ SY6206 ) )
| ( SV351 = SY6207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2056]) ).
thf(2510,plain,
! [SV793: $i,SV352: $i] :
( ( ! [SY6209: $i,SY6210: $i] :
( ( c_Expr_Oexp_OSeq @ SV352 @ SV793 @ SY6209 )
!= ( c_Expr_Oexp_OVal @ SY6210 @ SY6209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2057]) ).
thf(2511,plain,
! [SV794: $i,SV353: $i] :
( ( ! [SY6211: $i,SY6212: $i,SY6213: $i,SY6214: $i,SY6215: $i,SY6216: $i] :
( ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SY6211 @ SY6212 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SY6213 @ SY6211 @ SV353 @ SY6214 @ SY6215 @ SY6212 @ SY6216 @ SV794 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SY6211 @ ( c_Expr_Oexp_OTryCatch @ SY6212 @ SY6213 @ SY6215 @ SY6216 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2059]) ).
thf(2512,plain,
! [SV795: $i,SV354: $i] :
( ( ! [SY6217: $i,SY6218: $i,SY6219: $i] :
( ( c_Objects_Ohext @ SV354 @ SV795 )
| ! [SY6220: $i,SY6221: $i] :
~ ( c_BigStep_Oevals @ SY6217 @ SY6218 @ ( c_Pair @ SV354 @ SY6219 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SY6220 @ ( c_Pair @ SV795 @ SY6221 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2060]) ).
thf(2513,plain,
! [SV796: $i,SV355: $i] :
( ( ! [SY6222: $i] :
( ( c_WellType_OWT @ SV355 @ SV796 @ SY6222 @ c_Type_Oty_OBoolean )
| ! [SY6223: $i,SY6224: $i] :
~ ( c_WellType_OWT @ SV355 @ SV796 @ ( c_Expr_Oexp_OWhile @ SY6222 @ SY6223 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2061]) ).
thf(2514,plain,
! [SV797: $i,SV356: $i] :
( ( ! [SY6225: $i,SY6226: $i,SY6227: $i] :
( ( SV356
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SY6225 @ SV356 @ SY6226 @ SY6227 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SY6225 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV797 @ SY6225 @ SV356 @ SY6226 @ SY6227 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SY6225 @ SV356 @ SY6226 @ SY6227 ) ) )
| ! [SY6228: $i] :
~ ( c_WellType_OWT @ SY6225 @ SV797 @ ( c_Expr_Oexp_OCond @ SY6228 @ SY6226 @ SY6227 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2062]) ).
thf(2515,plain,
! [SV798: $i,SV357: $i] :
( ( ! [SY6229: $i,SY6230: $i,SY6231: $i,SY6232: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SY6229 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY6229 ) @ SV798 ) )
| ~ ( c_Progress_OWTrt_H @ SV357 @ SY6230 @ SY6231 @ SY6232 @ SY6229 )
| ! [SY6233: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SY6230 @ SY6231 @ SY6233 @ SV798 )
| ! [SY6234: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SY6230 @ SY6231 @ SY6234 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SY6230 @ SY6231 @ ( c_Expr_Oexp_OCond @ SY6234 @ SY6233 @ SY6232 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2063]) ).
thf(2516,plain,
! [SV799: $i,SV358: $i] :
( ( ! [SY6235: $i,SY6236: $i,SY6237: $i,SY6238: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SY6235 ) )
| ~ ( c_Progress_OWTrt_H @ SV358 @ SY6236 @ SY6237 @ SY6238 @ SY6235 )
| ! [SY6239: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SY6236 @ SY6237 @ SY6239 @ SV799 )
| ! [SY6240: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SY6236 @ SY6237 @ SY6240 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SY6236 @ SY6237 @ ( c_Expr_Oexp_OCond @ SY6240 @ SY6239 @ SY6238 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6235 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY6235 ) @ SV799 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2064]) ).
thf(2517,plain,
! [SV800: $i,SV359: $i] :
( ( ! [SY6241: $i,SY6242: $i,SY6243: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV800 @ SY6241 ) @ SY6242 ) @ SY6243 ) )
| ! [SY6244: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SY6244 @ SY6241 ) @ SY6242 ) @ SY6243 ) )
| ~ ( c_Objects_Ohext @ SY6244 @ SV800 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2065]) ).
thf(2518,plain,
! [SV801: $i,SV361: $i] :
( ( ! [SY6245: $i,SY6246: $i,SY6247: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV801 @ SY6245 ) @ SY6246 @ SY6247 @ tc_Value_Oval @ tc_Type_Oty )
| ! [SY6248: $i] :
( ~ ( c_Objects_Ohext @ SY6248 @ SV801 )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SY6248 @ SY6245 ) @ SY6246 @ SY6247 @ tc_Value_Oval @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2067]) ).
thf(2519,plain,
! [SV802: $i,SV362: $i] :
( ( ( c_Objects_Ohext @ SV362 @ SV802 )
| ! [SY6249: $i] :
( ~ ( c_Objects_Ohext @ SY6249 @ SV802 )
| ~ ( c_Objects_Ohext @ SV362 @ SY6249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2068]) ).
thf(2520,plain,
! [SV803: $i,SV363: $i] :
( ( ! [SY6250: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV363 @ SV803 ) @ c_Type_Oty_ONT ) @ ( c_Type_Oty_OClass @ SY6250 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2069]) ).
thf(2521,plain,
! [SV804: $i,SV364: $i] :
( ( ! [SY6251: $i,SY6252: $i,SY6253: $i,SY6254: $i] : ( c_SmallStep_Oredp @ SV364 @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ SV804 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6251 @ SY6252 @ SY6253 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6254 @ ( c_Expr_Oexp_OVal @ SV804 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6254 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2070]) ).
thf(2522,plain,
! [SV805: $i,SV365: $i] :
( ( ! [SY6255: $i,SY6256: $i] :
( ( c_WellType_OWT @ SV365 @ SV805 @ SY6255 @ c_Type_Oty_OBoolean )
| ! [SY6257: $i,SY6258: $i] :
~ ( c_WellType_OWT @ SV365 @ SV805 @ ( c_Expr_Oexp_OCond @ SY6255 @ SY6256 @ SY6257 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2071]) ).
thf(2523,plain,
! [SV806: $i,SV366: $i] :
( ( ! [SY6259: $i,SY6260: $i,SY6261: $i,SY6262: $i,SY6263: $i,SY6264: $i] :
( ( c_Expr_Oexp_OCond @ SV366 @ SV806 @ SY6259 @ SY6260 )
!= ( c_Expr_Oexp_OTryCatch @ SY6261 @ SY6262 @ SY6263 @ SY6264 @ SY6260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2072]) ).
thf(2524,plain,
! [SV807: $i,SV367: $i] :
( ( ( SV367 = SV807 )
| ! [SY6265: $i] :
~ ( c_List_Olist__all2 @ ( c_fequal @ SY6265 ) @ SV367 @ SV807 @ SY6265 @ SY6265 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2073]) ).
thf(2525,plain,
! [SV808: $i,SV368: $i] :
( ( ! [SY6266: $i,SY6267: $i,SY6268: $i] :
( ( c_Expr_Oexp_OVal @ SV368 @ SV808 )
!= ( c_Expr_Oexp_OCond @ SY6266 @ SY6267 @ SY6268 @ SV808 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2074]) ).
thf(2526,plain,
! [SV809: $i,SV369: $i] :
( ( ( c_COMBI @ SV369 @ SV809 )
= SV369 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2076]) ).
thf(2527,plain,
! [SV810: $i,SV370: $i] :
( ( ! [SY6269: $i,SY6270: $i,SY6271: $i] :
( ( c_Decl_Ois__class @ SV370 @ SV810 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY6272: $i,SY6273: $i] :
~ ( c_WellType_OWT @ SV370 @ SY6269 @ ( c_Expr_Oexp_OTryCatch @ SY6270 @ SV810 @ SY6271 @ SY6272 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2077]) ).
thf(2528,plain,
! [SV811: $i,SV371: $i] :
( ( ! [SY6274: $i,SY6275: $i,SY6276: $i,SY6277: $i] :
( ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SY6274 @ SY6275 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SY6274 @ SV371 @ SY6276 @ SY6277 @ SY6275 @ SV811 ) )
| ! [SY6278: $i] :
~ ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SY6274 @ ( c_Expr_Oexp_OCond @ SY6278 @ SY6277 @ SY6275 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2078]) ).
thf(2529,plain,
! [SV812: $i,SV372: $i] :
( ( ! [SY6279: $i,SY6280: $i,SY6281: $i,SY6282: $i] :
( ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SY6279 @ SY6280 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SY6279 @ SV372 @ SY6281 @ SY6280 @ SY6282 @ SV812 ) )
| ! [SY6283: $i] :
~ ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SY6279 @ ( c_Expr_Oexp_OCond @ SY6283 @ SY6280 @ SY6282 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2079]) ).
thf(2530,plain,
! [SV813: $i,SV373: $i] :
( ( ! [SY6284: $i,SY6285: $i] :
( ( c_WellType_OWT @ SV373 @ SV813 @ ( c_Expr_Oexp_OBinOp @ SY6284 @ c_Expr_Obop_OEq @ SY6285 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY6286: $i,SY6287: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV373 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY6286 ) @ SY6287 ) )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SY6285 @ SY6287 )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SY6284 @ SY6286 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2080]) ).
thf(2531,plain,
! [SV814: $i,SV374: $i] :
( ( ! [SY6288: $i,SY6289: $i] :
( ( c_WellType_OWT @ SV374 @ SV814 @ ( c_Expr_Oexp_OBinOp @ SY6288 @ c_Expr_Obop_OEq @ SY6289 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY6290: $i,SY6291: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV374 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY6290 ) @ SY6291 ) )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SY6289 @ SY6290 )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SY6288 @ SY6291 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2081]) ).
thf(2532,plain,
! [SV815: $i,SV375: $i] :
( ( ! [SY6292: $i,SY6293: $i,SY6294: $i] :
( ( c_Expr_Oexp_OCond @ SV375 @ SV815 @ SY6292 @ SY6293 )
!= ( c_Expr_Oexp_OVal @ SY6294 @ SY6293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2082]) ).
thf(2533,plain,
! [SV816: $i,SV376: $i] :
( ( ! [SY6295: $i,SY6296: $i,SY6297: $i,SY6298: $i] :
( ( c_Expr_Oexp_OSeq @ SV376 @ SV816 @ SY6295 )
!= ( c_Expr_Oexp_OCond @ SY6296 @ SY6297 @ SY6298 @ SY6295 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2083]) ).
thf(2534,plain,
! [SV817: $i,SV377: $i] :
( ( ! [SY6299: $i,SY6300: $i,SY6301: $i,SY6302: $i] :
( ( SV377
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SY6299 @ SV377 @ SY6300 @ SY6301 @ SY6302 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SY6299 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV817 @ SY6299 @ SV377 @ SY6300 @ SY6301 @ SY6302 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SY6299 @ SV377 @ SY6300 @ SY6301 @ SY6302 ) ) )
| ! [SY6303: $i] :
~ ( c_WellTypeRT_OWTrt @ SY6299 @ SY6302 @ SV817 @ ( c_Expr_Oexp_OCond @ SY6303 @ SY6300 @ SY6301 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2535,plain,
! [SV818: $i,SV378: $i] :
( ( ! [SY6304: $i,SY6305: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) )
| ~ ( c_WellType_OWT @ SV378 @ SY6304 @ SY6305 @ SV818 )
| ! [SY6306: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SY6304 @ SY6306 @ SV818 )
| ! [SY6307: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SY6304 @ SY6307 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV378 @ SY6304 @ ( c_Expr_Oexp_OCond @ SY6307 @ SY6306 @ SY6305 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2085]) ).
thf(2536,plain,
! [SV819: $i,SV379: $i] :
( ( ! [SY6308: $i] : ( c_Map_Omap__le @ SV379 @ SV379 @ SV819 @ SY6308 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2086]) ).
thf(2537,plain,
! [SV820: $i,SV380: $i] :
( ( ! [SY6309: $i,SY6310: $i] :
( ( c_Map_Omap__le @ SV380 @ SV820 @ SY6309 @ SY6310 )
| ! [SY6311: $i] :
( ~ ( c_Map_Omap__le @ SY6311 @ SV820 @ SY6309 @ SY6310 )
| ~ ( c_Map_Omap__le @ SV380 @ SY6311 @ SY6309 @ SY6310 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2087]) ).
thf(2538,plain,
! [SV821: $i,SV381: $i] :
( ( ! [SY6312: $i,SY6313: $i] :
( ( c_WellType_OWT @ SV381 @ SV821 @ SY6312 @ SY6313 )
| ! [SY6314: $i] :
( ~ ( c_Map_Omap__le @ SY6314 @ SV821 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellType_OWT @ SV381 @ SY6314 @ SY6312 @ SY6313 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2088]) ).
thf(2539,plain,
! [SV822: $i,SV382: $i] :
( ( ! [SY6315: $i,SY6316: $i,SY6317: $i] :
( ( c_Objects_Ohext @ SV382 @ SV822 )
| ! [SY6318: $i,SY6319: $i] :
~ ( c_BigStep_Oeval @ SY6315 @ SY6316 @ ( c_Pair @ SV382 @ SY6317 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SY6318 @ ( c_Pair @ SV822 @ SY6319 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2089]) ).
thf(2540,plain,
! [SV823: $i,SV383: $i] :
( ( ! [SY6320: $i,SY6321: $i,SY6322: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
| ~ ( c_Progress_OWTrt_H @ SV383 @ SY6320 @ SY6321 @ SY6322 @ SV823 )
| ! [SY6323: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SY6320 @ SY6321 @ SY6323 @ SV823 )
| ! [SY6324: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SY6320 @ SY6321 @ SY6324 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SY6320 @ SY6321 @ ( c_Expr_Oexp_OCond @ SY6324 @ SY6323 @ SY6322 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2090]) ).
thf(2541,plain,
! [SV824: $i,SV384: $i] :
( ( ! [SY6325: $i,SY6326: $i,SY6327: $i] :
( ( c_WellType_OWT @ SV384 @ SV824 @ SY6325 @ SY6326 )
| ! [SY6328: $i,SY6329: $i] :
~ ( c_WellType_OWT @ SV384 @ SV824 @ ( c_Expr_Oexp_OTryCatch @ SY6325 @ SY6327 @ SY6328 @ SY6329 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2091]) ).
thf(2542,plain,
! [SV825: $i,SV385: $i] :
( ( ! [SY6330: $i,SY6331: $i,SY6332: $i] :
( ! [SY6333: $i,SY6334: $i] : ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SY6330 @ ( c_Expr_Oexp_OFAcc @ SY6331 @ SY6332 @ SY6333 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6334 )
| ~ ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SY6330 @ SY6331 @ c_Type_Oty_ONT ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2092]) ).
thf(2543,plain,
! [SV826: $i,SV386: $i] :
( ( ! [SY6335: $i,SY6336: $i,SY6337: $i,SY6338: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SY6335 @ SY6336 @ SY6337 @ SY6338 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SY6335 @ SY6336 @ SY6337 @ SY6338 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SY6335 @ SY6336 @ SY6337 @ SY6338 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SY6335 @ SY6336 @ SY6337 @ SY6338 ) ) )
| ! [SY6339: $i] :
~ ( c_WellTypeRT_OWTrt @ SV386 @ SY6338 @ SV826 @ ( c_Expr_Oexp_OCond @ SY6339 @ SY6336 @ SY6337 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2093]) ).
thf(2544,plain,
! [SV827: $i,SV387: $i] :
( ( ! [SY6340: $i,SY6341: $i,SY6342: $i] :
( ! [SY6343: $i,SY6344: $i] : ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SY6340 @ ( c_Expr_Oexp_OFAcc @ SY6341 @ SY6342 @ SY6343 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6344 )
| ~ ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SY6340 @ SY6341 @ c_Type_Oty_ONT ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2094]) ).
thf(2545,plain,
! [SV828: $i,SV388: $i] :
( ( ! [SY6345: $i,SY6346: $i] :
( ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SY6345 @ SY6346 @ c_Type_Oty_OBoolean )
| ! [SY6347: $i,SY6348: $i] :
~ ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SY6345 @ ( c_Expr_Oexp_OWhile @ SY6346 @ SY6347 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2095]) ).
thf(2546,plain,
! [SV829: $i,SV389: $i] :
( ( ! [SY6349: $i,SY6350: $i,SY6351: $i,SY6352: $i] :
( ( c_Expr_Oexp_OCond @ SV389 @ SV829 @ SY6349 @ SY6350 )
!= ( c_Expr_Oexp_OSeq @ SY6351 @ SY6352 @ SY6350 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2096]) ).
thf(2547,plain,
! [SV830: $i,SV390: $i] :
( ( ! [SY6353: $i,SY6354: $i] : ( c_SmallStep_Oredp @ SV390 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ SV830 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6353 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6354 @ SY6353 @ SY6354 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2097]) ).
thf(2548,plain,
! [SV831: $i,SV391: $i] :
( ( ! [SY6355: $i,SY6356: $i,SY6357: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV391 @ SV831 ) @ ( c_Conform_Osko__Conform__Xconf__def__1__1 @ SV391 @ SY6355 @ SY6356 @ SY6357 @ SV831 ) ) @ SY6355 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV391 @ SY6356 @ SV831 ) @ SY6357 ) @ SY6355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2098]) ).
thf(2549,plain,
! [SV832: $i,SV392: $i] :
( ( ! [SY6358: $i,SY6359: $i,SY6360: $i,SY6361: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ ( c_List_Olist_OCons @ SY6358 @ SY6359 @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ SY6360 @ SY6361 @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SY6359 @ SY6361 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SY6358 ) @ SY6360 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2099]) ).
thf(2550,plain,
! [SV833: $i,SV393: $i] :
( ( ( SV393 = SV833 )
| ! [SY6362: $i,SY6363: $i] :
( ~ ( c_Map_Omap__le @ SV833 @ SV393 @ SY6362 @ SY6363 )
| ~ ( c_Map_Omap__le @ SV393 @ SV833 @ SY6362 @ SY6363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2100]) ).
thf(2551,plain,
! [SV834: $i,SV394: $i] :
( ( ! [SY6364: $i,SY6365: $i,SY6366: $i,SY6367: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV394 @ SV834 @ SY6364 @ SY6365 @ SY6366 )
!= ( c_Expr_Oexp_OVal @ SY6367 @ SY6366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2101]) ).
thf(2552,plain,
! [SV835: $i,SV395: $i] :
( ( ( SV395 = c_Value_Oval_ONull )
| ! [SY6368: $i,SY6369: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV835 @ SY6368 @ SY6369 ) @ SV395 ) @ c_Type_Oty_ONT ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2102]) ).
thf(2553,plain,
! [SV836: $i,SV396: $i] :
( ( ! [SY6370: $i,SY6371: $i,SY6372: $i,SY6373: $i,SY6374: $i,SY6375: $i] :
( ( c_BigStep_Oeval @ SV396 @ ( c_Expr_Oexp_OTryCatch @ SV836 @ SY6370 @ SY6371 @ SY6372 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6373 @ ( c_Expr_Oexp_OVal @ SY6374 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6375 )
| ~ ( c_BigStep_Oeval @ SV396 @ SV836 @ SY6373 @ ( c_Expr_Oexp_OVal @ SY6374 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2103]) ).
thf(2554,plain,
! [SV837: $i,SV397: $i] :
( ( ! [SY6376: $i,SY6377: $i,SY6378: $i,SY6379: $i,SY6380: $i,SY6381: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV397 @ SV837 @ SY6376 @ SY6377 @ SY6378 )
!= ( c_Expr_Oexp_OCond @ SY6379 @ SY6380 @ SY6381 @ SY6378 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2104]) ).
thf(2555,plain,
! [SV838: $i,SV398: $i] :
( ( ! [SY6382: $i,SY6383: $i,SY6384: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SY6382 ) )
| ~ ( c_WellType_OWT @ SV398 @ SY6383 @ SY6384 @ SY6382 )
| ! [SY6385: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SY6383 @ SY6385 @ SV838 )
| ! [SY6386: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SY6383 @ SY6386 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SY6383 @ ( c_Expr_Oexp_OCond @ SY6386 @ SY6385 @ SY6384 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6382 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY6382 ) @ SV838 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2105]) ).
thf(2556,plain,
! [SV839: $i,SV399: $i] :
( ( ! [SY6387: $i,SY6388: $i,SY6389: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SY6387 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY6387 ) @ SV839 ) )
| ~ ( c_WellType_OWT @ SV399 @ SY6388 @ SY6389 @ SY6387 )
| ! [SY6390: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SY6388 @ SY6390 @ SV839 )
| ! [SY6391: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SY6388 @ SY6391 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SY6388 @ ( c_Expr_Oexp_OCond @ SY6391 @ SY6390 @ SY6389 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2106]) ).
thf(2557,plain,
! [SV840: $i,SV400: $i] :
( ( ! [SY6392: $i,SY6393: $i,SY6394: $i,SY6395: $i] :
( ( c_BigStep_Oeval @ SV400 @ ( c_Expr_Oexp_OSeq @ SV840 @ SY6392 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6393 @ SY6394 @ SY6395 )
| ! [SY6396: $i] :
( ~ ( c_BigStep_Oeval @ SV400 @ SY6392 @ SY6396 @ SY6394 @ SY6395 )
| ! [SY6397: $i] :
~ ( c_BigStep_Oeval @ SV400 @ SV840 @ SY6393 @ ( c_Expr_Oexp_OVal @ SY6397 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6396 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2107]) ).
thf(2558,plain,
! [SV841: $i,SV401: $i] :
( ( ! [SY6398: $i,SY6399: $i,SY6400: $i,SY6401: $i] :
( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SY6398 @ ( c_Expr_Oexp_OSeq @ SY6399 @ SY6400 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6401 )
| ~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SY6398 @ SY6400 @ SY6401 )
| ! [SY6402: $i] :
~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SY6398 @ SY6399 @ SY6402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2108]) ).
thf(2559,plain,
! [SV842: $i,SV402: $i] :
( ( ! [SY6403: $i,SY6404: $i,SY6405: $i] :
( ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SY6403 @ SY6404 @ c_Type_Oty_OBoolean )
| ! [SY6406: $i,SY6407: $i] :
~ ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SY6403 @ ( c_Expr_Oexp_OCond @ SY6404 @ SY6405 @ SY6406 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6407 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2109]) ).
thf(2560,plain,
! [SV843: $i,SV403: $i] :
( ( ! [SY6408: $i,SY6409: $i,SY6410: $i] :
( ( c_WellType_OWT @ SV403 @ SV843 @ SY6408 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV843 @ SV403 @ SY6409 @ SY6410 @ SY6408 ) )
| ! [SY6411: $i] :
~ ( c_WellType_OWT @ SV403 @ SV843 @ ( c_Expr_Oexp_OCond @ SY6411 @ SY6410 @ SY6408 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2110]) ).
thf(2561,plain,
! [SV844: $i,SV404: $i] :
( ( ! [SY6412: $i,SY6413: $i,SY6414: $i] :
( ( c_WellType_OWT @ SV404 @ SV844 @ SY6412 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV844 @ SV404 @ SY6413 @ SY6412 @ SY6414 ) )
| ! [SY6415: $i] :
~ ( c_WellType_OWT @ SV404 @ SV844 @ ( c_Expr_Oexp_OCond @ SY6415 @ SY6412 @ SY6414 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2111]) ).
thf(2562,plain,
! [SV845: $i,SV405: $i] :
( ( ! [SY6416: $i,SY6417: $i,SY6418: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV405 @ SV845 ) @ ( c_Conform_Osko__Conform__Xconfs__conv__map__1__1 @ SV405 @ SY6416 @ SY6417 @ SY6418 @ SV845 ) @ SY6416 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV405 @ SY6417 @ SV845 ) @ SY6418 @ SY6416 @ tc_Value_Oval @ tc_Type_Oty ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2112]) ).
thf(2563,plain,
! [SV846: $i,SV406: $i] :
( ( ! [SY6419: $i,SY6420: $i,SY6421: $i,SY6422: $i] :
( ( SV406
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SY6419 @ SV406 @ SY6420 @ SY6421 @ SY6422 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SY6419 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV846 @ SY6419 @ SV406 @ SY6420 @ SY6421 @ SY6422 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SY6419 @ SV406 @ SY6420 @ SY6421 @ SY6422 ) ) )
| ! [SY6423: $i] :
~ ( c_WellTypeRT_OWTrt @ SY6419 @ SY6422 @ SV846 @ ( c_Expr_Oexp_OCond @ SY6423 @ SY6420 @ SY6421 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2113]) ).
thf(2564,plain,
! [SV847: $i,SV407: $i] :
( ( ! [SY6424: $i,SY6425: $i,SY6426: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SY6424 @ SY6425 @ SY6426 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SY6424 @ SY6425 @ SY6426 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SY6424 @ SY6425 @ SY6426 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SY6424 @ SY6425 @ SY6426 ) ) )
| ! [SY6427: $i] :
~ ( c_WellType_OWT @ SV407 @ SV847 @ ( c_Expr_Oexp_OCond @ SY6427 @ SY6425 @ SY6426 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6424 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2114]) ).
thf(2565,plain,
! [SV848: $i,SV408: $i] :
( ( ! [SY6428: $i,SY6429: $i,SY6430: $i] :
( ! [SY6431: $i] :
( ( c_Pair @ SV408 @ SV848 @ SY6428 @ SY6429 )
!= ( c_Pair @ SY6430 @ SY6431 @ SY6428 @ SY6429 ) )
| ( SV408 = SY6430 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2115]) ).
thf(2566,plain,
! [SV849: $i,SV409: $i] :
( ( ! [SY6432: $i,SY6433: $i,SY6434: $i,SY6435: $i] :
( ( ( c_Pair @ SV409 @ SV849 @ SY6432 @ SY6433 )
!= ( c_Pair @ SY6434 @ SY6435 @ SY6432 @ SY6433 ) )
| ( SV849 = SY6435 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2116]) ).
thf(2567,plain,
! [SV850: $i,SV410: $i] :
( ( ! [SY6436: $i,SY6437: $i,SY6438: $i,SY6439: $i] :
( ( c_Expr_Oexp_OVal @ SV410 @ SV850 )
!= ( c_Expr_Oexp_OTryCatch @ SY6436 @ SY6437 @ SY6438 @ SY6439 @ SV850 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2117]) ).
thf(2568,plain,
! [SV851: $i,SV411: $i] :
( ( ! [SY6440: $i,SY6441: $i,SY6442: $i] :
( ( c_WellType_OWT @ SV411 @ SV851 @ ( c_Expr_Oexp_OSeq @ SY6440 @ SY6441 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6442 )
| ~ ( c_WellType_OWT @ SV411 @ SV851 @ SY6441 @ SY6442 )
| ! [SY6443: $i] :
~ ( c_WellType_OWT @ SV411 @ SV851 @ SY6440 @ SY6443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2118]) ).
thf(2569,plain,
! [SV852: $i,SV412: $i] :
( ( ! [SY6444: $i,SY6445: $i,SY6446: $i,SY6447: $i,SY6448: $i] :
( ( ( c_Expr_Oexp_OCond @ SV412 @ SV852 @ SY6444 @ SY6445 )
!= ( c_Expr_Oexp_OCond @ SY6446 @ SY6447 @ SY6448 @ SY6445 ) )
| ( SY6444 = SY6448 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2119]) ).
thf(2570,plain,
! [SV853: $i,SV413: $i] :
( ( ! [SY6449: $i,SY6450: $i,SY6451: $i,SY6452: $i] :
( ! [SY6453: $i] :
( ( c_Expr_Oexp_OCond @ SV413 @ SV853 @ SY6449 @ SY6450 )
!= ( c_Expr_Oexp_OCond @ SY6451 @ SY6452 @ SY6453 @ SY6450 ) )
| ( SV853 = SY6452 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2120]) ).
thf(2571,plain,
! [SV854: $i,SV414: $i] :
( ( ! [SY6454: $i,SY6455: $i,SY6456: $i] :
( ! [SY6457: $i,SY6458: $i] :
( ( c_Expr_Oexp_OCond @ SV414 @ SV854 @ SY6454 @ SY6455 )
!= ( c_Expr_Oexp_OCond @ SY6456 @ SY6457 @ SY6458 @ SY6455 ) )
| ( SV414 = SY6456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2121]) ).
thf(2572,plain,
! [SV855: $i,SV415: $i] :
( ( ! [SY6459: $i,SY6460: $i,SY6461: $i] :
( ( SV415
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SY6459 @ SV415 @ SY6460 @ SY6461 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SY6459 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV855 @ SY6459 @ SV415 @ SY6460 @ SY6461 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SY6459 @ SV415 @ SY6460 @ SY6461 ) ) )
| ! [SY6462: $i] :
~ ( c_WellType_OWT @ SY6459 @ SV855 @ ( c_Expr_Oexp_OCond @ SY6462 @ SY6460 @ SY6461 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2122]) ).
thf(2573,plain,
! [SV856: $i,SV416: $i] :
( ( ! [SY6463: $i,SY6464: $i,SY6465: $i,SY6466: $i,SY6467: $i,SY6468: $i,SY6469: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV416 @ SV856 @ SY6463 @ SY6464 @ SY6465 )
!= ( c_Expr_Oexp_OTryCatch @ SY6466 @ SY6467 @ SY6468 @ SY6469 @ SY6465 ) )
| ( SY6464 = SY6469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2123]) ).
thf(2574,plain,
! [SV857: $i,SV417: $i] :
( ( ! [SY6470: $i,SY6471: $i,SY6472: $i,SY6473: $i,SY6474: $i,SY6475: $i] :
( ! [SY6476: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV417 @ SV857 @ SY6470 @ SY6471 @ SY6472 )
!= ( c_Expr_Oexp_OTryCatch @ SY6473 @ SY6474 @ SY6475 @ SY6476 @ SY6472 ) )
| ( SY6470 = SY6475 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2124]) ).
thf(2575,plain,
! [SV858: $i,SV418: $i] :
( ( ! [SY6477: $i,SY6478: $i,SY6479: $i,SY6480: $i,SY6481: $i] :
( ! [SY6482: $i,SY6483: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV418 @ SV858 @ SY6477 @ SY6478 @ SY6479 )
!= ( c_Expr_Oexp_OTryCatch @ SY6480 @ SY6481 @ SY6482 @ SY6483 @ SY6479 ) )
| ( SV858 = SY6481 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2125]) ).
thf(2576,plain,
! [SV859: $i,SV419: $i] :
( ( ! [SY6484: $i,SY6485: $i,SY6486: $i,SY6487: $i,SY6488: $i] :
( ! [SY6489: $i,SY6490: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV419 @ SV859 @ SY6484 @ SY6485 @ SY6486 )
!= ( c_Expr_Oexp_OTryCatch @ SY6487 @ SY6488 @ SY6489 @ SY6490 @ SY6486 ) )
| ( SV419 = SY6487 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2126]) ).
thf(2577,plain,
! [SV860: $i,SV420: $i] :
( ( c_List_Olist__all2 @ ( c_fequal @ SV420 ) @ SV860 @ SV860 @ SV420 @ SV420 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2127]) ).
thf(2578,plain,
! [SV861: $i,SV421: $i] :
( ( ! [SY6491: $i,SY6492: $i] :
( ( c_Expr_Oexp_OVal @ SV421 @ SV861 )
!= ( c_Expr_Oexp_OSeq @ SY6491 @ SY6492 @ SV861 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2128]) ).
thf(2579,plain,
! [SV862: $i,SV422: $i] :
( ( ! [SY6493: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV422 @ SV862 @ SY6493 ) @ c_Value_Oval_ONull ) @ c_Type_Oty_ONT ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2129]) ).
thf(2580,plain,
! [SV863: $i,SV423: $i] :
( ( ! [SY6494: $i,SY6495: $i,SY6496: $i,SY6497: $i,SY6498: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV423 @ SV863 @ SY6494 @ SY6495 @ SY6496 )
!= ( c_Expr_Oexp_OSeq @ SY6497 @ SY6498 @ SY6496 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2130]) ).
thf(2581,plain,
! [SV864: $i,SV424: $i] :
( ( ! [SY6499: $i,SY6500: $i,SY6501: $i,SY6502: $i,SY6503: $i] :
( ( c_Expr_Oexp_OSeq @ SV424 @ SV864 @ SY6499 )
!= ( c_Expr_Oexp_OTryCatch @ SY6500 @ SY6501 @ SY6502 @ SY6503 @ SY6499 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2131]) ).
thf(2582,plain,
! [SV865: $i,SV425: $i] :
( ( ! [SY6504: $i] :
( ( ( c_Expr_Oexp_OVal @ SV425 @ SV865 )
!= ( c_Expr_Oexp_OVal @ SY6504 @ SV865 ) )
| ( SV425 = SY6504 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2132]) ).
thf(2583,plain,
! [SV866: $i,SV426: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV426 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ SV426 @ v_P @ SV866 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV426 @ v_e_092_060_094isub_0622____ @ SV866 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV426 @ ( 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)],[2133]) ).
thf(2584,plain,
! [SV867: $i,SV427: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XIH__1 @ SV427 @ v_P @ SV867 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV867 ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV427 @ v_e_092_060_094isub_0622____ @ SV867 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV427 @ ( 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)],[2134]) ).
thf(2585,plain,
! [SV868: $i,SV428: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV428 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__2__1 @ SV428 @ v_P @ SV868 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV428 @ v_e_092_060_094isub_0622____ @ SV868 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV428 @ ( 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)],[2135]) ).
thf(2586,plain,
! [SV869: $i,SV429: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ SV429 @ v_P @ SV869 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV869 ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV429 @ v_e_092_060_094isub_0622____ @ SV869 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV429 @ ( 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)],[2136]) ).
thf(2587,plain,
! [SV870: $i,SV430: $i] :
( ( ! [SY6505: $i,SY6506: $i,SY6507: $i,SY6508: $i] :
( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SY6505 @ ( c_Expr_Oexp_OSeq @ SY6506 @ SY6507 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6508 )
| ~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SY6505 @ SY6507 @ SY6508 )
| ! [SY6509: $i] :
~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SY6505 @ SY6506 @ SY6509 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2137]) ).
thf(2588,plain,
! [SV871: $i,SV431: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__2__1 @ SV431 @ v_P @ SV871 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV871 ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV431 @ v_e_092_060_094isub_0622____ @ SV871 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV431 @ ( 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)],[2138]) ).
thf(2589,plain,
! [SV872: $i,SV432: $i] :
( ( ! [SY6510: $i,SY6511: $i,SY6512: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV432 @ SY6510 @ SY6511 @ SY6512 @ SV872 )
| ! [SY6513: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SY6510 @ SY6511 @ SY6513 @ SV872 )
| ! [SY6514: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SY6510 @ SY6511 @ SY6514 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SY6510 @ SY6511 @ ( c_Expr_Oexp_OCond @ SY6514 @ SY6513 @ SY6512 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2139]) ).
thf(2590,plain,
! [SV873: $i,SV433: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV433 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XIH__1 @ SV433 @ v_P @ SV873 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV433 @ v_e_092_060_094isub_0622____ @ SV873 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV433 @ ( 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)],[2140]) ).
thf(2591,plain,
! [SV874: $i,SV434: $i] :
( ( ! [SY6515: $i,SY6516: $i,SY6517: $i] :
( ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SY6515 @ SY6516 @ SY6517 )
| ! [SY6518: $i] :
( ~ ( c_Map_Omap__le @ SY6518 @ SY6515 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SY6518 @ SY6516 @ SY6517 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2141]) ).
thf(2592,plain,
! [SV875: $i,SV435: $i] :
( ( ! [SY6519: $i,SY6520: $i,SY6521: $i] :
( ( c_Progress_OWTrt_H @ SV435 @ SV875 @ SY6519 @ SY6520 @ SY6521 )
| ~ ( c_WellTypeRT_OWTrt @ SV435 @ SV875 @ SY6519 @ SY6520 @ SY6521 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2142]) ).
thf(2593,plain,
! [SV876: $i,SV436: $i] :
( ( ! [SY6522: $i,SY6523: $i,SY6524: $i] :
( ( c_WellTypeRT_OWTrt @ SV436 @ SV876 @ SY6522 @ SY6523 @ SY6524 )
| ~ ( c_Progress_OWTrt_H @ SV436 @ SV876 @ SY6522 @ SY6523 @ SY6524 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2143]) ).
thf(2594,plain,
! [SV877: $i,SV437: $i] :
( ( ! [SY6525: $i,SY6526: $i,SY6527: $i,SY6528: $i,SY6529: $i,SY6530: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV437 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV877 @ SY6525 @ SV437 @ SY6526 @ SY6527 @ SY6528 @ SY6529 @ SY6530 ) ) @ SY6526 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV437 @ SY6530 @ SY6525 @ ( c_Expr_Oexp_OTryCatch @ SY6528 @ SV877 @ SY6527 @ SY6529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6526 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2144]) ).
thf(2595,plain,
! [SV878: $i,SV438: $i] :
( ( ! [SY6531: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV438 @ SV878 ) @ SY6531 ) @ SY6531 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2145]) ).
thf(2596,plain,
! [SV879: $i,SV439: $i] :
( ( ! [SY6532: $i,SY6533: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SY6532 ) @ SY6533 ) )
| ! [SY6534: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SY6534 ) @ SY6533 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SY6532 ) @ SY6534 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2146]) ).
thf(2597,plain,
! [SV880: $i,SV440: $i] :
( ( ! [SY6535: $i,SY6536: $i,SY6537: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SY6535 ) @ SY6536 ) @ SY6537 ) )
| ! [SY6538: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV440 @ SY6535 ) @ SY6538 ) @ SY6537 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SY6535 ) @ SY6536 ) @ SY6538 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2147]) ).
thf(2598,plain,
! [SV881: $i,SV441: $i] :
( ( ! [SY6539: $i,SY6540: $i,SY6541: $i] :
( ( c_WellTypeRT_OWTrt @ SV441 @ SV881 @ SY6539 @ SY6540 @ SY6541 )
| ~ ( c_WellType_OWT @ SV441 @ SY6539 @ SY6540 @ SY6541 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2148]) ).
thf(2599,plain,
! [SV882: $i,SV442: $i] :
( ( ! [SY6542: $i,SY6543: $i,SY6544: $i] :
( ( c_WellTypeRT_OWTrt @ SV442 @ SV882 @ SY6542 @ SY6543 @ SY6544 )
| ! [SY6545: $i] :
( ~ ( c_Objects_Ohext @ SY6545 @ SV882 )
| ~ ( c_WellTypeRT_OWTrt @ SV442 @ SY6545 @ SY6542 @ SY6543 @ SY6544 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2149]) ).
thf(2600,plain,
! [SV883: $i,SV443: $i] :
( ( ! [SY6546: $i,SY6547: $i,SY6548: $i,SY6549: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SY6546 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY6546 ) @ SV883 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV443 @ SY6547 @ SY6548 @ SY6549 @ SY6546 )
| ! [SY6550: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SY6547 @ SY6548 @ SY6550 @ SV883 )
| ! [SY6551: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SY6547 @ SY6548 @ SY6551 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SY6547 @ SY6548 @ ( c_Expr_Oexp_OCond @ SY6551 @ SY6550 @ SY6549 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2150]) ).
thf(2601,plain,
! [SV884: $i,SV444: $i] :
( ( ! [SY6552: $i,SY6553: $i,SY6554: $i,SY6555: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SY6552 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV444 @ SY6553 @ SY6554 @ SY6555 @ SY6552 )
| ! [SY6556: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SY6553 @ SY6554 @ SY6556 @ SV884 )
| ! [SY6557: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SY6553 @ SY6554 @ SY6557 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SY6553 @ SY6554 @ ( c_Expr_Oexp_OCond @ SY6557 @ SY6556 @ SY6555 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6552 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY6552 ) @ SV884 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2151]) ).
thf(2602,plain,
! [SV885: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV885 ) @ v_T_092_060_094isub_0622____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ SV885 ) )
= $true )
| ( v_thesis____ = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2152]) ).
thf(2603,plain,
! [SV886: $i,SV445: $i] :
( ( ! [SY6558: $i,SY6559: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SY6558 @ SY6559 @ tc_Type_Oty @ tc_Type_Oty )
| ! [SY6560: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SY6560 @ SY6559 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SY6558 @ SY6560 @ tc_Type_Oty @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2153]) ).
thf(2604,plain,
! [SV887: $i,SV446: $i] :
( ( ! [SY6561: $i] : ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV446 @ SV887 ) @ SY6561 @ SY6561 @ tc_Type_Oty @ tc_Type_Oty ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2154]) ).
thf(2605,plain,
! [SV888: $i,SV447: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV447 ) @ SV888 ) @ SV888 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2155]) ).
thf(2606,plain,
! [SV889: $i,SV448: $i] :
( ( ( SV448 = SV889 )
| ! [SY6562: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SY6562 ) @ SV448 ) @ SV889 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2156]) ).
thf(2607,plain,
! [SV449: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV449 ) @ v_T_092_060_094isub_0622____ ) ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ SV449 ) )
= $true )
| ( v_thesis____ = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2158]) ).
thf(2608,plain,
! [SV890: $i,SV450: $i,SV1: $i] :
( ( ! [SY6563: $i,SY6564: $i] :
( ( c_BigStep_Oeval @ SV1 @ ( c_Expr_Oexp_Othrow @ SV450 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV890 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY6563 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6564 )
| ~ ( c_BigStep_Oeval @ SV1 @ SV450 @ SV890 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY6563 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6564 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2159]) ).
thf(2609,plain,
! [SV451: $i,SV2: $i] :
( ( ( ( c_Value_Oval_OAddr @ SV2 )
!= ( c_Value_Oval_OAddr @ SV451 ) )
= $true )
| ( ( SV2 = SV451 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2160]) ).
thf(2610,plain,
! [SV891: $i,SV452: $i,SV3: $i] :
( ( ! [SY6565: $i,SY6566: $i,SY6567: $i] :
( ( c_BigStep_Oeval @ SV3 @ ( c_Expr_Oexp_OWhile @ SV452 @ SV891 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6565 @ ( c_Expr_Oexp_Othrow @ SY6566 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6567 )
| ! [SY6568: $i] :
( ~ ( c_BigStep_Oeval @ SV3 @ SV891 @ SY6568 @ ( c_Expr_Oexp_Othrow @ SY6566 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6567 )
| ~ ( c_BigStep_Oeval @ SV3 @ SV452 @ SY6565 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6568 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2161]) ).
thf(2611,plain,
! [SV892: $i,SV453: $i,SV6: $i] :
( ( ! [SY6569: $i,SY6570: $i,SY6571: $i,SY6572: $i] :
( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6569 @ SY6570 @ SY6571 )
| ~ ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6572 @ SY6570 @ SY6571 )
| ! [SY6573: $i] :
( ! [SY6574: $i] :
~ ( c_BigStep_Oeval @ SV6 @ SV892 @ SY6573 @ ( c_Expr_Oexp_OVal @ SY6574 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6572 )
| ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SY6569 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6573 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2164]) ).
thf(2612,plain,
! [SV893: $i,SV454: $i,SV7: $i] :
( ( ! [SY6575: $i] : ( c_SmallStep_Oredp @ SV7 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV454 @ SV893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6575 @ SV454 @ SY6575 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2165]) ).
thf(2613,plain,
! [SV894: $i,SV455: $i,SV8: $i] :
( ( ! [SY6576: $i,SY6577: $i,SY6578: $i,SY6579: $i] :
( ( c_BigStep_Oeval @ SV8 @ ( c_Expr_Oexp_OCond @ SV455 @ SV894 @ SY6576 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6577 @ SY6578 @ SY6579 )
| ! [SY6580: $i] :
( ~ ( c_BigStep_Oeval @ SV8 @ SV894 @ SY6580 @ SY6578 @ SY6579 )
| ~ ( c_BigStep_Oeval @ SV8 @ SV455 @ SY6577 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6580 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2166]) ).
thf(2614,plain,
! [SV895: $i,SV456: $i,SV11: $i] :
( ( ! [SY6581: $i,SY6582: $i] : ( c_SmallStep_Oredp @ SV11 @ ( c_Expr_Oexp_OBlock @ SV456 @ SV895 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY6581 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6582 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY6581 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6582 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2169]) ).
thf(2615,plain,
! [SV896: $i,SV457: $i,SV12: $i] :
( ( ! [SY6583: $i,SY6584: $i,SY6585: $i] : ( c_SmallStep_Oredp @ SV12 @ ( c_Expr_Oexp_OBlock @ SV457 @ SV896 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV457 @ ( c_Expr_Oexp_OVal @ SY6583 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY6584 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6585 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY6584 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6585 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2170]) ).
thf(2616,plain,
! [SV897: $i,SV458: $i,SV13: $i] :
( ( ! [SY6586: $i,SY6587: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV13 @ SV458 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV897 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6586 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV897 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6586 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6587 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2171]) ).
thf(2617,plain,
! [SV898: $i,SV459: $i,SV14: $i] :
( ( ! [SY6588: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV14 @ SV459 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV14 @ SV898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6588 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2172]) ).
thf(2618,plain,
! [SV899: $i,SV460: $i,SV15: $i] :
( ( ! [SY6589: $i,SY6590: $i,SY6591: $i,SY6592: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY6589 @ SY6590 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6591 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6592 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY6589 @ SY6590 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6591 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY6593: $i] :
( ! [SY4859: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SY6593 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY4859 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6592 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6591 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6593 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6591 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2173]) ).
thf(2619,plain,
! [SV900: $i,SV461: $i,SV16: $i] :
( ( ! [SY6595: $i,SY6596: $i,SY6597: $i,SY6598: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV16 @ SV461 @ SV900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6595 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY6596 @ SY6597 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6598 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY4865: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV461 @ SY4865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY6596 @ SY6597 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6598 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV16 @ SY6595 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY4865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6598 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2174]) ).
thf(2620,plain,
! [SV901: $i,SV462: $i,SV17: $i] :
( ( ! [SY6600: $i,SY6601: $i,SY6602: $i] :
( ( c_Expr_Oexp_OBlock @ SV17 @ SV462 @ SV901 @ SY6600 )
!= ( c_Expr_Oexp_OSeq @ SY6601 @ SY6602 @ SY6600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2175]) ).
thf(2621,plain,
! [SV902: $i,SV463: $i,SV18: $i] :
( ( ! [SY6603: $i,SY6604: $i] :
( ( c_Map_Omap__add @ SV18 @ ( c_Map_Omap__add @ SV463 @ SV902 @ SY6603 @ SY6604 ) @ SY6603 @ SY6604 )
= ( c_Map_Omap__add @ ( c_Map_Omap__add @ SV18 @ SV463 @ SY6603 @ SY6604 ) @ SV902 @ SY6603 @ SY6604 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2176]) ).
thf(2622,plain,
! [SV903: $i,SV464: $i,SV19: $i] :
( ( ! [SY6605: $i,SY6606: $i] :
( ( c_Expr_Oexp_Othrow @ SV19 @ SV464 )
!= ( c_Expr_Oexp_OCond @ SV903 @ SY6605 @ SY6606 @ SV464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2177]) ).
thf(2623,plain,
! [SV904: $i,SV465: $i,SV20: $i] :
( ( ! [SY6607: $i] :
( ( c_Expr_Oexp_OWhile @ SV20 @ SV465 @ SV904 )
!= ( c_Expr_Oexp_Othrow @ SY6607 @ SV904 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2178]) ).
thf(2624,plain,
! [SV905: $i,SV466: $i,SV21: $i] :
( ( ! [SY6608: $i,SY6609: $i,SY6610: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV21 @ SV466 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV905 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY6608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6609 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6610 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV466 @ SV905 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY6608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6609 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6610 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2179]) ).
thf(2625,plain,
! [SV906: $i,SV467: $i,SV22: $i] :
( ( ! [SY6611: $i,SY6612: $i] :
( ( c_Expr_Oexp_OBlock @ SV22 @ SV467 @ SV906 @ SY6611 )
!= ( c_Expr_Oexp_Othrow @ SY6612 @ SY6611 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2180]) ).
thf(2626,plain,
! [SV907: $i,SV468: $i,SV23: $i] :
( ( ! [SY6613: $i] :
( ( c_Expr_Oexp_OCast @ SV23 @ SV468 @ SV907 )
!= ( c_Expr_Oexp_Othrow @ SY6613 @ SV907 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2181]) ).
thf(2627,plain,
! [SV908: $i,SV469: $i,SV24: $i] :
( ( ! [SY6614: $i,SY6615: $i,SY6616: $i,SY6617: $i] :
( ( c_Expr_Oexp_OCond @ SV24 @ SV469 @ SV908 @ SY6614 )
!= ( c_Expr_Oexp_OBlock @ SY6615 @ SY6616 @ SY6617 @ SY6614 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2182]) ).
thf(2628,plain,
! [SV909: $i,SV470: $i,SV25: $i] :
( ( ! [SY6618: $i,SY6619: $i] :
( ( c_Expr_Oexp_OWhile @ SV25 @ SV470 @ SV909 )
!= ( c_Expr_Oexp_OLAss @ SY6618 @ SY6619 @ SV909 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2183]) ).
thf(2629,plain,
! [SV910: $i,SV471: $i,SV26: $i] :
( ( ! [SY6620: $i] :
( ( c_Expr_Oexp_OCast @ SV26 @ SV471 @ SV910 )
!= ( c_Expr_Oexp_OVal @ SY6620 @ SV910 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2184]) ).
thf(2630,plain,
! [SV911: $i,SV472: $i,SV27: $i] :
( ( ! [SY6621: $i,SY6622: $i] :
( ( c_Expr_Oexp_OSeq @ SV27 @ SV472 @ SV911 )
!= ( c_Expr_Oexp_OLAss @ SY6621 @ SY6622 @ SV911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2185]) ).
thf(2631,plain,
! [SV912: $i,SV473: $i,SV28: $i] :
( ( ! [SY6623: $i,SY6624: $i,SY6625: $i] :
( ( c_Expr_Oexp_OWhile @ SV28 @ SV473 @ SV912 )
!= ( c_Expr_Oexp_OBlock @ SY6623 @ SY6624 @ SY6625 @ SV912 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2186]) ).
thf(2632,plain,
! [SV913: $i,SV474: $i,SV29: $i] :
( ( ! [SY6626: $i,SY6627: $i,SY6628: $i] :
( ( c_BigStep_Oeval @ SV29 @ ( c_Expr_Oexp_OSeq @ SV474 @ SV913 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6626 @ ( c_Expr_Oexp_Othrow @ SY6627 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6628 )
| ~ ( c_BigStep_Oeval @ SV29 @ SV474 @ SY6626 @ ( c_Expr_Oexp_Othrow @ SY6627 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6628 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2187]) ).
thf(2633,plain,
! [SV914: $i,SV475: $i,SV30: $i] :
( ( ! [SY6629: $i,SY6630: $i,SY6631: $i,SY6632: $i] :
( ( c_Expr_Oexp_OBlock @ SV30 @ SV475 @ SV914 @ SY6629 )
!= ( c_Expr_Oexp_OCond @ SY6630 @ SY6631 @ SY6632 @ SY6629 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2188]) ).
thf(2634,plain,
! [SV915: $i,SV476: $i,SV31: $i] :
( ( ! [SY6633: $i,SY6634: $i,SY6635: $i] :
( ( c_Expr_Oexp_OCast @ SV31 @ SV476 @ SV915 )
!= ( c_Expr_Oexp_OBlock @ SY6633 @ SY6634 @ SY6635 @ SV915 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2189]) ).
thf(2635,plain,
! [SV916: $i,SV477: $i,SV32: $i] :
( ( ! [SY6636: $i] :
( ( ( c_Map_Omap__add @ SV32 @ SV477 @ SV916 @ SY6636 )
= ( c_Map_Omap__add @ SV477 @ SV32 @ SV916 @ SY6636 ) )
| ~ ( c_Map_Omap__le @ SV32 @ ( c_Map_Omap__add @ SV32 @ SV477 @ SV916 @ SY6636 ) @ SV916 @ SY6636 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2190]) ).
thf(2636,plain,
! [SV917: $i,SV478: $i,SV33: $i] :
( ( ! [SY6637: $i] :
( ( ( c_Map_Omap__add @ SV33 @ SV478 @ SV917 @ SY6637 )
!= ( c_Map_Omap__add @ SV478 @ SV33 @ SV917 @ SY6637 ) )
| ( c_Map_Omap__le @ SV33 @ ( c_Map_Omap__add @ SV33 @ SV478 @ SV917 @ SY6637 ) @ SV917 @ SY6637 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2191]) ).
thf(2637,plain,
! [SV918: $i,SV479: $i,SV34: $i] :
( ( ! [SY6638: $i,SY6639: $i,SY6640: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV34 @ SV479 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY6638 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6639 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6640 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV479 @ SV918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY6638 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6639 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6640 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2192]) ).
thf(2638,plain,
! [SV919: $i,SV480: $i,SV35: $i] :
( ( ! [SY6641: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV35 @ ( c_Expr_Oexp_Othrow @ SV480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV919 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV919 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6641 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2193]) ).
thf(2639,plain,
! [SV920: $i,SV481: $i,SV36: $i] :
( ( ! [SY6642: $i,SY6643: $i,SY6644: $i] :
( ( c_Expr_Oexp_OCall @ SV36 @ SV481 @ SV920 @ SY6642 )
!= ( c_Expr_Oexp_OLAss @ SY6643 @ SY6644 @ SY6642 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2194]) ).
thf(2640,plain,
! [SV921: $i,SV482: $i,SV37: $i] :
( ( ! [SY6645: $i,SY6646: $i,SY6647: $i,SY6648: $i] :
( ( c_SmallStep_Oredp @ SV37 @ ( c_Expr_Oexp_OCall @ SV482 @ SV921 @ SY6645 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6646 @ ( c_Expr_Oexp_OCall @ SY6647 @ SV921 @ SY6645 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6648 )
| ~ ( c_SmallStep_Oredp @ SV37 @ SV482 @ SY6646 @ SY6647 @ SY6648 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2195]) ).
thf(2641,plain,
! [SV922: $i,SV483: $i,SV38: $i] :
( ( ! [SY6649: $i,SY6650: $i,SY6651: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV38 @ SV483 @ SV922 @ SY6649 @ SY6650 )
!= ( c_Expr_Oexp_Othrow @ SY6651 @ SY6650 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2196]) ).
thf(2642,plain,
! [SV923: $i,SV484: $i,SV39: $i] :
( ( ! [SY6652: $i,SY6653: $i,SY6654: $i,SY6655: $i] :
( ( c_Expr_Oexp_OCast @ SV39 @ SV484 @ SV923 )
!= ( c_Expr_Oexp_OTryCatch @ SY6652 @ SY6653 @ SY6654 @ SY6655 @ SV923 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2197]) ).
thf(2643,plain,
! [SV924: $i,SV485: $i,SV40: $i] :
( ( ! [SY6656: $i,SY6657: $i,SY6658: $i] :
( ( c_SmallStep_Oredp @ SV40 @ ( c_Expr_Oexp_OLAss @ SV485 @ SV924 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6656 @ ( c_Expr_Oexp_OLAss @ SV485 @ SY6657 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6658 )
| ~ ( c_SmallStep_Oredp @ SV40 @ SV924 @ SY6656 @ SY6657 @ SY6658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2198]) ).
thf(2644,plain,
! [SV925: $i,SV486: $i,SV41: $i] :
( ( ! [SY6659: $i,SY6660: $i,SY6661: $i,SY6662: $i,SY6663: $i] :
( ( c_Expr_Oexp_OFAss @ SV41 @ SV486 @ SV925 @ SY6659 @ SY6660 )
!= ( c_Expr_Oexp_OCall @ SY6661 @ SY6662 @ SY6663 @ SY6660 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2199]) ).
thf(2645,plain,
! [SV926: $i,SV487: $i,SV42: $i] :
( ( ! [SY6664: $i,SY6665: $i] :
( ( c_BigStep_Oeval @ SV42 @ ( c_Expr_Oexp_Othrow @ SV487 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV926 @ ( c_Expr_Oexp_Othrow @ SY6664 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6665 )
| ~ ( c_BigStep_Oeval @ SV42 @ SV487 @ SV926 @ ( c_Expr_Oexp_Othrow @ SY6664 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6665 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2200]) ).
thf(2646,plain,
! [SV927: $i,SV488: $i,SV43: $i] :
( ( ! [SY6666: $i,SY6667: $i,SY6668: $i] :
( ( c_Expr_Oexp_OCast @ SV43 @ SV488 @ SV927 )
!= ( c_Expr_Oexp_OCond @ SY6666 @ SY6667 @ SY6668 @ SV927 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2201]) ).
thf(2647,plain,
! [SV928: $i,SV489: $i,SV44: $i] :
( ( ! [SY6669: $i,SY6670: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV44 @ SV489 @ SV928 )
!= ( c_Expr_Oexp_OLAss @ SY6669 @ SY6670 @ SV928 ) )
| ( SV489 = SY6670 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2202]) ).
thf(2648,plain,
! [SV929: $i,SV490: $i,SV45: $i] :
( ( ! [SY6671: $i] :
( ! [SY6672: $i] :
( ( c_Expr_Oexp_OLAss @ SV45 @ SV490 @ SV929 )
!= ( c_Expr_Oexp_OLAss @ SY6671 @ SY6672 @ SV929 ) )
| ( SV45 = SY6671 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2203]) ).
thf(2649,plain,
! [SV930: $i,SV491: $i,SV46: $i] :
( ( ! [SY6673: $i,SY6674: $i,SY6675: $i] :
( ( c_Expr_Oexp_OLAss @ SV46 @ SV491 @ SV930 )
!= ( c_Expr_Oexp_OCond @ SY6673 @ SY6674 @ SY6675 @ SV930 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2204]) ).
thf(2650,plain,
! [SV931: $i,SV492: $i,SV47: $i] :
( ( ! [SY6676: $i,SY6677: $i,SY6678: $i,SY6679: $i] :
( ( c_Expr_Oexp_OFAss @ SV47 @ SV492 @ SV931 @ SY6676 @ SY6677 )
!= ( c_Expr_Oexp_OCast @ SY6678 @ SY6679 @ SY6677 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2205]) ).
thf(2651,plain,
! [SV932: $i,SV493: $i,SV48: $i] :
( ( ! [SY6680: $i,SY6681: $i,SY6682: $i,SY6683: $i,SY6684: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV48 @ SV493 @ SV932 @ SY6680 @ SY6681 )
!= ( c_Expr_Oexp_OBlock @ SY6682 @ SY6683 @ SY6684 @ SY6681 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2206]) ).
thf(2652,plain,
! [SV933: $i,SV494: $i,SV49: $i] :
( ( ! [SY6685: $i] :
( ( c_Expr_Oexp_OSeq @ SV49 @ SV494 @ SV933 )
!= ( c_Expr_Oexp_Othrow @ SY6685 @ SV933 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2207]) ).
thf(2653,plain,
! [SV934: $i,SV495: $i,SV50: $i] :
( ( ! [SY6686: $i,SY6687: $i] :
( ( c_Expr_Oexp_OBinOp @ SV50 @ SV495 @ SV934 @ SY6686 )
!= ( c_Expr_Oexp_Othrow @ SY6687 @ SY6686 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2208]) ).
thf(2654,plain,
! [SV935: $i,SV496: $i,SV51: $i] :
( ( ! [SY6688: $i,SY6689: $i,SY6690: $i,SY6691: $i] :
( ( c_Expr_Oexp_OFAcc @ SV51 @ SV496 @ SV935 @ SY6688 )
!= ( c_Expr_Oexp_OCall @ SY6689 @ SY6690 @ SY6691 @ SY6688 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2209]) ).
thf(2655,plain,
! [SV936: $i,SV497: $i,SV52: $i] :
( ( ! [SY6692: $i,SY6693: $i,SY6694: $i,SY6695: $i,SY6696: $i] :
( ( c_BigStep_Oeval @ SV52 @ ( c_Expr_Oexp_OFAss @ SV497 @ SV936 @ SY6692 @ SY6693 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6694 @ ( c_Expr_Oexp_Othrow @ SY6695 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6696 )
| ~ ( c_BigStep_Oeval @ SV52 @ SV497 @ SY6694 @ ( c_Expr_Oexp_Othrow @ SY6695 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6696 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2210]) ).
thf(2656,plain,
! [SV937: $i,SV498: $i,SV53: $i] :
( ( ! [SY6697: $i,SY6698: $i,SY6699: $i] :
( ( c_Expr_Oexp_OFAcc @ SV53 @ SV498 @ SV937 @ SY6697 )
!= ( c_Expr_Oexp_OCast @ SY6698 @ SY6699 @ SY6697 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2211]) ).
thf(2657,plain,
! [SV938: $i,SV499: $i,SV54: $i] :
( ( ! [SY6700: $i,SY6701: $i,SY6702: $i] :
( ( c_Expr_Oexp_OSeq @ SV54 @ SV499 @ SV938 )
!= ( c_Expr_Oexp_OBlock @ SY6700 @ SY6701 @ SY6702 @ SV938 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2212]) ).
thf(2658,plain,
! [SV939: $i,SV500: $i,SV55: $i] :
( ( ! [SY6703: $i] : ( c_SmallStep_Oredp @ SV55 @ ( c_Expr_Oexp_OLAss @ SV500 @ ( c_Expr_Oexp_Othrow @ SV939 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6703 @ ( c_Expr_Oexp_Othrow @ SV939 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6703 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2213]) ).
thf(2659,plain,
! [SV940: $i,SV501: $i,SV56: $i] :
( ( ! [SY6704: $i] :
( ( c_Expr_Oexp_Othrow @ SV56 @ SV501 )
!= ( c_Expr_Oexp_OLAss @ SV940 @ SY6704 @ SV501 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2214]) ).
thf(2660,plain,
! [SV941: $i,SV502: $i,SV57: $i] :
( ( ! [SY6705: $i,SY6706: $i,SY6707: $i,SY6708: $i] :
( ( c_Expr_Oexp_OBinOp @ SV57 @ SV502 @ SV941 @ SY6705 )
!= ( c_Expr_Oexp_OBlock @ SY6706 @ SY6707 @ SY6708 @ SY6705 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2215]) ).
thf(2661,plain,
! [SV942: $i,SV503: $i,SV58: $i] :
( ( ! [SY6709: $i,SY6710: $i,SY6711: $i] :
( ( c_SmallStep_Oredp @ SV58 @ ( c_Expr_Oexp_OCast @ SV503 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6709 @ ( c_Expr_Oexp_OCast @ SV503 @ SY6710 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6711 )
| ~ ( c_SmallStep_Oredp @ SV58 @ SV942 @ SY6709 @ SY6710 @ SY6711 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2216]) ).
thf(2662,plain,
! [SV943: $i,SV504: $i,SV59: $i] :
( ( ! [SY6712: $i,SY6713: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ SY6712 @ SY6713 @ SV504 @ SV943 )
| ! [SY6714: $i,SY6715: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ ( c_List_Olist_OCons @ SY6714 @ SY6712 @ SV504 ) @ ( c_List_Olist_OCons @ SY6715 @ SY6713 @ SV943 ) @ SV504 @ SV943 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2217]) ).
thf(2663,plain,
! [SV944: $i,SV505: $i,SV60: $i] :
( ( ! [SY6716: $i,SY6717: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ SV60 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV505 @ SV944 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6716 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV60 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6716 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6717 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2218]) ).
thf(2664,plain,
! [SV945: $i,SV506: $i,SV61: $i] :
( ( ! [SY6718: $i,SY6719: $i,SY6720: $i,SY6721: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV61 @ SV506 @ SV945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6718 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY6719 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6720 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6721 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV61 @ SY6718 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY6719 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6720 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6721 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2219]) ).
thf(2665,plain,
! [SV946: $i,SV507: $i,SV62: $i] :
( ( ! [SY6722: $i,SY6723: $i,SY6724: $i,SY6725: $i] :
( ( c_BigStep_Oeval @ SV62 @ ( c_Expr_Oexp_OFAcc @ SV507 @ SV946 @ SY6722 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6723 @ ( c_Expr_Oexp_Othrow @ SY6724 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6725 )
| ~ ( c_BigStep_Oeval @ SV62 @ SV507 @ SY6723 @ ( c_Expr_Oexp_Othrow @ SY6724 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6725 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2220]) ).
thf(2666,plain,
! [SV947: $i,SV508: $i,SV63: $i] :
( ( ( c_Expr_Oexp_OVal @ SV63 @ SV508 )
!= ( c_Expr_Oexp_Othrow @ SV947 @ SV508 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2221]) ).
thf(2667,plain,
! [SV948: $i,SV509: $i,SV64: $i] :
( ( ! [SY6726: $i,SY6727: $i,SY6728: $i] :
( ( c_Expr_Oexp_OBlock @ SV64 @ SV509 @ SV948 @ SY6726 )
!= ( c_Expr_Oexp_OLAss @ SY6727 @ SY6728 @ SY6726 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2222]) ).
thf(2668,plain,
! [SV949: $i,SV510: $i,SV65: $i] :
( ( ! [SY6729: $i,SY6730: $i] :
( ( c_Expr_Oexp_OVal @ SV65 @ SV510 )
!= ( c_Expr_Oexp_OCall @ SV949 @ SY6729 @ SY6730 @ SV510 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2223]) ).
thf(2669,plain,
! [SV950: $i,SV511: $i,SV66: $i] :
( ( ! [SY6731: $i,SY6732: $i,SY6733: $i,SY6734: $i,SY6735: $i] :
( ( c_Expr_Oexp_OCall @ SV66 @ SV511 @ SV950 @ SY6731 )
!= ( c_Expr_Oexp_OTryCatch @ SY6732 @ SY6733 @ SY6734 @ SY6735 @ SY6731 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2224]) ).
thf(2670,plain,
! [SV951: $i,SV512: $i,SV67: $i] :
( ( ! [SY6736: $i,SY6737: $i] :
( ( c_Expr_Oexp_OCast @ SV67 @ SV512 @ SV951 )
!= ( c_Expr_Oexp_OSeq @ SY6736 @ SY6737 @ SV951 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2225]) ).
thf(2671,plain,
! [SV952: $i,SV513: $i,SV68: $i] :
( ( ! [SY6738: $i,SY6739: $i] :
( ( c_Expr_Oexp_OVal @ SV68 @ SV513 )
!= ( c_Expr_Oexp_OBlock @ SV952 @ SY6738 @ SY6739 @ SV513 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2226]) ).
thf(2672,plain,
! [SV953: $i,SV514: $i,SV69: $i] :
( ( ! [SY6740: $i] :
( ( c_Expr_Oexp_OVal @ SV69 @ SV514 )
!= ( c_Expr_Oexp_OCast @ SV953 @ SY6740 @ SV514 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2227]) ).
thf(2673,plain,
! [SV954: $i,SV515: $i,SV70: $i] :
( ( ! [SY6741: $i] :
( ( c_Expr_Oexp_Othrow @ SV70 @ SV515 )
!= ( c_Expr_Oexp_OWhile @ SV954 @ SY6741 @ SV515 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2228]) ).
thf(2674,plain,
! [SV955: $i,SV516: $i,SV71: $i] :
( ( ! [SY6742: $i,SY6743: $i,SY6744: $i,SY6745: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV71 @ SV516 @ SV955 @ SY6742 )
!= ( c_Expr_Oexp_OBlock @ SY6743 @ SY6744 @ SY6745 @ SY6742 ) )
| ( SV955 = SY6745 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2229]) ).
thf(2675,plain,
! [SV956: $i,SV517: $i,SV72: $i] :
( ( ! [SY6746: $i,SY6747: $i,SY6748: $i] :
( ! [SY6749: $i] :
( ( c_Expr_Oexp_OBlock @ SV72 @ SV517 @ SV956 @ SY6746 )
!= ( c_Expr_Oexp_OBlock @ SY6747 @ SY6748 @ SY6749 @ SY6746 ) )
| ( SV517 = SY6748 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2230]) ).
thf(2676,plain,
! [SV957: $i,SV518: $i,SV73: $i] :
( ( ! [SY6750: $i,SY6751: $i] :
( ! [SY6752: $i,SY6753: $i] :
( ( c_Expr_Oexp_OBlock @ SV73 @ SV518 @ SV957 @ SY6750 )
!= ( c_Expr_Oexp_OBlock @ SY6751 @ SY6752 @ SY6753 @ SY6750 ) )
| ( SV73 = SY6751 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2231]) ).
thf(2677,plain,
! [SV958: $i,SV519: $i,SV74: $i] :
( ( ! [SY6754: $i,SY6755: $i] :
( ( c_Expr_Oexp_OCast @ SV74 @ SV519 @ SV958 )
!= ( c_Expr_Oexp_OLAss @ SY6754 @ SY6755 @ SV958 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2232]) ).
thf(2678,plain,
! [SV959: $i,SV520: $i,SV75: $i] :
( ( ! [SY6756: $i,SY6757: $i,SY6758: $i,SY6759: $i,SY6760: $i] :
( ( c_Expr_Oexp_OBlock @ SV75 @ SV520 @ SV959 @ SY6756 )
!= ( c_Expr_Oexp_OTryCatch @ SY6757 @ SY6758 @ SY6759 @ SY6760 @ SY6756 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2233]) ).
thf(2679,plain,
! [SV960: $i,SV521: $i,SV76: $i] :
( ( ! [SY6761: $i] :
( ( SV76
= ( c_Type_Oty_OClass @ SV521 ) )
| ! [SY6762: $i,SY6763: $i] :
~ ( c_WellTypeRT_OWTrt @ SV960 @ SY6761 @ SY6762 @ ( c_Expr_Oexp_OCast @ SV521 @ SY6763 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2234]) ).
thf(2680,plain,
! [SV961: $i,SV522: $i,SV77: $i] :
( ( ! [SY6764: $i,SY6765: $i,SY6766: $i] :
( ( c_Expr_Oexp_OCond @ SV77 @ SV522 @ SV961 @ SY6764 )
!= ( c_Expr_Oexp_OLAss @ SY6765 @ SY6766 @ SY6764 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2235]) ).
thf(2681,plain,
! [SV962: $i,SV523: $i,SV78: $i] :
( ( ! [SY6767: $i,SY6768: $i,SY6769: $i,SY6770: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV78 @ SV523 @ SV962 @ SY6767 @ SY6768 )
!= ( c_Expr_Oexp_OLAss @ SY6769 @ SY6770 @ SY6768 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2236]) ).
thf(2682,plain,
! [SV963: $i,SV524: $i,SV79: $i] :
( ( ! [SY6771: $i,SY6772: $i,SY6773: $i] :
( ( c_Expr_Oexp_OWhile @ SV79 @ SV524 @ SV963 )
!= ( c_Expr_Oexp_OCall @ SY6771 @ SY6772 @ SY6773 @ SV963 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2237]) ).
thf(2683,plain,
! [SV964: $i,SV525: $i,SV80: $i] :
( ( ! [SY6774: $i,SY6775: $i,SY6776: $i] : ( c_SmallStep_Oredp @ SV80 @ ( c_Expr_Oexp_OBlock @ SV525 @ SV964 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV525 @ ( c_Expr_Oexp_OVal @ SY6774 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ SY6775 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6776 @ ( c_Expr_Oexp_OVal @ SY6775 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6776 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2238]) ).
thf(2684,plain,
! [SV965: $i,SV526: $i,SV81: $i] :
( ( ! [SY6777: $i] :
( ( c_Decl_Ois__class @ SV81 @ SV526 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY6778: $i,SY6779: $i] :
~ ( c_WellTypeRT_OWTrt @ SV81 @ SV965 @ SY6777 @ ( c_Expr_Oexp_OCast @ SV526 @ SY6778 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6779 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2239]) ).
thf(2685,plain,
! [SV966: $i,SV527: $i,SV82: $i] :
( ( ! [SY6780: $i,SY6781: $i,SY6782: $i] :
( ( c_Expr_Oexp_OSeq @ SV82 @ SV527 @ SV966 )
!= ( c_Expr_Oexp_OCall @ SY6780 @ SY6781 @ SY6782 @ SV966 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2240]) ).
thf(2686,plain,
! [SV967: $i,SV528: $i,SV83: $i] :
( ( ! [SY6783: $i,SY6784: $i,SY6785: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV83 @ SV528 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV83 @ ( c_Expr_Oexp_OVal @ SV967 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY6783 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6784 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY6783 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6784 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6785 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2241]) ).
thf(2687,plain,
! [SV968: $i,SV529: $i,SV84: $i] :
( ( ! [SY6786: $i,SY6787: $i,SY6788: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV84 @ SV529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY6786 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6787 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6788 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY6789: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV529 @ SY6789 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY6786 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6787 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6788 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV84 @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6789 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6788 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2242]) ).
thf(2688,plain,
! [SV969: $i,SV530: $i,SV85: $i] :
( ( ! [SY6790: $i,SY6791: $i] :
( ( c_Expr_Oexp_OCond @ SV85 @ SV530 @ SV969 @ SY6790 )
!= ( c_Expr_Oexp_Othrow @ SY6791 @ SY6790 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2243]) ).
thf(2689,plain,
! [SV970: $i,SV531: $i,SV86: $i] :
( ( ! [SY6792: $i,SY6793: $i,SY6794: $i] :
( ( c_Expr_Oexp_OLAss @ SV86 @ SV531 @ SV970 )
!= ( c_Expr_Oexp_OBlock @ SY6792 @ SY6793 @ SY6794 @ SV970 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2244]) ).
thf(2690,plain,
! [SV971: $i,SV532: $i,SV87: $i] :
( ( ! [SY6795: $i,SY6796: $i,SY6797: $i] :
( ( c_Expr_Oexp_OCast @ SV87 @ SV532 @ SV971 )
!= ( c_Expr_Oexp_OBinOp @ SY6795 @ SY6796 @ SY6797 @ SV971 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2245]) ).
thf(2691,plain,
! [SV972: $i,SV533: $i,SV88: $i] :
( ( ( c_Decl_Ois__class @ SV88 @ SV533 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY6798: $i,SY6799: $i] :
~ ( c_WellType_OWT @ SV88 @ SV972 @ ( c_Expr_Oexp_OCast @ SV533 @ SY6798 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6799 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2246]) ).
thf(2692,plain,
! [SV973: $i,SV534: $i,SV89: $i] :
( ( ! [SY6800: $i,SY6801: $i,SY6802: $i,SY6803: $i] :
( ( c_Expr_Oexp_OBlock @ SV89 @ SV534 @ SV973 @ SY6800 )
!= ( c_Expr_Oexp_OBinOp @ SY6801 @ SY6802 @ SY6803 @ SY6800 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2247]) ).
thf(2693,plain,
! [SV974: $i,SV535: $i,SV90: $i] :
( ( ! [SY6804: $i,SY6805: $i] :
( ( c_BigStep_Oeval @ SV90 @ ( c_Expr_Oexp_OWhile @ SV535 @ SV974 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6804 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6805 )
| ~ ( c_BigStep_Oeval @ SV90 @ SV535 @ SY6804 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6805 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2248]) ).
thf(2694,plain,
! [SV975: $i,SV536: $i,SV91: $i] :
( ( ! [SY6806: $i] :
( ( c_Expr_Oexp_OVal @ SV91 @ SV536 )
!= ( c_Expr_Oexp_OLAss @ SV975 @ SY6806 @ SV536 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2249]) ).
thf(2695,plain,
! [SV976: $i,SV537: $i,SV92: $i] :
( ( ( SV92
= ( c_Type_Oty_OClass @ SV537 ) )
| ! [SY6807: $i,SY6808: $i] :
~ ( c_WellType_OWT @ SV976 @ SY6807 @ ( c_Expr_Oexp_OCast @ SV537 @ SY6808 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2250]) ).
thf(2696,plain,
! [SV977: $i,SV538: $i,SV93: $i] :
( ( c_SmallStep_Oredp @ SV93 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_Othrow @ SV538 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV977 @ ( c_Expr_Oexp_Othrow @ SV538 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV977 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2251]) ).
thf(2697,plain,
! [SV978: $i,SV539: $i,SV94: $i] :
( ( ! [SY6809: $i,SY6810: $i,SY6811: $i,SY6812: $i] :
( ( c_BigStep_Oeval @ SV94 @ ( c_Expr_Oexp_OCall @ SV539 @ SV978 @ SY6809 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6810 @ ( c_Expr_Oexp_Othrow @ SY6811 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6812 )
| ~ ( c_BigStep_Oeval @ SV94 @ SV539 @ SY6810 @ ( c_Expr_Oexp_Othrow @ SY6811 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6812 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2252]) ).
thf(2698,plain,
! [SV979: $i,SV540: $i,SV95: $i] :
( ( ! [SY6813: $i] :
( ( c_Expr_Oexp_OLAss @ SV95 @ SV540 @ SV979 )
!= ( c_Expr_Oexp_Othrow @ SY6813 @ SV979 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2253]) ).
thf(2699,plain,
! [SV980: $i,SV541: $i,SV96: $i] :
( ( ! [SY6814: $i,SY6815: $i,SY6816: $i] :
( ( c_Expr_Oexp_OBinOp @ SV96 @ SV541 @ SV980 @ SY6814 )
!= ( c_Expr_Oexp_OCast @ SY6815 @ SY6816 @ SY6814 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2254]) ).
thf(2700,plain,
! [SV981: $i,SV542: $i,SV97: $i] :
( ( ! [SY6817: $i] :
( ( c_Map_Omap__le @ SV97 @ SV542 @ SV981 @ SY6817 )
| ! [SY6818: $i] :
~ ( c_Map_Omap__le @ ( c_Map_Omap__add @ SY6818 @ SV97 @ SV981 @ SY6817 ) @ SV542 @ SV981 @ SY6817 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2255]) ).
thf(2701,plain,
! [SV982: $i,SV543: $i,SV98: $i] :
( ( ! [SY6819: $i,SY6820: $i] :
( ( c_Expr_Oexp_OLAss @ SV98 @ SV543 @ SV982 )
!= ( c_Expr_Oexp_OSeq @ SY6819 @ SY6820 @ SV982 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2256]) ).
thf(2702,plain,
! [SV983: $i,SV544: $i,SV99: $i] :
( ( ! [SY6821: $i,SY6822: $i] : ( c_SmallStep_Oredp @ SV99 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ SV544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV983 @ SY6821 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6822 @ ( c_Expr_Oexp_Othrow @ SV544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6822 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2257]) ).
thf(2703,plain,
! [SV984: $i,SV545: $i,SV100: $i] :
( ( ! [SY6823: $i,SY6824: $i,SY6825: $i,SY6826: $i] :
( ( c_Expr_Oexp_OBinOp @ SV100 @ SV545 @ SV984 @ SY6823 )
!= ( c_Expr_Oexp_OCall @ SY6824 @ SY6825 @ SY6826 @ SY6823 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2258]) ).
thf(2704,plain,
! [SV985: $i,SV546: $i,SV101: $i] :
( ( ! [SY6827: $i,SY6828: $i,SY6829: $i] :
( ( c_Expr_Oexp_OLAss @ SV101 @ SV546 @ SV985 )
!= ( c_Expr_Oexp_OBinOp @ SY6827 @ SY6828 @ SY6829 @ SV985 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2259]) ).
thf(2705,plain,
! [SV986: $i,SV547: $i,SV102: $i] :
( ( ! [SY6830: $i,SY6831: $i,SY6832: $i,SY6833: $i] :
( ( c_Expr_Oexp_OCall @ SV102 @ SV547 @ SV986 @ SY6830 )
!= ( c_Expr_Oexp_OCond @ SY6831 @ SY6832 @ SY6833 @ SY6830 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2260]) ).
thf(2706,plain,
! [SV987: $i,SV548: $i,SV103: $i] :
( ( ! [SY6834: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV103 @ ( c_Expr_Oexp_Othrow @ SV548 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV987 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV548 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV987 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY6834 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2261]) ).
thf(2707,plain,
! [SV988: $i,SV549: $i,SV104: $i] :
( ( ! [SY6835: $i,SY6836: $i,SY6837: $i,SY6838: $i] :
( ( c_Expr_Oexp_OCall @ SV104 @ SV549 @ SV988 @ SY6835 )
!= ( c_Expr_Oexp_OBlock @ SY6836 @ SY6837 @ SY6838 @ SY6835 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2262]) ).
thf(2708,plain,
! [SV989: $i,SV550: $i,SV105: $i] :
( ( ! [SY6839: $i,SY6840: $i] : ( c_SmallStep_Oredp @ SV105 @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ SV550 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV989 @ SY6839 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6840 @ ( c_Expr_Oexp_Othrow @ SV550 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6840 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2263]) ).
thf(2709,plain,
! [SV990: $i,SV551: $i,SV106: $i] :
( ( ! [SY6841: $i,SY6842: $i,SY6843: $i,SY6844: $i] :
( ( c_BigStep_Oeval @ SV106 @ ( c_Expr_Oexp_OCond @ SV551 @ SV990 @ SY6841 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6842 @ SY6843 @ SY6844 )
| ! [SY5201: $i] :
( ~ ( c_BigStep_Oeval @ SV106 @ SY6841 @ SY5201 @ SY6843 @ SY6844 )
| ~ ( c_BigStep_Oeval @ SV106 @ SV551 @ SY6842 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2264]) ).
thf(2710,plain,
! [SV991: $i,SV552: $i,SV107: $i] :
( ( ! [SY6846: $i,SY6847: $i,SY6848: $i] :
( ( c_Expr_Oexp_OCall @ SV107 @ SV552 @ SV991 @ SY6846 )
!= ( c_Expr_Oexp_OSeq @ SY6847 @ SY6848 @ SY6846 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2265]) ).
thf(2711,plain,
! [SV992: $i,SV553: $i,SV108: $i] :
( ( ( ( c_Expr_Oexp_Othrow @ SV108 @ SV553 )
!= ( c_Expr_Oexp_Othrow @ SV992 @ SV553 ) )
| ( SV108 = SV992 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2266]) ).
thf(2712,plain,
! [SV993: $i,SV554: $i,SV109: $i] :
( ( ! [SY6849: $i,SY6850: $i,SY6851: $i] :
( ( c_Expr_Oexp_OFAcc @ SV109 @ SV554 @ SV993 @ SY6849 )
!= ( c_Expr_Oexp_OLAss @ SY6850 @ SY6851 @ SY6849 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2267]) ).
thf(2713,plain,
! [SV994: $i,SV555: $i,SV110: $i] :
( ( ! [SY6852: $i,SY6853: $i,SY6854: $i,SY6855: $i] :
( ( c_Expr_Oexp_OLAss @ SV110 @ SV555 @ SV994 )
!= ( c_Expr_Oexp_OFAss @ SY6852 @ SY6853 @ SY6854 @ SY6855 @ SV994 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2268]) ).
thf(2714,plain,
! [SV995: $i,SV556: $i,SV111: $i] :
( ( ! [SY6856: $i,SY6857: $i,SY6858: $i] :
( ( c_BigStep_Oeval @ SV111 @ ( c_Expr_Oexp_OLAss @ SV556 @ SV995 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6856 @ ( c_Expr_Oexp_Othrow @ SY6857 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6858 )
| ~ ( c_BigStep_Oeval @ SV111 @ SV995 @ SY6856 @ ( c_Expr_Oexp_Othrow @ SY6857 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6858 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2269]) ).
thf(2715,plain,
! [SV996: $i,SV557: $i,SV112: $i] :
( ( ! [SY6859: $i,SY6860: $i] :
( ( c_Expr_Oexp_OCall @ SV112 @ SV557 @ SV996 @ SY6859 )
!= ( c_Expr_Oexp_Othrow @ SY6860 @ SY6859 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2270]) ).
thf(2716,plain,
! [SV997: $i,SV558: $i,SV113: $i] :
( ( ! [SY6861: $i,SY6862: $i,SY6863: $i,SY6864: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV113 @ SV558 @ SV997 @ SY6861 @ SY6862 )
!= ( c_Expr_Oexp_OCast @ SY6863 @ SY6864 @ SY6862 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2271]) ).
thf(2717,plain,
! [SV998: $i,SV559: $i,SV114: $i] :
( ( ! [SY6865: $i,SY6866: $i,SY6867: $i,SY6868: $i] :
( ( c_Expr_Oexp_OCast @ SV114 @ SV559 @ SV998 )
!= ( c_Expr_Oexp_OFAss @ SY6865 @ SY6866 @ SY6867 @ SY6868 @ SV998 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2272]) ).
thf(2718,plain,
! [SV999: $i,SV560: $i,SV115: $i] :
( ( ! [SY6869: $i,SY6870: $i,SY6871: $i] :
( ( c_Expr_Oexp_OCond @ SV115 @ SV560 @ SV999 @ SY6869 )
!= ( c_Expr_Oexp_OCast @ SY6870 @ SY6871 @ SY6869 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2273]) ).
thf(2719,plain,
! [SV1000: $i,SV561: $i,SV116: $i] :
( ( ! [SY6872: $i,SY6873: $i] :
( ( c_Expr_Oexp_OCast @ SV116 @ SV561 @ SV1000 )
!= ( c_Expr_Oexp_OWhile @ SY6872 @ SY6873 @ SV1000 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2274]) ).
thf(2720,plain,
! [SV1001: $i,SV562: $i,SV117: $i] :
( ( ! [SY6874: $i,SY6875: $i] :
( ( c_Expr_Oexp_OLAss @ SV117 @ SV562 @ SV1001 )
!= ( c_Expr_Oexp_OCast @ SY6874 @ SY6875 @ SV1001 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2275]) ).
thf(2721,plain,
! [SV1002: $i,SV563: $i,SV118: $i] :
( ( ! [SY6876: $i,SY6877: $i,SY6878: $i] :
( ( c_Expr_Oexp_OBlock @ SV118 @ SV563 @ SV1002 @ SY6876 )
!= ( c_Expr_Oexp_OWhile @ SY6877 @ SY6878 @ SY6876 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2276]) ).
thf(2722,plain,
! [SV1003: $i,SV564: $i,SV119: $i] :
( ( ! [SY6879: $i,SY6880: $i,SY6881: $i,SY6882: $i,SY6883: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV119 @ SV564 @ SV1003 @ SY6879 @ SY6880 )
!= ( c_Expr_Oexp_OCall @ SY6881 @ SY6882 @ SY6883 @ SY6880 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2277]) ).
thf(2723,plain,
! [SV1004: $i,SV565: $i,SV120: $i] :
( ( ! [SY6884: $i,SY6885: $i,SY6886: $i,SY6887: $i] :
( ( c_Expr_Oexp_OCond @ SV120 @ SV565 @ SV1004 @ SY6884 )
!= ( c_Expr_Oexp_OCall @ SY6885 @ SY6886 @ SY6887 @ SY6884 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2278]) ).
thf(2724,plain,
! [SV1005: $i,SV566: $i,SV121: $i] :
( ( ! [SY6888: $i] :
( ( c_Expr_Oexp_Othrow @ SV121 @ SV566 )
!= ( c_Expr_Oexp_OSeq @ SV1005 @ SY6888 @ SV566 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2279]) ).
thf(2725,plain,
! [SV1006: $i,SV567: $i,SV122: $i] :
( ( ! [SY6889: $i,SY6890: $i,SY6891: $i,SY6892: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV122 @ SV567 @ SV1006 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6889 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY6890 @ SY6891 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6892 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY6893: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1006 @ SY6893 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY6890 @ SY6891 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6892 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV122 @ SY6889 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6893 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY6892 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2280]) ).
thf(2726,plain,
! [SV1007: $i,SV568: $i,SV123: $i] :
( ( ! [SY6894: $i,SY6895: $i,SY6896: $i,SY6897: $i] :
( ( c_Expr_Oexp_OFAss @ SV123 @ SV568 @ SV1007 @ SY6894 @ SY6895 )
!= ( c_Expr_Oexp_OLAss @ SY6896 @ SY6897 @ SY6895 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2281]) ).
thf(2727,plain,
! [SV1008: $i,SV569: $i,SV124: $i] :
( ( ! [SY6898: $i,SY6899: $i,SY6900: $i] :
( ( c_Expr_Oexp_OLAss @ SV124 @ SV569 @ SV1008 )
!= ( c_Expr_Oexp_OCall @ SY6898 @ SY6899 @ SY6900 @ SV1008 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2282]) ).
thf(2728,plain,
! [SV1009: $i,SV570: $i,SV125: $i] :
( ( ! [SY6901: $i,SY6902: $i,SY6903: $i] :
( ( c_Expr_Oexp_OLAss @ SV125 @ SV570 @ SV1009 )
!= ( c_Expr_Oexp_OFAcc @ SY6901 @ SY6902 @ SY6903 @ SV1009 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2283]) ).
thf(2729,plain,
! [SV1010: $i,SV571: $i,SV126: $i] :
( ( ! [SY6904: $i,SY6905: $i,SY6906: $i,SY6907: $i] :
( ( c_Expr_Oexp_OCall @ SV126 @ SV571 @ SV1010 @ SY6904 )
!= ( c_Expr_Oexp_OBinOp @ SY6905 @ SY6906 @ SY6907 @ SY6904 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2284]) ).
thf(2730,plain,
! [SV1011: $i,SV572: $i,SV127: $i] :
( ( ! [SY6908: $i,SY6909: $i,SY6910: $i,SY6911: $i] :
( ( c_BigStep_Oeval @ SV127 @ ( c_Expr_Oexp_OCond @ SV572 @ SV1011 @ SY6908 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6909 @ ( c_Expr_Oexp_Othrow @ SY6910 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6911 )
| ~ ( c_BigStep_Oeval @ SV127 @ SV572 @ SY6909 @ ( c_Expr_Oexp_Othrow @ SY6910 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2285]) ).
thf(2731,plain,
! [SV1012: $i,SV573: $i,SV128: $i] :
( ( ! [SY6912: $i] : ( c_SmallStep_Oredp @ SV128 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ SV573 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1012 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6912 @ ( c_Expr_Oexp_Othrow @ SV573 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6912 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2286]) ).
thf(2732,plain,
! [SV1013: $i,SV574: $i,SV129: $i] :
( ( ! [SY6913: $i,SY6914: $i,SY6915: $i] :
( ( c_Expr_Oexp_OCast @ SV129 @ SV574 @ SV1013 )
!= ( c_Expr_Oexp_OCall @ SY6913 @ SY6914 @ SY6915 @ SV1013 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2287]) ).
thf(2733,plain,
! [SV1014: $i,SV575: $i,SV130: $i] :
( ( ! [SY6916: $i,SY6917: $i,SY6918: $i] :
( ( c_Expr_Oexp_OCast @ SV130 @ SV575 @ SV1014 )
!= ( c_Expr_Oexp_OFAcc @ SY6916 @ SY6917 @ SY6918 @ SV1014 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2288]) ).
thf(2734,plain,
! [SV1015: $i,SV576: $i,SV131: $i] :
( ( ! [SY6919: $i,SY6920: $i,SY6921: $i] :
( ( c_BigStep_Oeval @ SV131 @ ( c_Expr_Oexp_OWhile @ SV576 @ SV1015 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6919 @ ( c_Expr_Oexp_Othrow @ SY6920 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6921 )
| ~ ( c_BigStep_Oeval @ SV131 @ SV576 @ SY6919 @ ( c_Expr_Oexp_Othrow @ SY6920 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6921 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2289]) ).
thf(2735,plain,
! [SV1016: $i,SV577: $i,SV132: $i] :
( ( ! [SY6922: $i,SY6923: $i,SY6924: $i,SY6925: $i,SY6926: $i] :
( ( c_Expr_Oexp_OBlock @ SV132 @ SV577 @ SV1016 @ SY6922 )
!= ( c_Expr_Oexp_OFAss @ SY6923 @ SY6924 @ SY6925 @ SY6926 @ SY6922 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2290]) ).
thf(2736,plain,
! [SV1017: $i,SV578: $i,SV133: $i] :
( ( ! [SY6927: $i,SY6928: $i,SY6929: $i] :
( ( c_Expr_Oexp_Othrow @ SV133 @ SV578 )
!= ( c_Expr_Oexp_OTryCatch @ SV1017 @ SY6927 @ SY6928 @ SY6929 @ SV578 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2291]) ).
thf(2737,plain,
! [SV1018: $i,SV579: $i,SV134: $i] :
( ( ! [SY6930: $i,SY6931: $i,SY6932: $i] :
( ( c_BigStep_Oeval @ SV134 @ ( c_Expr_Oexp_OCast @ SV579 @ SV1018 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6930 @ ( c_Expr_Oexp_Othrow @ SY6931 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6932 )
| ~ ( c_BigStep_Oeval @ SV134 @ SV1018 @ SY6930 @ ( c_Expr_Oexp_Othrow @ SY6931 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6932 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2292]) ).
thf(2738,plain,
! [SV1019: $i,SV580: $i,SV135: $i] :
( ( ! [SY6933: $i,SY6934: $i] :
( ( c_Expr_Oexp_OBlock @ SV135 @ SV580 @ SV1019 @ SY6933 )
!= ( c_Expr_Oexp_OVal @ SY6934 @ SY6933 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2293]) ).
thf(2739,plain,
! [SV1020: $i,SV581: $i,SV136: $i] :
( ( ! [SY6935: $i,SY6936: $i] : ( c_SmallStep_Oredp @ SV136 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1020 @ SY6935 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6936 @ ( c_Expr_Oexp_Othrow @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6936 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2294]) ).
thf(2740,plain,
! [SV1021: $i,SV582: $i,SV137: $i] :
( ( ! [SY6937: $i,SY6938: $i] :
( ! [SY6939: $i,SY6940: $i] :
( ( c_Expr_Oexp_OCall @ SV137 @ SV582 @ SV1021 @ SY6937 )
!= ( c_Expr_Oexp_OCall @ SY6938 @ SY6939 @ SY6940 @ SY6937 ) )
| ( SV137 = SY6938 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2295]) ).
thf(2741,plain,
! [SV1022: $i,SV583: $i,SV138: $i] :
( ( ! [SY6941: $i,SY6942: $i,SY6943: $i] :
( ! [SY6944: $i] :
( ( c_Expr_Oexp_OCall @ SV138 @ SV583 @ SV1022 @ SY6941 )
!= ( c_Expr_Oexp_OCall @ SY6942 @ SY6943 @ SY6944 @ SY6941 ) )
| ( SV583 = SY6943 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2296]) ).
thf(2742,plain,
! [SV1023: $i,SV584: $i,SV139: $i] :
( ( ! [SY6945: $i,SY6946: $i,SY6947: $i,SY6948: $i] :
( ( ( c_Expr_Oexp_OCall @ SV139 @ SV584 @ SV1023 @ SY6945 )
!= ( c_Expr_Oexp_OCall @ SY6946 @ SY6947 @ SY6948 @ SY6945 ) )
| ( SV1023 = SY6948 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2297]) ).
thf(2743,plain,
! [SV1024: $i,SV585: $i,SV140: $i] :
( ( ! [SY6949: $i,SY6950: $i,SY6951: $i] :
( ( c_Expr_Oexp_OBlock @ SV140 @ SV585 @ SV1024 @ SY6949 )
!= ( c_Expr_Oexp_OCast @ SY6950 @ SY6951 @ SY6949 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2298]) ).
thf(2744,plain,
! [SV1025: $i,SV586: $i,SV141: $i] :
( ( ! [SY6952: $i] : ( c_SmallStep_Oredp @ SV141 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV586 @ SV1025 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6952 @ SV1025 @ SY6952 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2299]) ).
thf(2745,plain,
! [SV1026: $i,SV587: $i,SV142: $i] :
( ( ! [SY6953: $i,SY6954: $i] :
( ( c_Expr_Oexp_OLAss @ SV142 @ SV587 @ SV1026 )
!= ( c_Expr_Oexp_OWhile @ SY6953 @ SY6954 @ SV1026 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2300]) ).
thf(2746,plain,
! [SV1027: $i,SV588: $i,SV143: $i] :
( ( ! [SY6955: $i,SY6956: $i,SY6957: $i] :
( ( c_Expr_Oexp_Othrow @ SV143 @ SV588 )
!= ( c_Expr_Oexp_OFAss @ SV1027 @ SY6955 @ SY6956 @ SY6957 @ SV588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2301]) ).
thf(2747,plain,
! [SV1028: $i,SV589: $i,SV144: $i] :
( ( ! [SY6958: $i,SY6959: $i,SY6960: $i,SY6961: $i] :
( ( c_Expr_Oexp_OBlock @ SV144 @ SV589 @ SV1028 @ SY6958 )
!= ( c_Expr_Oexp_OCall @ SY6959 @ SY6960 @ SY6961 @ SY6958 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2302]) ).
thf(2748,plain,
! [SV1029: $i,SV590: $i,SV145: $i] :
( ( ! [SY6962: $i,SY6963: $i,SY6964: $i,SY6965: $i] :
( ( c_Expr_Oexp_OBlock @ SV145 @ SV590 @ SV1029 @ SY6962 )
!= ( c_Expr_Oexp_OFAcc @ SY6963 @ SY6964 @ SY6965 @ SY6962 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2303]) ).
thf(2749,plain,
! [SV1030: $i,SV591: $i,SV146: $i] :
( ( ! [SY6966: $i,SY6967: $i] :
( ( c_Expr_Oexp_Othrow @ SV146 @ SV591 )
!= ( c_Expr_Oexp_OBlock @ SV1030 @ SY6966 @ SY6967 @ SV591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2304]) ).
thf(2750,plain,
! [SV1031: $i,SV592: $i,SV147: $i] :
( ( ! [SY6968: $i,SY6969: $i] : ( c_SmallStep_Oredp @ SV147 @ ( c_Expr_Oexp_OBlock @ SV592 @ SV1031 @ ( c_Expr_Oexp_OVal @ SY6968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6969 @ ( c_Expr_Oexp_OVal @ SY6968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6969 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2305]) ).
thf(2751,plain,
! [SV1032: $i,SV593: $i,SV148: $i] :
( ( ! [SY6970: $i] :
( ( c_Expr_Oexp_Othrow @ SV148 @ SV593 )
!= ( c_Expr_Oexp_OCast @ SV1032 @ SY6970 @ SV593 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2306]) ).
thf(2752,plain,
! [SV1033: $i,SV594: $i,SV149: $i] :
( ( ! [SY6971: $i,SY6972: $i] :
( ( c_Conform_Olconf @ SV149 @ SV594 @ SV1033 @ SY6971 @ SY6972 )
| ! [SY6973: $i] :
( ~ ( c_Objects_Ohext @ SY6973 @ SV594 )
| ~ ( c_Conform_Olconf @ SV149 @ SY6973 @ SV1033 @ SY6971 @ SY6972 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2307]) ).
thf(2753,plain,
! [SV1034: $i,SV595: $i,SV150: $i] :
( ( ! [SY6974: $i,SY6975: $i] :
( ( c_SmallStep_Oredp @ SV150 @ ( c_Expr_Oexp_Othrow @ SV595 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1034 @ ( c_Expr_Oexp_Othrow @ SY6974 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6975 )
| ~ ( c_SmallStep_Oredp @ SV150 @ SV595 @ SV1034 @ SY6974 @ SY6975 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2308]) ).
thf(2754,plain,
! [SV1035: $i,SV596: $i,SV151: $i] :
( ( ! [SY6976: $i] :
( ( c_Expr_Oexp_OLAss @ SV151 @ SV596 @ SV1035 )
!= ( c_Expr_Oexp_OVal @ SY6976 @ SV1035 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2309]) ).
thf(2755,plain,
! [SV1036: $i,SV597: $i,SV152: $i] :
( ( ! [SY6977: $i,SY6978: $i] :
( ( c_Expr_Oexp_Othrow @ SV152 @ SV597 )
!= ( c_Expr_Oexp_OCall @ SV1036 @ SY6977 @ SY6978 @ SV597 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2310]) ).
thf(2756,plain,
! [SV1037: $i,SV598: $i,SV153: $i] :
( ( ! [SY6979: $i,SY6980: $i] :
( ( c_Expr_Oexp_Othrow @ SV153 @ SV598 )
!= ( c_Expr_Oexp_OFAcc @ SV1037 @ SY6979 @ SY6980 @ SV598 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2311]) ).
thf(2757,plain,
! [SV1038: $i,SV599: $i,SV154: $i] :
( ( ! [SY6981: $i,SY6982: $i,SY6983: $i,SY6984: $i,SY6985: $i] :
( ( c_Expr_Oexp_OFAss @ SV154 @ SV599 @ SV1038 @ SY6981 @ SY6982 )
!= ( c_Expr_Oexp_OBlock @ SY6983 @ SY6984 @ SY6985 @ SY6982 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2312]) ).
thf(2758,plain,
! [SV1039: $i,SV600: $i,SV155: $i] :
( ( ! [SY6986: $i,SY6987: $i,SY6988: $i] :
( ( c_Expr_Oexp_OCall @ SV155 @ SV600 @ SV1039 @ SY6986 )
!= ( c_Expr_Oexp_OWhile @ SY6987 @ SY6988 @ SY6986 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2313]) ).
thf(2759,plain,
! [SV1040: $i,SV601: $i,SV156: $i] :
( ( ! [SY6989: $i,SY6990: $i] :
( ( c_Expr_Oexp_OCall @ SV156 @ SV601 @ SV1040 @ SY6989 )
!= ( c_Expr_Oexp_OVal @ SY6990 @ SY6989 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2314]) ).
thf(2760,plain,
! [SV1041: $i,SV602: $i,SV157: $i] :
( ( ! [SY6991: $i,SY6992: $i,SY6993: $i,SY6994: $i] :
( ( c_BigStep_Oeval @ SV157 @ ( c_Expr_Oexp_OBinOp @ SV602 @ SV1041 @ SY6991 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6992 @ ( c_Expr_Oexp_Othrow @ SY6993 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6994 )
| ~ ( c_BigStep_Oeval @ SV157 @ SV602 @ SY6992 @ ( c_Expr_Oexp_Othrow @ SY6993 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6994 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2315]) ).
thf(2761,plain,
! [SV1042: $i,SV603: $i,SV158: $i] :
( ( ! [SY6995: $i,SY6996: $i] :
( ( c_Expr_Oexp_Othrow @ SV158 @ SV603 )
!= ( c_Expr_Oexp_OBinOp @ SV1042 @ SY6995 @ SY6996 @ SV603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2316]) ).
thf(2762,plain,
! [SV1043: $i,SV604: $i,SV159: $i] :
( ( ! [SY6997: $i] :
( ! [SY6998: $i] :
( ( c_Expr_Oexp_OCast @ SV159 @ SV604 @ SV1043 )
!= ( c_Expr_Oexp_OCast @ SY6997 @ SY6998 @ SV1043 ) )
| ( SV159 = SY6997 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2317]) ).
thf(2763,plain,
! [SV1044: $i,SV605: $i,SV160: $i] :
( ( ! [SY6999: $i,SY7000: $i] :
( ( ( c_Expr_Oexp_OCast @ SV160 @ SV605 @ SV1044 )
!= ( c_Expr_Oexp_OCast @ SY6999 @ SY7000 @ SV1044 ) )
| ( SV605 = SY7000 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2318]) ).
thf(2764,plain,
! [SV1045: $i,SV606: $i,SV161: $i] :
( ( ! [SY7001: $i,SY7002: $i,SY7003: $i,SY7004: $i,SY7005: $i] :
( ( c_Expr_Oexp_OCall @ SV161 @ SV606 @ SV1045 @ SY7001 )
!= ( c_Expr_Oexp_OFAss @ SY7002 @ SY7003 @ SY7004 @ SY7005 @ SY7001 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2319]) ).
thf(2765,plain,
! [SV1046: $i,SV607: $i,SV162: $i] :
( ( ! [SY7006: $i,SY7007: $i,SY7008: $i] :
( ( c_Expr_Oexp_OFAss @ SV162 @ SV607 @ SV1046 @ SY7006 @ SY7007 )
!= ( c_Expr_Oexp_Othrow @ SY7008 @ SY7007 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2320]) ).
thf(2766,plain,
! [SV1047: $i,SV608: $i,SV163: $i] :
( ( ! [SY7009: $i,SY7010: $i] : ( c_SmallStep_Oredp @ SV163 @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ SV608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1047 @ SY7009 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7010 @ ( c_Expr_Oexp_Othrow @ SV608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7010 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2321]) ).
thf(2767,plain,
! [SV1048: $i,SV609: $i,SV164: $i] :
( ( ! [SY7011: $i,SY7012: $i,SY7013: $i] :
( ( c_Expr_Oexp_OBinOp @ SV164 @ SV609 @ SV1048 @ SY7011 )
!= ( c_Expr_Oexp_OLAss @ SY7012 @ SY7013 @ SY7011 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2322]) ).
thf(2768,plain,
! [SV1049: $i,SV610: $i,SV165: $i] :
( ( ! [SY7014: $i,SY7015: $i,SY7016: $i,SY7017: $i] :
( ( c_Expr_Oexp_OFAcc @ SV165 @ SV610 @ SV1049 @ SY7014 )
!= ( c_Expr_Oexp_OBlock @ SY7015 @ SY7016 @ SY7017 @ SY7014 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2323]) ).
thf(2769,plain,
! [SV1050: $i,SV611: $i,SV166: $i] :
( ( ! [SY7018: $i,SY7019: $i,SY7020: $i] :
( ( c_Expr_Oexp_OCall @ SV166 @ SV611 @ SV1050 @ SY7018 )
!= ( c_Expr_Oexp_OCast @ SY7019 @ SY7020 @ SY7018 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2324]) ).
thf(2770,plain,
! [SV1051: $i,SV612: $i,SV167: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV167 @ SV612 )
!= ( c_Expr_Oexp_OVal @ SV1051 @ SV612 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2325]) ).
thf(2771,plain,
! [SV1052: $i,SV613: $i,SV168: $i] :
( ( ! [SY7021: $i,SY7022: $i,SY7023: $i,SY7024: $i] :
( ( c_Expr_Oexp_OLAss @ SV168 @ SV613 @ SV1052 )
!= ( c_Expr_Oexp_OTryCatch @ SY7021 @ SY7022 @ SY7023 @ SY7024 @ SV1052 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2326]) ).
thf(2772,plain,
! [SV1053: $i,SV614: $i,SV169: $i] :
( ( ! [SY7025: $i,SY7026: $i,SY7027: $i,SY7028: $i] :
( ( c_Expr_Oexp_OCall @ SV169 @ SV614 @ SV1053 @ SY7025 )
!= ( c_Expr_Oexp_OFAcc @ SY7026 @ SY7027 @ SY7028 @ SY7025 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2327]) ).
thf(2773,plain,
! [SV1054: $i,SV615: $i,SV170: $i] :
( ( ! [SY7029: $i,SY7030: $i] :
( ( c_Expr_Oexp_OFAcc @ SV170 @ SV615 @ SV1054 @ SY7029 )
!= ( c_Expr_Oexp_Othrow @ SY7030 @ SY7029 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2328]) ).
thf(2774,plain,
! [SV1055: $i,SV616: $i,SV171: $i] :
( ( ! [SY7031: $i,SY7032: $i,SY7033: $i] : ( c_SmallStep_Oredp @ SV171 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ SV616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1055 @ SY7031 @ SY7032 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7033 @ ( c_Expr_Oexp_Othrow @ SV616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7033 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2329]) ).
thf(2775,plain,
! [SV1056: $i,SV617: $i,SV172: $i] :
( ( ! [SY7034: $i] : ( c_Map_Omap__le @ SV172 @ ( c_Map_Omap__add @ SV617 @ SV172 @ SV1056 @ SY7034 ) @ SV1056 @ SY7034 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2330]) ).
thf(2776,plain,
! [SV1057: $i,SV618: $i,SV173: $i] :
( ( ! [SY7035: $i,SY7036: $i] :
( ( c_Expr_Oexp_OSeq @ SV173 @ SV618 @ SV1057 )
!= ( c_Expr_Oexp_OCast @ SY7035 @ SY7036 @ SV1057 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2331]) ).
thf(2777,plain,
! [SV1058: $i,SV619: $i,SV174: $i] :
( ( ! [SY7037: $i,SY7038: $i] :
( ( c_Expr_Oexp_OWhile @ SV174 @ SV619 @ SV1058 )
!= ( c_Expr_Oexp_OCast @ SY7037 @ SY7038 @ SV1058 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2332]) ).
thf(2778,plain,
! [SV1059: $i,SV620: $i,SV175: $i] :
( ( ! [SY7039: $i] : ( c_SmallStep_Oredp @ SV175 @ ( c_Expr_Oexp_OCast @ SV620 @ ( c_Expr_Oexp_Othrow @ SV1059 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7039 @ ( c_Expr_Oexp_Othrow @ SV1059 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7039 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2333]) ).
thf(2779,plain,
! [SV1060: $i,SV621: $i,SV176: $i] :
( ( ! [SY7040: $i,SY7041: $i] :
( ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SY7040 ) @ SY7041 @ SV1060 @ SY7040 )
| ~ ( c_Map_Omap__le @ SV176 @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SY7040 ) @ SV1060 @ SY7040 )
| ~ ( c_Map_Omap__le @ SV621 @ SY7041 @ SV1060 @ SY7040 )
| ~ ( c_Map_Omap__le @ SV176 @ SY7041 @ SV1060 @ SY7040 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2334]) ).
thf(2780,plain,
! [SV1061: $i,SV622: $i,SV177: $i] :
( ( ! [SY7042: $i,SY7043: $i] :
( ( c_BigStep_Oeval @ SV177 @ ( c_Expr_Oexp_OCast @ SV622 @ SV1061 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7042 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7043 )
| ~ ( c_BigStep_Oeval @ SV177 @ SV1061 @ SY7042 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7043 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2335]) ).
thf(2781,plain,
! [SV1062: $i,SV623: $i,SV178: $i] :
( ( ! [SY7044: $i,SY7045: $i,SY7046: $i,SY7047: $i] :
( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SV623 @ SV1062 @ SY7044 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7045 @ ( c_Expr_Oexp_Othrow @ SY7046 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7047 )
| ! [SY5476: $i] :
( ~ ( c_BigStep_Oeval @ SV178 @ SY7044 @ SY5476 @ ( c_Expr_Oexp_Othrow @ SY7046 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7047 )
| ! [SY5477: $i] :
~ ( c_BigStep_Oeval @ SV178 @ SV623 @ SY7045 @ ( c_Expr_Oexp_OVal @ SY5477 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5476 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2336]) ).
thf(2782,plain,
! [SV1063: $i,SV624: $i,SV179: $i] :
( ( ! [SY7050: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV179 @ SV624 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1063 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV624 @ SV1063 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7050 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2337]) ).
thf(2783,plain,
! [SV1064: $i,SV625: $i,SV180: $i] :
( ( ! [SY7051: $i,SY7052: $i,SY7053: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV180 @ SV625 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV180 @ ( c_Expr_Oexp_OVal @ SV1064 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ SY7051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7052 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY7051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7052 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7053 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2338]) ).
thf(2784,plain,
! [SV1065: $i,SV626: $i,SV181: $i] :
( ( ! [SY7054: $i,SY7055: $i,SY7056: $i,SY7057: $i,SY7058: $i] :
( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SV1065 @ SY7054 @ SY7055 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7056 @ ( c_Expr_Oexp_Othrow @ SY7057 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7058 )
| ! [SY5490: $i] :
( ~ ( c_BigStep_Oeval @ SV181 @ SY7055 @ SY5490 @ ( c_Expr_Oexp_Othrow @ SY7057 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7058 )
| ! [SY5491: $i] :
~ ( c_BigStep_Oeval @ SV181 @ SV626 @ SY7056 @ ( c_Expr_Oexp_OVal @ SY5491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5490 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2339]) ).
thf(2785,plain,
! [SV1066: $i,SV627: $i,SV182: $i] :
( ( c_SmallStep_Oredp @ SV182 @ ( c_Expr_Oexp_OCast @ SV627 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1066 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1066 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2340]) ).
thf(2786,plain,
! [SV1067: $i,SV628: $i,SV183: $i] :
( ( ! [SY7061: $i,SY7062: $i] : ( c_SmallStep_Oredp @ SV183 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV628 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1067 @ ( c_Expr_Oexp_Othrow @ SY7061 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7062 @ ( c_Expr_Oexp_Othrow @ SY7061 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7062 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2341]) ).
thf(2787,plain,
! [SV1068: $i,SV629: $i,SV184: $i] :
( ( ! [SY7063: $i,SY7064: $i,SY7065: $i] : ( c_SmallStep_Oredp @ SV184 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV629 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1068 @ SY7063 @ ( c_Expr_Oexp_Othrow @ SY7064 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7065 @ ( c_Expr_Oexp_Othrow @ SY7064 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7065 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2342]) ).
thf(2788,plain,
! [SV1069: $i,SV630: $i,SV185: $i] :
( ( ! [SY7066: $i,SY7067: $i,SY7068: $i,SY7069: $i,SY7070: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SY7066 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7067 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SY7068 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7069 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7070 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY7066 @ SY7067 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7068 @ SY7069 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7070 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2343]) ).
thf(2789,plain,
! [SV1070: $i,SV631: $i,SV186: $i] :
( ( ! [SY7071: $i,SY7072: $i,SY7073: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV186 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV631 @ SV1070 @ ( c_Expr_Oexp_Othrow @ SY7071 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7072 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7071 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7072 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7073 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2344]) ).
thf(2790,plain,
! [SV1071: $i,SV632: $i,SV187: $i] :
( ( ! [SY7074: $i,SY7075: $i,SY7076: $i,SY7077: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SV1071 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7074 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SY7075 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7076 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7077 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1071 @ SY7074 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7075 @ SY7076 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7077 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2345]) ).
thf(2791,plain,
! [SV1072: $i,SV633: $i,SV188: $i] :
( ( ! [SY7078: $i,SY7079: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV188 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV633 @ ( c_Expr_Oexp_Othrow @ SV1072 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7078 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1072 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7078 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7079 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2346]) ).
thf(2792,plain,
! [SV1073: $i,SV634: $i,SV189: $i] :
( ( ! [SY7080: $i,SY7081: $i,SY7082: $i,SY7083: $i] :
( ( c_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SY7080 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Olconf @ SV189 @ SY7081 @ SY7082 @ SY7080 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY3524: $i] :
~ ( c_WellTypeRT_OWTrt @ SV189 @ SY7081 @ SY7080 @ SY7083 @ SY3524 )
| ! [SY7085: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY7083 @ ( c_Pair @ SY7081 @ SY7082 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7085 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2347]) ).
thf(2793,plain,
! [SV1074: $i,SV635: $i,SV190: $i] :
( ( ! [SY7086: $i,SY7087: $i,SY7088: $i,SY7089: $i] :
( ( c_Conform_Ohconf @ SV190 @ SV635 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV190 @ SV1074 @ SY7086 @ SY7087 @ SY7088 )
| ! [SY7090: $i,SY7091: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY7087 @ ( c_Pair @ SV1074 @ SY7089 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7090 @ ( c_Pair @ SV635 @ SY7091 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2348]) ).
thf(2794,plain,
! [SV1075: $i,SV636: $i,SV191: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV191 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV636 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV636 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1075 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2349]) ).
thf(2795,plain,
! [SV1076: $i,SV637: $i,SV192: $i] :
( ( ! [SY7092: $i] : ( c_SmallStep_Oredp @ SV192 @ ( c_Expr_Oexp_OWhile @ SV637 @ SV1076 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7092 @ ( c_Expr_Oexp_OCond @ SV637 @ ( c_Expr_Oexp_OSeq @ SV1076 @ ( c_Expr_Oexp_OWhile @ SV637 @ SV1076 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7092 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2350]) ).
thf(2796,plain,
! [SV1077: $i,SV638: $i,SV193: $i] :
( ( ! [SY7093: $i,SY7094: $i,SY7095: $i] :
( ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OCond @ SV638 @ ( c_Expr_Oexp_OSeq @ SV1077 @ ( c_Expr_Oexp_OWhile @ SV638 @ SV1077 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7093 @ SY7094 @ SY7095 )
| ~ ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OWhile @ SV638 @ SV1077 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7093 @ SY7094 @ SY7095 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2351]) ).
thf(2797,plain,
! [SV1078: $i,SV639: $i,SV194: $i] :
( ( ! [SY7096: $i,SY7097: $i,SY7098: $i] :
( ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OWhile @ SV639 @ SV1078 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7096 @ SY7097 @ SY7098 )
| ~ ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OCond @ SV639 @ ( c_Expr_Oexp_OSeq @ SV1078 @ ( c_Expr_Oexp_OWhile @ SV639 @ SV1078 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7096 @ SY7097 @ SY7098 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2352]) ).
thf(2798,plain,
! [SV1079: $i,SV640: $i,SV195: $i] :
( ( ! [SY7099: $i,SY7100: $i,SY7101: $i,SY7102: $i,SY7103: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV195 @ SV640 @ SV1079 @ SY7099 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7100 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SY7101 @ SV640 @ SV1079 @ SY7099 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7102 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7103 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV195 @ SY7100 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7101 @ SY7102 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7103 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2353]) ).
thf(2799,plain,
! [SV1080: $i,SV641: $i,SV196: $i] :
( ( ! [SY7104: $i,SY7105: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ SV196 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV641 @ SV1080 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7104 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV196 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7104 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7105 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2354]) ).
thf(2800,plain,
! [SV1081: $i,SV642: $i,SV197: $i] :
( ( ! [SY7106: $i,SY7107: $i,SY7108: $i,SY7109: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV197 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7106 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SY7107 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7108 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7109 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV197 @ SY7106 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7107 @ SY7108 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7109 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2355]) ).
thf(2801,plain,
! [SV1082: $i,SV643: $i,SV198: $i] :
( ( ! [SY7110: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ SV198 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV643 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1082 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV198 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1082 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7110 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2356]) ).
thf(2802,plain,
! [SV1083: $i,SV644: $i,SV199: $i] :
( ( ! [SY7111: $i,SY7112: $i,SY7113: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV199 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1083 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SY7111 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7113 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV199 @ SV1083 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7111 @ SY7112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7113 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2357]) ).
thf(2803,plain,
! [SV1084: $i,SV645: $i,SV200: $i] :
( ( ! [SY7114: $i,SY7115: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ SV200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV645 @ SV1084 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7114 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7114 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7115 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2358]) ).
thf(2804,plain,
! [SV1085: $i,SV646: $i,SV201: $i] :
( ( ! [SY7116: $i,SY7117: $i,SY7118: $i,SY7119: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV201 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7116 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SY7117 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7119 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV201 @ SY7116 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7117 @ SY7118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7119 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2359]) ).
thf(2805,plain,
! [SV1086: $i,SV647: $i,SV202: $i] :
( ( ! [SY7120: $i,SY7121: $i,SY7122: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ SV202 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV647 @ SV1086 @ SY7120 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7121 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV202 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7121 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7122 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2360]) ).
thf(2806,plain,
! [SV1087: $i,SV648: $i,SV203: $i] :
( ( ! [SY7123: $i,SY7124: $i,SY7125: $i,SY7126: $i,SY7127: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV203 @ SV648 @ SV1087 @ SY7123 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7124 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SY7125 @ SV648 @ SV1087 @ SY7123 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7126 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7127 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV203 @ SY7124 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7125 @ SY7126 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7127 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2361]) ).
thf(2807,plain,
! [SV1088: $i,SV649: $i,SV204: $i] :
( ( ! [SY7128: $i,SY7129: $i,SY7130: $i,SY7131: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV204 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7128 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SY7129 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7131 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV204 @ SY7128 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7129 @ SY7130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7131 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2362]) ).
thf(2808,plain,
! [SV1089: $i,SV650: $i,SV205: $i] :
( ( ! [SY7132: $i,SY7133: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ SV205 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV650 @ SV1089 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV205 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7133 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2363]) ).
thf(2809,plain,
! [SV1090: $i,SV651: $i,SV206: $i] :
( ( ! [SY7134: $i,SY7135: $i,SY7136: $i,SY7137: $i,SY7138: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ ( c_Map_Omap__add @ SV1090 @ SY7134 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7135 @ ( c_Pair @ SY7136 @ ( c_Map_Omap__add @ SV1090 @ SY7137 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7138 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ SY7134 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7135 @ ( c_Pair @ SY7136 @ SY7137 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7138 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2364]) ).
thf(2810,plain,
! [SV1091: $i,SV652: $i,SV207: $i] :
( ( ! [SY7139: $i,SY7140: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV207 @ SV652 @ ( c_Expr_Oexp_OVal @ SV1091 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7139 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV1091 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7139 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7140 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2365]) ).
thf(2811,plain,
! [SV1092: $i,SV653: $i,SV208: $i] :
( ( ! [SY7141: $i,SY7142: $i] :
( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SY7141 @ c_Type_Oty_ONT )
| ! [SY7143: $i,SY7144: $i] :
( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SY7141 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SY7142 @ SV1092 @ SY7143 @ SV208 @ SY7144 @ SY7141 @ SV653 ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ ( c_Expr_Oexp_OFAcc @ SY7141 @ SY7143 @ SY7142 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7144 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2366]) ).
thf(2812,plain,
! [SV1093: $i,SV654: $i,SV209: $i] :
( ( ! [SY7145: $i,SY7146: $i,SY7147: $i] :
( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SY7145 @ c_Type_Oty_ONT )
| ! [SY7148: $i] :
( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SY7145 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY7146 @ SV1093 @ SY7147 @ SV209 @ SY7145 @ SV654 @ SY7148 ) ) )
| ! [SY7149: $i] :
~ ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ ( c_Expr_Oexp_OFAss @ SY7145 @ SY7147 @ SY7146 @ SY7148 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7149 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2367]) ).
thf(2813,plain,
! [SV1094: $i,SV655: $i,SV210: $i] :
( ( ! [SY7150: $i,SY7151: $i,SY7152: $i,SY7153: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV210 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7150 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SY7151 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7152 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7153 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV210 @ SY7150 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7151 @ SY7152 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7153 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2368]) ).
thf(2814,plain,
! [SV1095: $i,SV656: $i,SV211: $i] :
( ( ! [SY7154: $i,SY7155: $i,SY7156: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SV656 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SY7154 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7155 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7156 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV656 @ SV1095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7154 @ SY7155 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7156 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2369]) ).
thf(2815,plain,
! [SV1096: $i,SV657: $i,SV212: $i] :
( ( ! [SY7157: $i,SY7158: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV212 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV657 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1096 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7157 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7158 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV212 @ SV657 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1096 @ SY7157 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7158 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2370]) ).
thf(2816,plain,
! [SV1097: $i,SV658: $i,SV213: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_Othrow @ SV213 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV658 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV213 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV658 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1097 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2371]) ).
thf(2817,plain,
! [SV1098: $i,SV659: $i,SV214: $i] :
( ( ! [SY7159: $i,SY7160: $i,SY7161: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SV659 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1098 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SY7159 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7160 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7161 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV659 @ SV1098 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7159 @ SY7160 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7161 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2372]) ).
thf(2818,plain,
! [SV1099: $i,SV660: $i,SV215: $i] :
( ( ! [SY7162: $i,SY7163: $i,SY7164: $i,SY7165: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV215 @ SV660 @ SV1099 @ SY7162 ) @ ( c_Pair @ SV215 @ SY7163 @ SV1099 @ SY7162 ) @ ( tc_prod @ SV1099 @ SY7162 ) @ ( tc_prod @ SV1099 @ SY7162 ) ) @ ( c_Recdef_Osame__fst @ SY7164 @ SY7165 @ SV1099 @ SY7162 ) @ ( tc_prod @ ( tc_prod @ SV1099 @ SY7162 ) @ ( tc_prod @ SV1099 @ SY7162 ) ) )
| ~ ( c_in @ ( c_Pair @ SV660 @ SY7163 @ SY7162 @ SY7162 ) @ ( hAPP @ SY7165 @ SV215 ) @ ( tc_prod @ SY7162 @ SY7162 ) )
| ~ ( hBOOL @ ( hAPP @ SY7164 @ SV215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2373]) ).
thf(2819,plain,
! [SV1100: $i,SV661: $i,SV216: $i] :
( ( ! [SY7166: $i,SY7167: $i,SY7168: $i] :
( ( c_in @ ( c_Pair @ SV216 @ SV661 @ SV1100 @ SV1100 ) @ SY7166 @ ( tc_prod @ SV1100 @ SV1100 ) )
| ! [SY7169: $i,SY7170: $i] :
( ( c_in @ ( c_Pair @ SY7167 @ SY7168 @ SY7169 @ SY7169 ) @ SY7170 @ ( tc_prod @ SY7169 @ SY7169 ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY7167 @ SV216 @ SY7169 @ SV1100 ) @ ( c_Pair @ SY7168 @ SV661 @ SY7169 @ SV1100 ) @ ( tc_prod @ SY7169 @ SV1100 ) @ ( tc_prod @ SY7169 @ SV1100 ) ) @ ( c_Wellfounded_Olex__prod @ SY7170 @ SY7166 @ SY7169 @ SV1100 ) @ ( tc_prod @ ( tc_prod @ SY7169 @ SV1100 ) @ ( tc_prod @ SY7169 @ SV1100 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2374]) ).
thf(2820,plain,
! [SV1101: $i,SV662: $i,SV217: $i] :
( ( ! [SY7171: $i,SY7172: $i,SY7173: $i,SY7174: $i] :
( ! [SY7175: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ SV217 @ SV662 @ SV1101 @ SY7171 ) @ ( c_Pair @ SY7172 @ SY7173 @ SV1101 @ SY7171 ) @ ( tc_prod @ SV1101 @ SY7171 ) @ ( tc_prod @ SV1101 @ SY7171 ) ) @ ( c_Wellfounded_Olex__prod @ SY7174 @ SY7175 @ SV1101 @ SY7171 ) @ ( tc_prod @ ( tc_prod @ SV1101 @ SY7171 ) @ ( tc_prod @ SV1101 @ SY7171 ) ) )
| ~ ( c_in @ ( c_Pair @ SV217 @ SY7172 @ SV1101 @ SV1101 ) @ SY7174 @ ( tc_prod @ SV1101 @ SV1101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2375]) ).
thf(2821,plain,
! [SV1102: $i,SV663: $i,SV218: $i] :
( ( ! [SY7176: $i,SY7177: $i,SY7178: $i,SY7179: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV218 @ SV663 @ SV1102 @ SY7176 ) @ ( c_Pair @ SV218 @ SY7177 @ SV1102 @ SY7176 ) @ ( tc_prod @ SV1102 @ SY7176 ) @ ( tc_prod @ SV1102 @ SY7176 ) ) @ ( c_Wellfounded_Olex__prod @ SY7178 @ SY7179 @ SV1102 @ SY7176 ) @ ( tc_prod @ ( tc_prod @ SV1102 @ SY7176 ) @ ( tc_prod @ SV1102 @ SY7176 ) ) )
| ~ ( c_in @ ( c_Pair @ SV663 @ SY7177 @ SY7176 @ SY7176 ) @ SY7179 @ ( tc_prod @ SY7176 @ SY7176 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2376]) ).
thf(2822,plain,
! [SV1103: $i,SV664: $i,SV219: $i] :
( ( ! [SY7180: $i,SY7181: $i,SY7182: $i] :
( ( SV219 = SV664 )
| ( c_in @ ( c_Pair @ SV219 @ SV664 @ SV1103 @ SV1103 ) @ SY7180 @ ( tc_prod @ SV1103 @ SV1103 ) )
| ! [SY7183: $i,SY7184: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV219 @ SY7181 @ SV1103 @ SY7182 ) @ ( c_Pair @ SV664 @ SY7183 @ SV1103 @ SY7182 ) @ ( tc_prod @ SV1103 @ SY7182 ) @ ( tc_prod @ SV1103 @ SY7182 ) ) @ ( c_Wellfounded_Olex__prod @ SY7180 @ SY7184 @ SV1103 @ SY7182 ) @ ( tc_prod @ ( tc_prod @ SV1103 @ SY7182 ) @ ( tc_prod @ SV1103 @ SY7182 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2377]) ).
thf(2823,plain,
! [SV1104: $i,SV665: $i,SV220: $i] :
( ( ! [SY7185: $i,SY7186: $i,SY7187: $i,SY7188: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ ( c_List_Olist_OCons @ SY7185 @ SY7186 @ SV665 ) @ ( c_List_Olist_OCons @ SY7187 @ SY7188 @ SV1104 ) @ SV665 @ SV1104 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ SY7186 @ SY7188 @ SV665 @ SV1104 )
| ~ ( c_in @ ( c_Pair @ SY7185 @ SY7187 @ SV665 @ SV1104 ) @ SV220 @ ( tc_prod @ SV665 @ SV1104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2378]) ).
thf(2824,plain,
! [SV1105: $i,SV666: $i,SV221: $i] :
( ( ! [SY7189: $i,SY7190: $i,SY7191: $i,SY7192: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ ( c_List_Olist_OCons @ SY7189 @ SY7190 @ SV666 ) @ ( c_List_Olist_OCons @ SY7191 @ SY7192 @ SV1105 ) @ SV666 @ SV1105 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ SY7190 @ SY7192 @ SV666 @ SV1105 )
| ~ ( c_in @ ( c_Pair @ SY7189 @ SY7191 @ SV666 @ SV1105 ) @ SV221 @ ( tc_prod @ SV666 @ SV1105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2379]) ).
thf(2825,plain,
! [SV1106: $i,SV667: $i,SV222: $i] :
( ( ! [SY7193: $i,SY7194: $i,SY7195: $i,SY7196: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ ( c_List_Olist_OCons @ SY7193 @ SY7194 @ SV667 ) @ ( c_List_Olist_OCons @ SY7195 @ SY7196 @ SV1106 ) @ SV667 @ SV1106 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ SY7194 @ SY7196 @ SV667 @ SV1106 )
| ~ ( c_in @ ( c_Pair @ SY7193 @ SY7195 @ SV667 @ SV1106 ) @ SV222 @ ( tc_prod @ SV667 @ SV1106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2380]) ).
thf(2826,plain,
! [SV1107: $i,SV668: $i,SV223: $i] :
( ( ! [SY7197: $i,SY7198: $i] :
( ( c_in @ ( c_Pair @ SV223 @ SV668 @ SV1107 @ SY7197 ) @ SY7198 @ ( tc_prod @ SV1107 @ SY7197 ) )
| ! [SY7199: $i,SY7200: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SY7198 @ SV1107 @ SY7197 ) @ ( c_List_Olist_OCons @ SV223 @ SY7199 @ SV1107 ) @ ( c_List_Olist_OCons @ SV668 @ SY7200 @ SY7197 ) @ SV1107 @ SY7197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2381]) ).
thf(2827,plain,
! [SV1108: $i,SV669: $i,SV224: $i] :
( ( ! [SY7201: $i,SY7202: $i,SY7203: $i,SY7204: $i,SY7205: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SV1108 @ SY7201 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7202 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7203 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7205 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3716: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY7201 @ SY3716 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7203 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7205 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3717: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SY7202 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3717 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY3716 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7205 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2382]) ).
thf(2828,plain,
! [SV1109: $i,SV670: $i,SV225: $i] :
( ( ! [SY7208: $i,SY7209: $i,SY7210: $i,SY7211: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SV670 @ SV1109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7208 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7209 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7210 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7211 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY7212: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1109 @ SY7212 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7209 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7210 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7211 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3725: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SY7208 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3725 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7212 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7211 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2383]) ).
thf(2829,plain,
! [SV1110: $i,SV671: $i,SV226: $i] :
( ( ! [SY7214: $i,SY7215: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV226 @ SV671 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1110 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7214 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7215 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV671 @ SV1110 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7214 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7215 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2384]) ).
thf(2830,plain,
! [SV1111: $i,SV672: $i,SV227: $i] :
( ( ! [SY7216: $i,SY7217: $i,SY7218: $i,SY7219: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV227 @ SV672 @ SV1111 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7216 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7217 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7218 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7219 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV227 @ SY7216 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7217 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7218 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7219 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2385]) ).
thf(2831,plain,
! [SV1112: $i,SV673: $i,SV228: $i] :
( ( ! [SY7220: $i,SY7221: $i,SY7222: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV228 @ SV673 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7220 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7221 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7222 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV228 @ SV1112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7220 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7221 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7222 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2386]) ).
thf(2832,plain,
! [SV1113: $i,SV674: $i,SV229: $i] :
( ( ! [SY7223: $i,SY7224: $i,SY7225: $i,SY7226: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV229 @ SV674 @ SV1113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7223 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7224 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7225 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7226 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV229 @ SY7223 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7224 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7225 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7226 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2387]) ).
thf(2833,plain,
! [SV1114: $i,SV675: $i,SV230: $i] :
( ( ! [SY7227: $i,SY7228: $i,SY7229: $i,SY7230: $i,SY7231: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV230 @ SV675 @ SV1114 @ SY7227 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7228 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7229 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7230 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7231 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV230 @ SY7228 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7229 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7230 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7231 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2388]) ).
thf(2834,plain,
! [SV1115: $i,SV676: $i,SV231: $i] :
( ( ! [SY7232: $i,SY7233: $i,SY7234: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV231 @ SV676 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7232 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7233 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7234 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV231 @ SV1115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7232 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7233 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7234 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2389]) ).
thf(2835,plain,
! [SV1116: $i,SV677: $i,SV232: $i] :
( ( ! [SY7235: $i,SY7236: $i,SY7237: $i,SY7238: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV232 @ SV677 @ SV1116 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7235 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7236 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7237 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7238 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV232 @ SY7235 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7236 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7237 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7238 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2390]) ).
thf(2836,plain,
! [SV1117: $i,SV678: $i,SV233: $i] :
( ( ! [SY7239: $i,SY7240: $i,SY7241: $i,SY7242: $i,SY7243: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ ( c_Map_Omap__add @ SV1117 @ SY7239 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7240 @ ( c_Pair @ SY7241 @ ( c_Map_Omap__add @ SV1117 @ SY7242 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7243 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ SY7239 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7240 @ ( c_Pair @ SY7241 @ SY7242 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7243 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2391]) ).
thf(2837,plain,
! [SV1118: $i,SV679: $i,SV234: $i] :
( ( ! [SY7244: $i,SY7245: $i,SY7246: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SV679 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SY7244 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7245 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7246 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV679 @ SV1118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7244 @ SY7245 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7246 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2392]) ).
thf(2838,plain,
! [SV1119: $i,SV680: $i,SV235: $i] :
( ( ! [SY7247: $i,SY7248: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV235 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1119 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7247 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7248 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV235 @ SV680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1119 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7247 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7248 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2393]) ).
thf(2839,plain,
! [SV1120: $i,SV681: $i,SV236: $i] :
( ( ! [SY7249: $i,SY7250: $i,SY7251: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SV681 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SY7249 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7250 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7251 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV681 @ SV1120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7249 @ SY7250 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7251 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2394]) ).
thf(2840,plain,
! [SV1121: $i,SV682: $i,SV237: $i] :
( ( ! [SY7252: $i,SY7253: $i,SY7254: $i,SY7255: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV237 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7252 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SY7253 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7254 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7255 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV237 @ SY7252 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7253 @ SY7254 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7255 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2395]) ).
thf(2841,plain,
! [SV1122: $i,SV683: $i,SV238: $i] :
( ( ( c_in @ SV238 @ ( c_Transitive__Closure_Ortrancl @ SV683 @ SV1122 ) @ ( tc_prod @ SV1122 @ SV1122 ) )
| ~ ( c_in @ SV238 @ SV683 @ ( tc_prod @ SV1122 @ SV1122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2396]) ).
thf(2842,plain,
! [SV1123: $i,SV684: $i,SV239: $i] :
( ( c_in @ ( c_Pair @ SV239 @ SV239 @ SV684 @ SV684 ) @ ( c_Transitive__Closure_Ortrancl @ SV1123 @ SV684 ) @ ( tc_prod @ SV684 @ SV684 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2397]) ).
thf(2843,plain,
! [SV1124: $i,SV685: $i,SV240: $i] :
( ( c_in @ ( c_Pair @ SV240 @ SV240 @ SV685 @ SV685 ) @ ( c_Transitive__Closure_Ortrancl @ SV1124 @ SV685 ) @ ( tc_prod @ SV685 @ SV685 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2398]) ).
thf(2844,plain,
! [SV1125: $i,SV686: $i,SV241: $i] :
( ( ! [SY7256: $i] :
( ( c_in @ ( c_Pair @ SV241 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SY7256 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
| ! [SY7257: $i] :
( ~ ( c_in @ ( c_Pair @ SY7257 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SY7256 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
| ~ ( c_in @ ( c_Pair @ SV241 @ SY7257 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SY7256 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2399]) ).
thf(2845,plain,
! [SV1126: $i,SV687: $i,SV242: $i] :
( ( ! [SY7258: $i] :
( ( c_in @ ( c_Pair @ SV242 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SY7258 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
| ! [SY7259: $i] :
( ~ ( c_in @ ( c_Pair @ SY7259 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SY7258 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
| ~ ( c_in @ ( c_Pair @ SV242 @ SY7259 @ SV1126 @ SV1126 ) @ SY7258 @ ( tc_prod @ SV1126 @ SV1126 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2400]) ).
thf(2846,plain,
! [SV1127: $i,SV688: $i,SV243: $i] :
( ( ! [SY7260: $i] :
( ( c_in @ ( c_Pair @ SV243 @ SV688 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SY7260 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) )
| ! [SY7261: $i] :
( ~ ( c_in @ ( c_Pair @ SY7261 @ SV688 @ SV1127 @ SV1127 ) @ SY7260 @ ( tc_prod @ SV1127 @ SV1127 ) )
| ~ ( c_in @ ( c_Pair @ SV243 @ SY7261 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SY7260 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2401]) ).
thf(2847,plain,
! [SV1128: $i,SV689: $i,SV244: $i] :
( ( ! [SY7262: $i,SY7263: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV244 @ SV689 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1128 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7262 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7263 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV244 @ SV1128 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7262 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7263 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2402]) ).
thf(2848,plain,
! [SV1129: $i,SV690: $i,SV245: $i] :
( ( ! [SY7264: $i,SY7265: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV245 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1129 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7264 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7265 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV245 @ SV690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1129 @ SY7264 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7265 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2403]) ).
thf(2849,plain,
! [SV1130: $i,SV692: $i,SV247: $i] :
( ( ! [SY7266: $i,SY7267: $i,SY7268: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV247 @ SV692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7266 @ SY7267 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7268 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY7269: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV692 @ SY7269 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7266 @ SY7267 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7268 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY7270: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV247 @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY7270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7269 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7268 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2405]) ).
thf(2850,plain,
! [SV1131: $i,SV693: $i,SV248: $i] :
( ( ! [SY7271: $i,SY7272: $i,SY7273: $i,SY7274: $i,SY7275: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV248 @ SV693 @ SV1131 @ SY7271 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7272 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY7273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7274 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7275 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV248 @ SY7272 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY7273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7274 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7275 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2406]) ).
thf(2851,plain,
! [SV1132: $i,SV694: $i,SV249: $i] :
( ( ! [SY7276: $i,SY7277: $i] :
( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1132 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SY7276 )
| ! [SY5776: $i] :
~ ( c_WellTypeRT_OWTrt @ SV249 @ ( c_State_Ohp @ SY7276 ) @ SV694 @ SY7277 @ SY5776 )
| ! [SY7279: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY7277 @ SY7276 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7279 @ SV1132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2407]) ).
thf(2852,plain,
! [SV1133: $i,SV695: $i,SV250: $i] :
( ( ! [SY7280: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV250 @ SV695 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1133 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV250 @ ( c_Expr_Oexp_OSeq @ SV695 @ ( c_Expr_Oexp_OWhile @ SV250 @ SV695 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1133 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7280 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2408]) ).
thf(2853,plain,
! [SV1134: $i,SV696: $i,SV251: $i] :
( ( ! [SY7281: $i,SY7282: $i,SY7283: $i] :
( ( c_Expr_Oexp_OSeq @ SV251 @ SV696 @ SV1134 )
!= ( c_Expr_Oexp_OFAcc @ SY7281 @ SY7282 @ SY7283 @ SV1134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2409]) ).
thf(2854,plain,
! [SV1135: $i,SV697: $i,SV252: $i] :
( ( ! [SY7284: $i,SY7285: $i,SY7286: $i,SY7287: $i] :
( ( c_Expr_Oexp_OFAcc @ SV252 @ SV697 @ SV1135 @ SY7284 )
!= ( c_Expr_Oexp_OBinOp @ SY7285 @ SY7286 @ SY7287 @ SY7284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2410]) ).
thf(2855,plain,
! [SV1136: $i,SV698: $i,SV253: $i] :
( ( ! [SY7288: $i,SY7289: $i,SY7290: $i] :
( ( c_Expr_Oexp_OWhile @ SV253 @ SV698 @ SV1136 )
!= ( c_Expr_Oexp_OFAcc @ SY7288 @ SY7289 @ SY7290 @ SV1136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2411]) ).
thf(2856,plain,
! [SV1137: $i,SV699: $i,SV254: $i] :
( ( ! [SY7291: $i,SY7292: $i] :
( ! [SY7293: $i,SY7294: $i] :
( ( c_Expr_Oexp_OBinOp @ SV254 @ SV699 @ SV1137 @ SY7291 )
!= ( c_Expr_Oexp_OBinOp @ SY7292 @ SY7293 @ SY7294 @ SY7291 ) )
| ( SV254 = SY7292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2412]) ).
thf(2857,plain,
! [SV1138: $i,SV700: $i,SV255: $i] :
( ( ! [SY7295: $i,SY7296: $i,SY7297: $i] :
( ! [SY7298: $i] :
( ( c_Expr_Oexp_OBinOp @ SV255 @ SV700 @ SV1138 @ SY7295 )
!= ( c_Expr_Oexp_OBinOp @ SY7296 @ SY7297 @ SY7298 @ SY7295 ) )
| ( SV700 = SY7297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2413]) ).
thf(2858,plain,
! [SV1139: $i,SV701: $i,SV256: $i] :
( ( ! [SY7299: $i,SY7300: $i,SY7301: $i,SY7302: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV256 @ SV701 @ SV1139 @ SY7299 )
!= ( c_Expr_Oexp_OBinOp @ SY7300 @ SY7301 @ SY7302 @ SY7299 ) )
| ( SV1139 = SY7302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2414]) ).
thf(2859,plain,
! [SV1140: $i,SV702: $i,SV257: $i] :
( ( ! [SY7303: $i,SY7304: $i,SY7305: $i] :
( ( c_Expr_Oexp_OVal @ SV257 @ SV702 )
!= ( c_Expr_Oexp_OFAss @ SV1140 @ SY7303 @ SY7304 @ SY7305 @ SV702 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2415]) ).
thf(2860,plain,
! [SV1141: $i,SV703: $i,SV258: $i] :
( ( ! [SY7306: $i,SY7307: $i,SY7308: $i,SY7309: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV258 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7306 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SY7307 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7308 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7309 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV258 @ SY7306 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7307 @ SY7308 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7309 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2416]) ).
thf(2861,plain,
! [SV1142: $i,SV704: $i,SV259: $i] :
( ( ! [SY7310: $i,SY7311: $i,SY7312: $i,SY7313: $i,SY7314: $i] :
( ( c_SmallStep_Oredp @ SV259 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SY7310 @ SY7311 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7312 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SY7310 @ SY7313 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7314 )
| ~ ( c_SmallStep_Oredp @ SV259 @ SY7311 @ SY7312 @ SY7313 @ SY7314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2417]) ).
thf(2862,plain,
! [SV1143: $i,SV705: $i,SV260: $i] :
( ( ! [SY7315: $i,SY7316: $i] :
( ( c_Expr_Oexp_OVal @ SV260 @ SV705 )
!= ( c_Expr_Oexp_OFAcc @ SV1143 @ SY7315 @ SY7316 @ SV705 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2418]) ).
thf(2863,plain,
! [SV1144: $i,SV706: $i,SV261: $i] :
( ( ! [SY7317: $i,SY7318: $i] :
( ( ( c_List_Olist_OCons @ SV261 @ SV706 @ SV1144 )
!= ( c_List_Olist_OCons @ SY7317 @ SY7318 @ SV1144 ) )
| ( SV706 = SY7318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2419]) ).
thf(2864,plain,
! [SV1145: $i,SV707: $i,SV262: $i] :
( ( ! [SY7319: $i] :
( ! [SY7320: $i] :
( ( c_List_Olist_OCons @ SV262 @ SV707 @ SV1145 )
!= ( c_List_Olist_OCons @ SY7319 @ SY7320 @ SV1145 ) )
| ( SV262 = SY7319 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2420]) ).
thf(2865,plain,
! [SV1146: $i,SV708: $i,SV263: $i] :
( ( ! [SY7321: $i,SY7322: $i] :
( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ ( c_Expr_Oexp_OBinOp @ SY7321 @ c_Expr_Obop_OEq @ SY7322 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY7323: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SY7322 @ SY7323 )
| ! [SY7324: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SY7321 @ SY7324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2421]) ).
thf(2866,plain,
! [SV1147: $i,SV709: $i,SV264: $i] :
( ( ! [SY7325: $i,SY7326: $i,SY7327: $i,SY7328: $i] :
( ( c_Expr_Oexp_OBinOp @ SV264 @ SV709 @ SV1147 @ SY7325 )
!= ( c_Expr_Oexp_OCond @ SY7326 @ SY7327 @ SY7328 @ SY7325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2422]) ).
thf(2867,plain,
! [SV1148: $i,SV710: $i,SV265: $i] :
( ( ! [SY7329: $i,SY7330: $i,SY7331: $i,SY7332: $i] :
( ( c_Expr_Oexp_OFAss @ SV265 @ SV710 @ SV1148 @ SY7329 @ SY7330 )
!= ( c_Expr_Oexp_OWhile @ SY7331 @ SY7332 @ SY7330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2423]) ).
thf(2868,plain,
! [SV1149: $i,SV711: $i,SV267: $i] :
( ( ! [SY7333: $i,SY7334: $i,SY7335: $i,SY7336: $i,SY7337: $i] :
( ( c_Expr_Oexp_OFAcc @ SV267 @ SV711 @ SV1149 @ SY7333 )
!= ( c_Expr_Oexp_OFAss @ SY7334 @ SY7335 @ SY7336 @ SY7337 @ SY7333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2425]) ).
thf(2869,plain,
! [SV1150: $i,SV712: $i,SV269: $i] :
( ( ! [SY7338: $i,SY7339: $i] :
( ( c_Expr_Oexp_OVal @ SV269 @ SV712 )
!= ( c_Expr_Oexp_OBinOp @ SV1150 @ SY7338 @ SY7339 @ SV712 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2427]) ).
thf(2870,plain,
! [SV1151: $i,SV713: $i,SV270: $i] :
( ( ! [SY7340: $i] :
( ( c_Expr_Oexp_OWhile @ SV270 @ SV713 @ SV1151 )
!= ( c_Expr_Oexp_OVal @ SY7340 @ SV1151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2428]) ).
thf(2871,plain,
! [SV1152: $i,SV714: $i,SV271: $i] :
( ( ! [SY7341: $i,SY7342: $i,SY7343: $i] :
( ( c_Expr_Oexp_OFAcc @ SV271 @ SV714 @ SV1152 @ SY7341 )
!= ( c_Expr_Oexp_OWhile @ SY7342 @ SY7343 @ SY7341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2429]) ).
thf(2872,plain,
! [SV1153: $i,SV715: $i,SV272: $i] :
( ( ! [SY7344: $i,SY7345: $i,SY7346: $i,SY7347: $i,SY7348: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV272 @ SV715 @ SV1153 @ SY7344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7345 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SY7346 @ SV715 @ SV1153 @ SY7344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7347 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7348 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV272 @ SY7345 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7346 @ SY7347 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7348 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2430]) ).
thf(2873,plain,
! [SV1154: $i,SV716: $i,SV273: $i] :
( ( ! [SY7349: $i,SY7350: $i,SY7351: $i,SY7352: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SV1154 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7349 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SY7350 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7351 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7352 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1154 @ SY7349 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7350 @ SY7351 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7352 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2431]) ).
thf(2874,plain,
! [SV1155: $i,SV717: $i,SV274: $i] :
( ( ! [SY7353: $i,SY7354: $i,SY7355: $i,SY7356: $i] :
( ( c_Expr_Oexp_OWhile @ SV274 @ SV717 @ SV1155 )
!= ( c_Expr_Oexp_OTryCatch @ SY7353 @ SY7354 @ SY7355 @ SY7356 @ SV1155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2432]) ).
thf(2875,plain,
! [SV1156: $i,SV718: $i,SV275: $i] :
( ( ! [SY7357: $i,SY7358: $i,SY7359: $i,SY7360: $i] :
( ( c_SmallStep_Oredp @ SV275 @ ( c_Expr_Oexp_OBinOp @ SV718 @ SV1156 @ SY7357 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7358 @ ( c_Expr_Oexp_OBinOp @ SY7359 @ SV1156 @ SY7357 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7360 )
| ~ ( c_SmallStep_Oredp @ SV275 @ SV718 @ SY7358 @ SY7359 @ SY7360 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2433]) ).
thf(2876,plain,
! [SV1157: $i,SV719: $i,SV276: $i] :
( ( ! [SY7361: $i,SY7362: $i,SY7363: $i] :
( ( c_Expr_Oexp_OSeq @ SV276 @ SV719 @ SV1157 )
!= ( c_Expr_Oexp_OBinOp @ SY7361 @ SY7362 @ SY7363 @ SV1157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2434]) ).
thf(2877,plain,
! [SV1158: $i,SV720: $i,SV277: $i] :
( ( ! [SY7364: $i,SY7365: $i,SY7366: $i,SY7367: $i,SY7368: $i] :
( ( c_Expr_Oexp_OFAss @ SV277 @ SV720 @ SV1158 @ SY7364 @ SY7365 )
!= ( c_Expr_Oexp_OFAcc @ SY7366 @ SY7367 @ SY7368 @ SY7365 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2435]) ).
thf(2878,plain,
! [SV1159: $i,SV721: $i,SV278: $i] :
( ( ! [SY7369: $i,SY7370: $i,SY7371: $i] :
( ( c_Expr_Oexp_OBinOp @ SV278 @ SV721 @ SV1159 @ SY7369 )
!= ( c_Expr_Oexp_OSeq @ SY7370 @ SY7371 @ SY7369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2436]) ).
thf(2879,plain,
! [SV1160: $i,SV722: $i,SV279: $i] :
( ( c_BigStep_Oeval @ SV279 @ ( c_Expr_Oexp_OVal @ SV722 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1160 @ ( c_Expr_Oexp_OVal @ SV722 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1160 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2437]) ).
thf(2880,plain,
! [SV1161: $i,SV723: $i,SV280: $i] :
( ( ! [SY7372: $i,SY7373: $i,SY7374: $i,SY7375: $i,SY7376: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV280 @ SV723 @ SV1161 @ SY7372 @ SY7373 )
!= ( c_Expr_Oexp_OBinOp @ SY7374 @ SY7375 @ SY7376 @ SY7373 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2438]) ).
thf(2881,plain,
! [SV1162: $i,SV724: $i,SV281: $i] :
( ( ( SV281
= ( c_Expr_Oexp_OVal @ SV724 @ ( tc_List_Olist @ tc_String_Ochar ) ) )
| ! [SY7377: $i,SY7378: $i] :
~ ( c_BigStep_Oeval @ SV1162 @ ( c_Expr_Oexp_OVal @ SV724 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7377 @ SV281 @ SY7378 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2439]) ).
thf(2882,plain,
! [SV1163: $i,SV725: $i,SV282: $i] :
( ( ! [SY7379: $i,SY7380: $i,SY7381: $i,SY7382: $i] :
( ( c_Expr_Oexp_OFAss @ SV282 @ SV725 @ SV1163 @ SY7379 @ SY7380 )
!= ( c_Expr_Oexp_OSeq @ SY7381 @ SY7382 @ SY7380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2440]) ).
thf(2883,plain,
! [SV1164: $i,SV726: $i,SV283: $i] :
( ( ! [SY7383: $i] :
( ( c_Expr_Oexp_OVal @ SV283 @ SV726 )
!= ( c_Expr_Oexp_OWhile @ SV1164 @ SY7383 @ SV726 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2441]) ).
thf(2884,plain,
! [SV1165: $i,SV727: $i,SV284: $i] :
( ( ! [SY7384: $i,SY7385: $i,SY7386: $i,SY7387: $i,SY7388: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV284 @ SV727 @ SV1165 @ SY7384 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7385 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SY7386 @ SV727 @ SV1165 @ SY7384 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7387 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7388 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV284 @ SY7385 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7386 @ SY7387 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7388 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2442]) ).
thf(2885,plain,
! [SV1166: $i,SV728: $i,SV285: $i] :
( ( ! [SY7389: $i,SY7390: $i,SY7391: $i,SY7392: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV285 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7389 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SY7390 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7392 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV285 @ SY7389 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7390 @ SY7391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7392 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2443]) ).
thf(2886,plain,
! [SV1167: $i,SV729: $i,SV286: $i] :
( ( ! [SY7393: $i,SY7394: $i,SY7395: $i,SY7396: $i,SY7397: $i] :
( ( c_Expr_Oexp_OFAcc @ SV286 @ SV729 @ SV1167 @ SY7393 )
!= ( c_Expr_Oexp_OTryCatch @ SY7394 @ SY7395 @ SY7396 @ SY7397 @ SY7393 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2444]) ).
thf(2887,plain,
! [SV1168: $i,SV730: $i,SV287: $i] :
( ( ! [SY7398: $i,SY7399: $i,SY7400: $i] :
( ( c_SmallStep_Oredp @ SV287 @ ( c_Expr_Oexp_OSeq @ SV730 @ SV1168 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7398 @ ( c_Expr_Oexp_OSeq @ SY7399 @ SV1168 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7400 )
| ~ ( c_SmallStep_Oredp @ SV287 @ SV730 @ SY7398 @ SY7399 @ SY7400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2445]) ).
thf(2888,plain,
! [SV1169: $i,SV731: $i,SV288: $i] :
( ( ! [SY7401: $i,SY7402: $i,SY7403: $i,SY7404: $i] :
( ! [SY7405: $i,SY7406: $i] :
( ( c_Expr_Oexp_OFAss @ SV288 @ SV731 @ SV1169 @ SY7401 @ SY7402 )
!= ( c_Expr_Oexp_OFAss @ SY7403 @ SY7404 @ SY7405 @ SY7406 @ SY7402 ) )
| ( SV288 = SY7403 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2446]) ).
thf(2889,plain,
! [SV1170: $i,SV732: $i,SV289: $i] :
( ( ! [SY7407: $i,SY7408: $i,SY7409: $i,SY7410: $i] :
( ! [SY7411: $i,SY7412: $i] :
( ( c_Expr_Oexp_OFAss @ SV289 @ SV732 @ SV1170 @ SY7407 @ SY7408 )
!= ( c_Expr_Oexp_OFAss @ SY7409 @ SY7410 @ SY7411 @ SY7412 @ SY7408 ) )
| ( SV732 = SY7410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2447]) ).
thf(2890,plain,
! [SV1171: $i,SV733: $i,SV290: $i] :
( ( ! [SY7413: $i,SY7414: $i,SY7415: $i,SY7416: $i,SY7417: $i] :
( ! [SY7418: $i] :
( ( c_Expr_Oexp_OFAss @ SV290 @ SV733 @ SV1171 @ SY7413 @ SY7414 )
!= ( c_Expr_Oexp_OFAss @ SY7415 @ SY7416 @ SY7417 @ SY7418 @ SY7414 ) )
| ( SV1171 = SY7417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2448]) ).
thf(2891,plain,
! [SV1172: $i,SV734: $i,SV291: $i] :
( ( ! [SY7419: $i,SY7420: $i,SY7421: $i,SY7422: $i,SY7423: $i,SY7424: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV291 @ SV734 @ SV1172 @ SY7419 @ SY7420 )
!= ( c_Expr_Oexp_OFAss @ SY7421 @ SY7422 @ SY7423 @ SY7424 @ SY7420 ) )
| ( SY7419 = SY7424 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2449]) ).
thf(2892,plain,
! [SV1173: $i,SV735: $i,SV292: $i] :
( ( ! [SY7425: $i,SY7426: $i] :
( ! [SY7427: $i,SY7428: $i] :
( ( c_Expr_Oexp_OFAcc @ SV292 @ SV735 @ SV1173 @ SY7425 )
!= ( c_Expr_Oexp_OFAcc @ SY7426 @ SY7427 @ SY7428 @ SY7425 ) )
| ( SV292 = SY7426 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2450]) ).
thf(2893,plain,
! [SV1174: $i,SV736: $i,SV293: $i] :
( ( ! [SY7429: $i,SY7430: $i,SY7431: $i] :
( ! [SY7432: $i] :
( ( c_Expr_Oexp_OFAcc @ SV293 @ SV736 @ SV1174 @ SY7429 )
!= ( c_Expr_Oexp_OFAcc @ SY7430 @ SY7431 @ SY7432 @ SY7429 ) )
| ( SV736 = SY7431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2451]) ).
thf(2894,plain,
! [SV1175: $i,SV737: $i,SV294: $i] :
( ( ! [SY7433: $i,SY7434: $i,SY7435: $i,SY7436: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV294 @ SV737 @ SV1175 @ SY7433 )
!= ( c_Expr_Oexp_OFAcc @ SY7434 @ SY7435 @ SY7436 @ SY7433 ) )
| ( SV1175 = SY7436 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2452]) ).
thf(2895,plain,
! [SV1176: $i,SV738: $i,SV295: $i] :
( ( ! [SY7437: $i,SY7438: $i,SY7439: $i,SY7440: $i] :
( ( c_List_Olist__all2 @ SV295 @ ( c_List_Olist_OCons @ SV738 @ SV1176 @ SY7437 ) @ ( c_List_Olist_OCons @ SY7438 @ SY7439 @ SY7440 ) @ SY7437 @ SY7440 )
| ~ ( c_List_Olist__all2 @ SV295 @ SV1176 @ SY7439 @ SY7437 @ SY7440 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV295 @ SV738 ) @ SY7438 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2453]) ).
thf(2896,plain,
! [SV1177: $i,SV739: $i,SV296: $i] :
( ( ! [SY7441: $i,SY7442: $i,SY7443: $i,SY7444: $i] :
( ( c_List_Olist__all2 @ SV296 @ ( c_List_Olist_OCons @ SV739 @ SV1177 @ SY7441 ) @ ( c_List_Olist_OCons @ SY7442 @ SY7443 @ SY7444 ) @ SY7441 @ SY7444 )
| ~ ( c_List_Olist__all2 @ SV296 @ SV1177 @ SY7443 @ SY7441 @ SY7444 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV296 @ SV739 ) @ SY7442 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2454]) ).
thf(2897,plain,
! [SV1178: $i,SV740: $i,SV297: $i] :
( ( ! [SY7445: $i,SY7446: $i,SY7447: $i,SY7448: $i] :
( ( c_List_Olist__all2 @ SV297 @ ( c_List_Olist_OCons @ SV740 @ SV1178 @ SY7445 ) @ ( c_List_Olist_OCons @ SY7446 @ SY7447 @ SY7448 ) @ SY7445 @ SY7448 )
| ~ ( c_List_Olist__all2 @ SV297 @ SV1178 @ SY7447 @ SY7445 @ SY7448 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV297 @ SV740 ) @ SY7446 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2455]) ).
thf(2898,plain,
! [SV1179: $i,SV741: $i,SV298: $i] :
( ( ! [SY7449: $i,SY7450: $i,SY7451: $i] :
( ( c_Expr_Oexp_OFAcc @ SV298 @ SV741 @ SV1179 @ SY7449 )
!= ( c_Expr_Oexp_OSeq @ SY7450 @ SY7451 @ SY7449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2456]) ).
thf(2899,plain,
! [SV1180: $i,SV742: $i,SV299: $i] :
( ( ! [SY7452: $i,SY7453: $i,SY7454: $i] :
( ( c_Expr_Oexp_OWhile @ SV299 @ SV742 @ SV1180 )
!= ( c_Expr_Oexp_OBinOp @ SY7452 @ SY7453 @ SY7454 @ SV1180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2457]) ).
thf(2900,plain,
! [SV743: $i,SV300: $i] :
( ( ( ( c_Type_Oty_OClass @ SV300 )
!= ( c_Type_Oty_OClass @ SV743 ) )
= $true )
| ( ( SV300 = SV743 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2458]) ).
thf(2901,plain,
! [SV1181: $i,SV744: $i,SV301: $i] :
( ( ! [SY7455: $i,SY7456: $i,SY7457: $i,SY7458: $i,SY7459: $i] :
( ( c_Expr_Oexp_OBinOp @ SV301 @ SV744 @ SV1181 @ SY7455 )
!= ( c_Expr_Oexp_OFAss @ SY7456 @ SY7457 @ SY7458 @ SY7459 @ SY7455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2459]) ).
thf(2902,plain,
! [SV1182: $i,SV745: $i,SV302: $i] :
( ( ! [SY7460: $i,SY7461: $i,SY7462: $i] :
( ( c_Expr_Oexp_OBinOp @ SV302 @ SV745 @ SV1182 @ SY7460 )
!= ( c_Expr_Oexp_OWhile @ SY7461 @ SY7462 @ SY7460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2460]) ).
thf(2903,plain,
! [SV1183: $i,SV746: $i,SV303: $i] :
( ( ! [SY7463: $i,SY7464: $i] :
( ( c_Expr_Oexp_OSeq @ SV303 @ SV746 @ SV1183 )
!= ( c_Expr_Oexp_OWhile @ SY7463 @ SY7464 @ SV1183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2461]) ).
thf(2904,plain,
! [SV1184: $i,SV747: $i,SV304: $i] :
( ( ! [SY7465: $i,SY7466: $i,SY7467: $i,SY7468: $i,SY7469: $i,SY7470: $i] :
( ( c_Expr_Oexp_OFAss @ SV304 @ SV747 @ SV1184 @ SY7465 @ SY7466 )
!= ( c_Expr_Oexp_OTryCatch @ SY7467 @ SY7468 @ SY7469 @ SY7470 @ SY7466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2462]) ).
thf(2905,plain,
! [SV1185: $i,SV748: $i,SV305: $i] :
( ( ! [SY7471: $i,SY7472: $i,SY7473: $i,SY7474: $i] :
( ( c_Expr_Oexp_OCond @ SV305 @ SV748 @ SV1185 @ SY7471 )
!= ( c_Expr_Oexp_OBinOp @ SY7472 @ SY7473 @ SY7474 @ SY7471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2463]) ).
thf(2906,plain,
! [SV1186: $i,SV749: $i,SV306: $i] :
( ( ! [SY7475: $i,SY7476: $i,SY7477: $i,SY7478: $i,SY7479: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SY7475 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7476 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SY7477 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7478 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7479 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY7475 @ SY7476 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7477 @ SY7478 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7479 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2464]) ).
thf(2907,plain,
! [SV1187: $i,SV750: $i,SV307: $i] :
( ( ! [SY7480: $i,SY7481: $i,SY7482: $i,SY7483: $i] :
( ( c_SmallStep_Oredp @ SV307 @ ( c_Expr_Oexp_OCond @ SV750 @ SV1187 @ SY7480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7481 @ ( c_Expr_Oexp_OCond @ SY7482 @ SV1187 @ SY7480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7483 )
| ~ ( c_SmallStep_Oredp @ SV307 @ SV750 @ SY7481 @ SY7482 @ SY7483 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2465]) ).
thf(2908,plain,
! [SV1188: $i,SV751: $i,SV308: $i] :
( ( ! [SY7484: $i,SY7485: $i,SY7486: $i,SY7487: $i] :
( ( c_Expr_Oexp_OBinOp @ SV308 @ SV751 @ SV1188 @ SY7484 )
!= ( c_Expr_Oexp_OFAcc @ SY7485 @ SY7486 @ SY7487 @ SY7484 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2466]) ).
thf(2909,plain,
! [SV1189: $i,SV752: $i,SV309: $i] :
( ( ! [SY7488: $i,SY7489: $i] :
( ( c_List_Olist__all2 @ SV309 @ SV752 @ SV1189 @ SY7488 @ SY7489 )
| ! [SY7490: $i,SY7491: $i] :
~ ( c_List_Olist__all2 @ SV309 @ ( c_List_Olist_OCons @ SY7490 @ SV752 @ SY7488 ) @ ( c_List_Olist_OCons @ SY7491 @ SV1189 @ SY7489 ) @ SY7488 @ SY7489 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2467]) ).
thf(2910,plain,
! [SV1190: $i,SV753: $i,SV310: $i] :
( ( ! [SY7492: $i,SY7493: $i,SY7494: $i,SY7495: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV310 @ SV753 @ SV1190 @ SY7492 @ SY7493 )
!= ( c_Expr_Oexp_OWhile @ SY7494 @ SY7495 @ SY7493 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2468]) ).
thf(2911,plain,
! [SV1191: $i,SV754: $i,SV311: $i] :
( ( ! [SY7496: $i,SY7497: $i] :
( ( c_Objects_Ohext @ SV311 @ SV754 )
| ! [SY7498: $i,SY7499: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1191 @ ( c_Pair @ SV311 @ SY7496 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7497 @ ( c_Pair @ SV754 @ SY7498 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7499 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2469]) ).
thf(2912,plain,
! [SV1192: $i,SV755: $i,SV312: $i] :
( ( ! [SY7500: $i,SY7501: $i,SY7502: $i,SY7503: $i,SY7504: $i,SY7505: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV312 @ SV755 @ SV1192 @ SY7500 @ SY7501 )
!= ( c_Expr_Oexp_OFAss @ SY7502 @ SY7503 @ SY7504 @ SY7505 @ SY7501 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2470]) ).
thf(2913,plain,
! [SV1193: $i,SV756: $i,SV313: $i] :
( ( ! [SY7506: $i,SY7507: $i] :
( ( c_Expr_Oexp_OBinOp @ SV313 @ SV756 @ SV1193 @ SY7506 )
!= ( c_Expr_Oexp_OVal @ SY7507 @ SY7506 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2471]) ).
thf(2914,plain,
! [SV1194: $i,SV757: $i,SV314: $i] :
( ( ! [SY7508: $i,SY7509: $i,SY7510: $i,SY7511: $i,SY7512: $i] :
( ( c_Expr_Oexp_OCond @ SV314 @ SV757 @ SV1194 @ SY7508 )
!= ( c_Expr_Oexp_OFAss @ SY7509 @ SY7510 @ SY7511 @ SY7512 @ SY7508 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2472]) ).
thf(2915,plain,
! [SV1195: $i,SV758: $i,SV315: $i] :
( ( ! [SY7513: $i,SY7514: $i,SY7515: $i,SY7516: $i,SY7517: $i] :
( ( c_SmallStep_Oredp @ SV315 @ ( c_Expr_Oexp_OFAss @ SV758 @ SV1195 @ SY7513 @ SY7514 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7515 @ ( c_Expr_Oexp_OFAss @ SY7516 @ SV1195 @ SY7513 @ SY7514 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7517 )
| ~ ( c_SmallStep_Oredp @ SV315 @ SV758 @ SY7515 @ SY7516 @ SY7517 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2473]) ).
thf(2916,plain,
! [SV1196: $i,SV759: $i,SV316: $i] :
( ( ! [SY7518: $i,SY7519: $i,SY7520: $i,SY7521: $i] :
( ( c_SmallStep_Oredp @ SV316 @ ( c_Expr_Oexp_OFAcc @ SV759 @ SV1196 @ SY7518 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7519 @ ( c_Expr_Oexp_OFAcc @ SY7520 @ SV1196 @ SY7518 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7521 )
| ~ ( c_SmallStep_Oredp @ SV316 @ SV759 @ SY7519 @ SY7520 @ SY7521 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2474]) ).
thf(2917,plain,
! [SV1197: $i,SV760: $i,SV317: $i] :
( ( ! [SY7522: $i,SY7523: $i] :
( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ ( c_Expr_Oexp_OBinOp @ SY7522 @ c_Expr_Obop_OEq @ SY7523 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY7524: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SY7523 @ SY7524 )
| ! [SY7525: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SY7522 @ SY7525 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2475]) ).
thf(2918,plain,
! [SV1198: $i,SV761: $i,SV318: $i] :
( ( ! [SY7526: $i,SY7527: $i,SY7528: $i] :
( ( c_Expr_Oexp_OWhile @ SV318 @ SV761 @ SV1198 )
!= ( c_Expr_Oexp_OCond @ SY7526 @ SY7527 @ SY7528 @ SV1198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2476]) ).
thf(2919,plain,
! [SV1199: $i,SV762: $i,SV320: $i] :
( ( ! [SY7529: $i,SY7530: $i,SY7531: $i,SY7532: $i,SY7533: $i] :
( ( c_SmallStep_Oredp @ SV320 @ ( c_Expr_Oexp_OTryCatch @ SV762 @ SV1199 @ SY7529 @ SY7530 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7531 @ ( c_Expr_Oexp_OTryCatch @ SY7532 @ SV1199 @ SY7529 @ SY7530 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7533 )
| ~ ( c_SmallStep_Oredp @ SV320 @ SV762 @ SY7531 @ SY7532 @ SY7533 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2478]) ).
thf(2920,plain,
! [SV1200: $i,SV763: $i,SV321: $i] :
( ( ! [SY7534: $i,SY7535: $i,SY7536: $i,SY7537: $i,SY7538: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV321 @ SV763 @ SV1200 @ SY7534 @ SY7535 )
!= ( c_Expr_Oexp_OFAcc @ SY7536 @ SY7537 @ SY7538 @ SY7535 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2479]) ).
thf(2921,plain,
! [SV1201: $i,SV764: $i,SV322: $i] :
( ( ! [SY7539: $i,SY7540: $i,SY7541: $i,SY7542: $i] :
( ( c_Expr_Oexp_OCond @ SV322 @ SV764 @ SV1201 @ SY7539 )
!= ( c_Expr_Oexp_OFAcc @ SY7540 @ SY7541 @ SY7542 @ SY7539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2480]) ).
thf(2922,plain,
! [SV1202: $i,SV765: $i,SV323: $i] :
( ( ! [SY7543: $i,SY7544: $i,SY7545: $i] :
( ( c_Expr_Oexp_OFAss @ SV323 @ SV765 @ SV1202 @ SY7543 @ SY7544 )
!= ( c_Expr_Oexp_OVal @ SY7545 @ SY7544 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2481]) ).
thf(2923,plain,
! [SV1203: $i,SV766: $i,SV324: $i] :
( ( ! [SY7546: $i,SY7547: $i,SY7548: $i] :
( ( c_Expr_Oexp_OCond @ SV324 @ SV766 @ SV1203 @ SY7546 )
!= ( c_Expr_Oexp_OWhile @ SY7547 @ SY7548 @ SY7546 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2482]) ).
thf(2924,plain,
! [SV1204: $i,SV767: $i,SV325: $i] :
( ( ! [SY7549: $i,SY7550: $i,SY7551: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV325 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SY7549 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7550 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7551 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV325 @ SV1204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7549 @ SY7550 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7551 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2483]) ).
thf(2925,plain,
! [SV768: $i,SV326: $i] :
( ( ( ! [SY6122: $i] : ( c_in @ SV326 @ SV768 @ SY6122 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV768 @ SV326 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2484]) ).
thf(2926,plain,
! [SV769: $i,SV327: $i] :
( ( ( hBOOL @ ( hAPP @ SV327 @ SV769 ) )
= $true )
| ( ( ! [SY6123: $i] :
~ ( c_in @ SV769 @ SV327 @ SY6123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2485]) ).
thf(2927,plain,
! [SV1205: $i,SV770: $i,SV328: $i] :
( ( ! [SY7552: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ SV328 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV770 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1205 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV770 @ SV1205 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7552 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2486]) ).
thf(2928,plain,
! [SV1206: $i,SV771: $i,SV329: $i] :
( ( ! [SY7553: $i,SY7554: $i] :
( ( c_Expr_Oexp_OFAcc @ SV329 @ SV771 @ SV1206 @ SY7553 )
!= ( c_Expr_Oexp_OVal @ SY7554 @ SY7553 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2487]) ).
thf(2929,plain,
! [SV1207: $i,SV772: $i,SV331: $i] :
( ( ! [SY7555: $i,SY7556: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV331 @ SV772 ) @ SV1207 ) )
| ! [SY7557: $i,SY7558: $i] :
~ ( c_List_Olist__all2 @ SV331 @ ( c_List_Olist_OCons @ SV772 @ SY7555 @ SY7556 ) @ ( c_List_Olist_OCons @ SV1207 @ SY7557 @ SY7558 ) @ SY7556 @ SY7558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2489]) ).
thf(2930,plain,
! [SV1208: $i,SV773: $i,SV332: $i] :
( ( ! [SY7559: $i,SY7560: $i,SY7561: $i,SY7562: $i] :
( ( c_SmallStep_Oredp @ SV332 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SY7559 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7560 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SY7561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7562 )
| ~ ( c_SmallStep_Oredp @ SV332 @ SY7559 @ SY7560 @ SY7561 @ SY7562 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2490]) ).
thf(2931,plain,
! [SV1209: $i,SV774: $i,SV333: $i] :
( ( ! [SY7563: $i,SY7564: $i,SY7565: $i,SY7566: $i] :
( ( c_Expr_Oexp_OFAcc @ SV333 @ SV774 @ SV1209 @ SY7563 )
!= ( c_Expr_Oexp_OCond @ SY7564 @ SY7565 @ SY7566 @ SY7563 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2491]) ).
thf(2932,plain,
! [SV1210: $i,SV775: $i,SV334: $i] :
( ( ( SV334 = SV775 )
| ! [SY7567: $i,SY7568: $i] :
~ ( c_BigStep_Oeval @ SV1210 @ ( c_Expr_Oexp_OVal @ SY7567 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV775 @ SY7568 @ SV334 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2492]) ).
thf(2933,plain,
! [SV1211: $i,SV776: $i,SV335: $i] :
( ( ! [SY7569: $i,SY7570: $i,SY7571: $i,SY7572: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV335 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7569 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SY7570 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7571 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7572 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV335 @ SY7569 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7570 @ SY7571 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7572 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2493]) ).
thf(2934,plain,
! [SV1212: $i,SV777: $i,SV336: $i] :
( ( ! [SY7573: $i,SY7574: $i,SY7575: $i,SY7576: $i,SY7577: $i] :
( ( c_Expr_Oexp_OFAss @ SV336 @ SV777 @ SV1212 @ SY7573 @ SY7574 )
!= ( c_Expr_Oexp_OCond @ SY7575 @ SY7576 @ SY7577 @ SY7574 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2494]) ).
thf(2935,plain,
! [SV1213: $i,SV778: $i,SV337: $i] :
( ( ! [SY7578: $i] :
( ! [SY7579: $i] :
( ( c_Expr_Oexp_OWhile @ SV337 @ SV778 @ SV1213 )
!= ( c_Expr_Oexp_OWhile @ SY7578 @ SY7579 @ SV1213 ) )
| ( SV337 = SY7578 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2495]) ).
thf(2936,plain,
! [SV1214: $i,SV779: $i,SV338: $i] :
( ( ! [SY7580: $i,SY7581: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV338 @ SV779 @ SV1214 )
!= ( c_Expr_Oexp_OWhile @ SY7580 @ SY7581 @ SV1214 ) )
| ( SV779 = SY7581 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2496]) ).
thf(2937,plain,
! [SV1215: $i,SV780: $i,SV339: $i] :
( ( ! [SY7582: $i,SY7583: $i,SY7584: $i,SY7585: $i,SY7586: $i] :
( ( c_Expr_Oexp_OBinOp @ SV339 @ SV780 @ SV1215 @ SY7582 )
!= ( c_Expr_Oexp_OTryCatch @ SY7583 @ SY7584 @ SY7585 @ SY7586 @ SY7582 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2497]) ).
thf(2938,plain,
! [SV1216: $i,SV781: $i,SV340: $i] :
( ( ! [SY7587: $i,SY7588: $i] :
( ( c_Expr_Oexp_OWhile @ SV340 @ SV781 @ SV1216 )
!= ( c_Expr_Oexp_OSeq @ SY7587 @ SY7588 @ SV1216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2498]) ).
thf(2939,plain,
! [SV1217: $i,SV782: $i,SV341: $i] :
( ( ( c_List_Olist_OCons @ SV341 @ SV782 @ SV1217 )
!= SV782 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2499]) ).
thf(2940,plain,
! [SV1218: $i,SV783: $i,SV342: $i] :
( ( SV342
!= ( c_List_Olist_OCons @ SV783 @ SV342 @ SV1218 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2500]) ).
thf(2941,plain,
! [SV1219: $i,SV784: $i,SV343: $i] :
( ( ! [SY7589: $i,SY7590: $i,SY7591: $i,SY7592: $i] :
( ( c_Expr_Oexp_OSeq @ SV343 @ SV784 @ SV1219 )
!= ( c_Expr_Oexp_OFAss @ SY7589 @ SY7590 @ SY7591 @ SY7592 @ SV1219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2501]) ).
thf(2942,plain,
! [SV1220: $i,SV785: $i,SV344: $i] :
( ( ! [SY7593: $i,SY7594: $i,SY7595: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ SV344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV785 @ SV1220 @ SY7593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7594 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7594 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7595 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2502]) ).
thf(2943,plain,
! [SV1221: $i,SV786: $i,SV345: $i] :
( ( ! [SY7596: $i,SY7597: $i,SY7598: $i,SY7599: $i,SY7600: $i] :
( ( c_Expr_Oexp_OFAss @ SV345 @ SV786 @ SV1221 @ SY7596 @ SY7597 )
!= ( c_Expr_Oexp_OBinOp @ SY7598 @ SY7599 @ SY7600 @ SY7597 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2503]) ).
thf(2944,plain,
! [SV1222: $i,SV787: $i,SV346: $i] :
( ( ! [SY7601: $i,SY7602: $i,SY7603: $i,SY7604: $i] :
( ( c_Expr_Oexp_OWhile @ SV346 @ SV787 @ SV1222 )
!= ( c_Expr_Oexp_OFAss @ SY7601 @ SY7602 @ SY7603 @ SY7604 @ SV1222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2504]) ).
thf(2945,plain,
! [SV1223: $i,SV788: $i,SV347: $i] :
( ( ! [SY7605: $i,SY7606: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SY7605 @ SY7606 @ tc_Value_Oval @ tc_Type_Oty )
| ! [SY7607: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV347 @ SV1223 ) @ SY7607 @ SY7606 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SY7605 @ SY7607 @ tc_Value_Oval @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2505]) ).
thf(2946,plain,
! [SV1224: $i,SV789: $i,SV348: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV348 @ SV789 ) @ c_Type_Oty_ONT ) @ SV1224 ) )
| ! [SY7608: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV348 @ SY7608 @ SV789 ) @ c_Value_Oval_ONull ) @ SV1224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2506]) ).
thf(2947,plain,
! [SV1225: $i,SV790: $i,SV349: $i] :
( ( ! [SY7609: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV349 @ SV790 @ SV1225 ) @ c_Value_Oval_ONull ) @ SY7609 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV349 @ SV1225 ) @ c_Type_Oty_ONT ) @ SY7609 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2507]) ).
thf(2948,plain,
! [SV1226: $i,SV791: $i,SV350: $i] :
( ( ! [SY7610: $i,SY7611: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV350 @ SV791 @ SV1226 )
!= ( c_Expr_Oexp_OSeq @ SY7610 @ SY7611 @ SV1226 ) )
| ( SV791 = SY7611 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2508]) ).
thf(2949,plain,
! [SV1227: $i,SV792: $i,SV351: $i] :
( ( ! [SY7612: $i] :
( ! [SY7613: $i] :
( ( c_Expr_Oexp_OSeq @ SV351 @ SV792 @ SV1227 )
!= ( c_Expr_Oexp_OSeq @ SY7612 @ SY7613 @ SV1227 ) )
| ( SV351 = SY7612 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2509]) ).
thf(2950,plain,
! [SV1228: $i,SV793: $i,SV352: $i] :
( ( ! [SY7614: $i] :
( ( c_Expr_Oexp_OSeq @ SV352 @ SV793 @ SV1228 )
!= ( c_Expr_Oexp_OVal @ SY7614 @ SV1228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2510]) ).
thf(2951,plain,
! [SV1229: $i,SV794: $i,SV353: $i] :
( ( ! [SY7615: $i,SY7616: $i,SY7617: $i,SY7618: $i,SY7619: $i] :
( ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ SY7615 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SY7616 @ SV1229 @ SV353 @ SY7617 @ SY7618 @ SY7615 @ SY7619 @ SV794 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ ( c_Expr_Oexp_OTryCatch @ SY7615 @ SY7616 @ SY7618 @ SY7619 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7617 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2511]) ).
thf(2952,plain,
! [SV1230: $i,SV795: $i,SV354: $i] :
( ( ! [SY7620: $i,SY7621: $i] :
( ( c_Objects_Ohext @ SV354 @ SV795 )
| ! [SY7622: $i,SY7623: $i] :
~ ( c_BigStep_Oevals @ SV1230 @ SY7620 @ ( c_Pair @ SV354 @ SY7621 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SY7622 @ ( c_Pair @ SV795 @ SY7623 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2512]) ).
thf(2953,plain,
! [SV1231: $i,SV796: $i,SV355: $i] :
( ( ( c_WellType_OWT @ SV355 @ SV796 @ SV1231 @ c_Type_Oty_OBoolean )
| ! [SY7624: $i,SY7625: $i] :
~ ( c_WellType_OWT @ SV355 @ SV796 @ ( c_Expr_Oexp_OWhile @ SV1231 @ SY7624 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7625 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2513]) ).
thf(2954,plain,
! [SV1232: $i,SV797: $i,SV356: $i] :
( ( ! [SY7626: $i,SY7627: $i] :
( ( SV356
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SY7626 @ SY7627 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1232 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV797 @ SV1232 @ SV356 @ SY7626 @ SY7627 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SY7626 @ SY7627 ) ) )
| ! [SY7628: $i] :
~ ( c_WellType_OWT @ SV1232 @ SV797 @ ( c_Expr_Oexp_OCond @ SY7628 @ SY7626 @ SY7627 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2514]) ).
thf(2955,plain,
! [SV1233: $i,SV798: $i,SV357: $i] :
( ( ! [SY7629: $i,SY7630: $i,SY7631: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
| ~ ( c_Progress_OWTrt_H @ SV357 @ SY7629 @ SY7630 @ SY7631 @ SV1233 )
| ! [SY6233: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SY7629 @ SY7630 @ SY6233 @ SV798 )
| ! [SY6234: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SY7629 @ SY7630 @ SY6234 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SY7629 @ SY7630 @ ( c_Expr_Oexp_OCond @ SY6234 @ SY6233 @ SY7631 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2515]) ).
thf(2956,plain,
! [SV1234: $i,SV799: $i,SV358: $i] :
( ( ! [SY7634: $i,SY7635: $i,SY7636: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
| ~ ( c_Progress_OWTrt_H @ SV358 @ SY7634 @ SY7635 @ SY7636 @ SV1234 )
| ! [SY7637: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SY7634 @ SY7635 @ SY7637 @ SV799 )
| ! [SY7638: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SY7634 @ SY7635 @ SY7638 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SY7634 @ SY7635 @ ( c_Expr_Oexp_OCond @ SY7638 @ SY7637 @ SY7636 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2516]) ).
thf(2957,plain,
! [SV1235: $i,SV800: $i,SV359: $i] :
( ( ! [SY7639: $i,SY7640: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV800 @ SV1235 ) @ SY7639 ) @ SY7640 ) )
| ! [SY7641: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SY7641 @ SV1235 ) @ SY7639 ) @ SY7640 ) )
| ~ ( c_Objects_Ohext @ SY7641 @ SV800 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2517]) ).
thf(2958,plain,
! [SV1236: $i,SV801: $i,SV361: $i] :
( ( ! [SY7642: $i,SY7643: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV801 @ SV1236 ) @ SY7642 @ SY7643 @ tc_Value_Oval @ tc_Type_Oty )
| ! [SY7644: $i] :
( ~ ( c_Objects_Ohext @ SY7644 @ SV801 )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SY7644 @ SV1236 ) @ SY7642 @ SY7643 @ tc_Value_Oval @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2518]) ).
thf(2959,plain,
! [SV802: $i,SV362: $i] :
( ( ( c_Objects_Ohext @ SV362 @ SV802 )
= $true )
| ( ( ! [SY6249: $i] :
( ~ ( c_Objects_Ohext @ SY6249 @ SV802 )
| ~ ( c_Objects_Ohext @ SV362 @ SY6249 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2519]) ).
thf(2960,plain,
! [SV1237: $i,SV803: $i,SV363: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV363 @ SV803 ) @ c_Type_Oty_ONT ) @ ( c_Type_Oty_OClass @ SV1237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2520]) ).
thf(2961,plain,
! [SV1238: $i,SV804: $i,SV364: $i] :
( ( ! [SY7645: $i,SY7646: $i,SY7647: $i] : ( c_SmallStep_Oredp @ SV364 @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ SV804 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1238 @ SY7645 @ SY7646 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7647 @ ( c_Expr_Oexp_OVal @ SV804 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7647 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2521]) ).
thf(2962,plain,
! [SV1239: $i,SV805: $i,SV365: $i] :
( ( ! [SY7648: $i] :
( ( c_WellType_OWT @ SV365 @ SV805 @ SV1239 @ c_Type_Oty_OBoolean )
| ! [SY7649: $i,SY7650: $i] :
~ ( c_WellType_OWT @ SV365 @ SV805 @ ( c_Expr_Oexp_OCond @ SV1239 @ SY7648 @ SY7649 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7650 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2522]) ).
thf(2963,plain,
! [SV1240: $i,SV806: $i,SV366: $i] :
( ( ! [SY7651: $i,SY7652: $i,SY7653: $i,SY7654: $i,SY7655: $i] :
( ( c_Expr_Oexp_OCond @ SV366 @ SV806 @ SV1240 @ SY7651 )
!= ( c_Expr_Oexp_OTryCatch @ SY7652 @ SY7653 @ SY7654 @ SY7655 @ SY7651 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2523]) ).
thf(2964,plain,
! [SV807: $i,SV367: $i] :
( ( ( SV367 = SV807 )
= $true )
| ( ( ! [SY6265: $i] :
~ ( c_List_Olist__all2 @ ( c_fequal @ SY6265 ) @ SV367 @ SV807 @ SY6265 @ SY6265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2524]) ).
thf(2965,plain,
! [SV1241: $i,SV808: $i,SV368: $i] :
( ( ! [SY7656: $i,SY7657: $i] :
( ( c_Expr_Oexp_OVal @ SV368 @ SV808 )
!= ( c_Expr_Oexp_OCond @ SV1241 @ SY7656 @ SY7657 @ SV808 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2525]) ).
thf(2966,plain,
! [SV1242: $i,SV810: $i,SV370: $i] :
( ( ! [SY7658: $i,SY7659: $i] :
( ( c_Decl_Ois__class @ SV370 @ SV810 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY7660: $i,SY7661: $i] :
~ ( c_WellType_OWT @ SV370 @ SV1242 @ ( c_Expr_Oexp_OTryCatch @ SY7658 @ SV810 @ SY7659 @ SY7660 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2527]) ).
thf(2967,plain,
! [SV1243: $i,SV811: $i,SV371: $i] :
( ( ! [SY7662: $i,SY7663: $i,SY7664: $i] :
( ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ SY7662 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV1243 @ SV371 @ SY7663 @ SY7664 @ SY7662 @ SV811 ) )
| ! [SY7665: $i] :
~ ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ ( c_Expr_Oexp_OCond @ SY7665 @ SY7664 @ SY7662 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7663 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2528]) ).
thf(2968,plain,
! [SV1244: $i,SV812: $i,SV372: $i] :
( ( ! [SY7666: $i,SY7667: $i,SY7668: $i] :
( ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ SY7666 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV1244 @ SV372 @ SY7667 @ SY7666 @ SY7668 @ SV812 ) )
| ! [SY7669: $i] :
~ ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ ( c_Expr_Oexp_OCond @ SY7669 @ SY7666 @ SY7668 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7667 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2529]) ).
thf(2969,plain,
! [SV1245: $i,SV813: $i,SV373: $i] :
( ( ! [SY7670: $i] :
( ( c_WellType_OWT @ SV373 @ SV813 @ ( c_Expr_Oexp_OBinOp @ SV1245 @ c_Expr_Obop_OEq @ SY7670 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY7671: $i,SY7672: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV373 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY7671 ) @ SY7672 ) )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SY7670 @ SY7672 )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1245 @ SY7671 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2530]) ).
thf(2970,plain,
! [SV1246: $i,SV814: $i,SV374: $i] :
( ( ! [SY7673: $i] :
( ( c_WellType_OWT @ SV374 @ SV814 @ ( c_Expr_Oexp_OBinOp @ SV1246 @ c_Expr_Obop_OEq @ SY7673 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY7674: $i,SY7675: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV374 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY7674 ) @ SY7675 ) )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SY7673 @ SY7674 )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1246 @ SY7675 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2531]) ).
thf(2971,plain,
! [SV1247: $i,SV815: $i,SV375: $i] :
( ( ! [SY7676: $i,SY7677: $i] :
( ( c_Expr_Oexp_OCond @ SV375 @ SV815 @ SV1247 @ SY7676 )
!= ( c_Expr_Oexp_OVal @ SY7677 @ SY7676 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2532]) ).
thf(2972,plain,
! [SV1248: $i,SV816: $i,SV376: $i] :
( ( ! [SY7678: $i,SY7679: $i,SY7680: $i] :
( ( c_Expr_Oexp_OSeq @ SV376 @ SV816 @ SV1248 )
!= ( c_Expr_Oexp_OCond @ SY7678 @ SY7679 @ SY7680 @ SV1248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2533]) ).
thf(2973,plain,
! [SV1249: $i,SV817: $i,SV377: $i] :
( ( ! [SY7681: $i,SY7682: $i,SY7683: $i] :
( ( SV377
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SY7681 @ SY7682 @ SY7683 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1249 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV817 @ SV1249 @ SV377 @ SY7681 @ SY7682 @ SY7683 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SY7681 @ SY7682 @ SY7683 ) ) )
| ! [SY7684: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1249 @ SY7683 @ SV817 @ ( c_Expr_Oexp_OCond @ SY7684 @ SY7681 @ SY7682 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2534]) ).
thf(2974,plain,
! [SV1250: $i,SV818: $i,SV378: $i] :
( ( ! [SY7685: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) )
| ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY7685 @ SV818 )
| ! [SY7686: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY7686 @ SV818 )
| ! [SY7687: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY7687 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV378 @ SV1250 @ ( c_Expr_Oexp_OCond @ SY7687 @ SY7686 @ SY7685 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2535]) ).
thf(2975,plain,
! [SV1251: $i,SV819: $i,SV379: $i] :
( ( c_Map_Omap__le @ SV379 @ SV379 @ SV819 @ SV1251 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2536]) ).
thf(2976,plain,
! [SV1252: $i,SV820: $i,SV380: $i] :
( ( ! [SY7688: $i] :
( ( c_Map_Omap__le @ SV380 @ SV820 @ SV1252 @ SY7688 )
| ! [SY7689: $i] :
( ~ ( c_Map_Omap__le @ SY7689 @ SV820 @ SV1252 @ SY7688 )
| ~ ( c_Map_Omap__le @ SV380 @ SY7689 @ SV1252 @ SY7688 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2537]) ).
thf(2977,plain,
! [SV1253: $i,SV821: $i,SV381: $i] :
( ( ! [SY7690: $i] :
( ( c_WellType_OWT @ SV381 @ SV821 @ SV1253 @ SY7690 )
| ! [SY7691: $i] :
( ~ ( c_Map_Omap__le @ SY7691 @ SV821 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellType_OWT @ SV381 @ SY7691 @ SV1253 @ SY7690 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2538]) ).
thf(2978,plain,
! [SV1254: $i,SV822: $i,SV382: $i] :
( ( ! [SY7692: $i,SY7693: $i] :
( ( c_Objects_Ohext @ SV382 @ SV822 )
| ! [SY7694: $i,SY7695: $i] :
~ ( c_BigStep_Oeval @ SV1254 @ SY7692 @ ( c_Pair @ SV382 @ SY7693 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SY7694 @ ( c_Pair @ SV822 @ SY7695 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2539]) ).
thf(2979,plain,
! [SV1255: $i,SV823: $i,SV383: $i] :
( ( ! [SY7696: $i,SY7697: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
| ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SY7696 @ SY7697 @ SV823 )
| ! [SY7698: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SY7696 @ SY7698 @ SV823 )
| ! [SY7699: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SY7696 @ SY7699 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SY7696 @ ( c_Expr_Oexp_OCond @ SY7699 @ SY7698 @ SY7697 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2540]) ).
thf(2980,plain,
! [SV1256: $i,SV824: $i,SV384: $i] :
( ( ! [SY7700: $i,SY7701: $i] :
( ( c_WellType_OWT @ SV384 @ SV824 @ SV1256 @ SY7700 )
| ! [SY7702: $i,SY7703: $i] :
~ ( c_WellType_OWT @ SV384 @ SV824 @ ( c_Expr_Oexp_OTryCatch @ SV1256 @ SY7701 @ SY7702 @ SY7703 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7700 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2541]) ).
thf(2981,plain,
! [SV1257: $i,SV825: $i,SV385: $i] :
( ( ! [SY7704: $i,SY7705: $i] :
( ! [SY7706: $i,SY7707: $i] : ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ ( c_Expr_Oexp_OFAcc @ SY7704 @ SY7705 @ SY7706 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7707 )
| ~ ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ SY7704 @ c_Type_Oty_ONT ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2542]) ).
thf(2982,plain,
! [SV1258: $i,SV826: $i,SV386: $i] :
( ( ! [SY7708: $i,SY7709: $i,SY7710: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SY7708 @ SY7709 @ SY7710 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SY7708 @ SY7709 @ SY7710 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SY7708 @ SY7709 @ SY7710 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SY7708 @ SY7709 @ SY7710 ) ) )
| ! [SY7711: $i] :
~ ( c_WellTypeRT_OWTrt @ SV386 @ SY7710 @ SV826 @ ( c_Expr_Oexp_OCond @ SY7711 @ SY7708 @ SY7709 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2543]) ).
thf(2983,plain,
! [SV1259: $i,SV827: $i,SV387: $i] :
( ( ! [SY7712: $i,SY7713: $i] :
( ! [SY7714: $i,SY7715: $i] : ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ ( c_Expr_Oexp_OFAcc @ SY7712 @ SY7713 @ SY7714 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7715 )
| ~ ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ SY7712 @ c_Type_Oty_ONT ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2544]) ).
thf(2984,plain,
! [SV1260: $i,SV828: $i,SV388: $i] :
( ( ! [SY7716: $i] :
( ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SV1260 @ SY7716 @ c_Type_Oty_OBoolean )
| ! [SY7717: $i,SY7718: $i] :
~ ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SV1260 @ ( c_Expr_Oexp_OWhile @ SY7716 @ SY7717 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7718 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2545]) ).
thf(2985,plain,
! [SV1261: $i,SV829: $i,SV389: $i] :
( ( ! [SY7719: $i,SY7720: $i,SY7721: $i] :
( ( c_Expr_Oexp_OCond @ SV389 @ SV829 @ SV1261 @ SY7719 )
!= ( c_Expr_Oexp_OSeq @ SY7720 @ SY7721 @ SY7719 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2546]) ).
thf(2986,plain,
! [SV1262: $i,SV830: $i,SV390: $i] :
( ( ! [SY7722: $i] : ( c_SmallStep_Oredp @ SV390 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ SV830 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1262 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7722 @ SV1262 @ SY7722 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2547]) ).
thf(2987,plain,
! [SV1263: $i,SV831: $i,SV391: $i] :
( ( ! [SY7723: $i,SY7724: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV391 @ SV831 ) @ ( c_Conform_Osko__Conform__Xconf__def__1__1 @ SV391 @ SV1263 @ SY7723 @ SY7724 @ SV831 ) ) @ SV1263 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV391 @ SY7723 @ SV831 ) @ SY7724 ) @ SV1263 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2548]) ).
thf(2988,plain,
! [SV1264: $i,SV832: $i,SV392: $i] :
( ( ! [SY7725: $i,SY7726: $i,SY7727: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ ( c_List_Olist_OCons @ SV1264 @ SY7725 @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ SY7726 @ SY7727 @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SY7725 @ SY7727 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1264 ) @ SY7726 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2549]) ).
thf(2989,plain,
! [SV833: $i,SV393: $i] :
( ( ( SV393 = SV833 )
= $true )
| ( ( ! [SY6362: $i,SY6363: $i] :
( ~ ( c_Map_Omap__le @ SV833 @ SV393 @ SY6362 @ SY6363 )
| ~ ( c_Map_Omap__le @ SV393 @ SV833 @ SY6362 @ SY6363 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2550]) ).
thf(2990,plain,
! [SV1265: $i,SV834: $i,SV394: $i] :
( ( ! [SY7728: $i,SY7729: $i,SY7730: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV394 @ SV834 @ SV1265 @ SY7728 @ SY7729 )
!= ( c_Expr_Oexp_OVal @ SY7730 @ SY7729 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2551]) ).
thf(2991,plain,
! [SV835: $i,SV395: $i] :
( ( ( SV395 = c_Value_Oval_ONull )
= $true )
| ( ( ! [SY6368: $i,SY6369: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV835 @ SY6368 @ SY6369 ) @ SV395 ) @ c_Type_Oty_ONT ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2552]) ).
thf(2992,plain,
! [SV1266: $i,SV836: $i,SV396: $i] :
( ( ! [SY7731: $i,SY7732: $i,SY7733: $i,SY7734: $i,SY7735: $i] :
( ( c_BigStep_Oeval @ SV396 @ ( c_Expr_Oexp_OTryCatch @ SV836 @ SV1266 @ SY7731 @ SY7732 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7733 @ ( c_Expr_Oexp_OVal @ SY7734 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7735 )
| ~ ( c_BigStep_Oeval @ SV396 @ SV836 @ SY7733 @ ( c_Expr_Oexp_OVal @ SY7734 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7735 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2553]) ).
thf(2993,plain,
! [SV1267: $i,SV837: $i,SV397: $i] :
( ( ! [SY7736: $i,SY7737: $i,SY7738: $i,SY7739: $i,SY7740: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV397 @ SV837 @ SV1267 @ SY7736 @ SY7737 )
!= ( c_Expr_Oexp_OCond @ SY7738 @ SY7739 @ SY7740 @ SY7737 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2554]) ).
thf(2994,plain,
! [SV1268: $i,SV838: $i,SV398: $i] :
( ( ! [SY7741: $i,SY7742: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
| ~ ( c_WellType_OWT @ SV398 @ SY7741 @ SY7742 @ SV1268 )
| ! [SY7743: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SY7741 @ SY7743 @ SV838 )
| ! [SY7744: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SY7741 @ SY7744 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SY7741 @ ( c_Expr_Oexp_OCond @ SY7744 @ SY7743 @ SY7742 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2555]) ).
thf(2995,plain,
! [SV1269: $i,SV839: $i,SV399: $i] :
( ( ! [SY7745: $i,SY7746: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
| ~ ( c_WellType_OWT @ SV399 @ SY7745 @ SY7746 @ SV1269 )
| ! [SY6390: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SY7745 @ SY6390 @ SV839 )
| ! [SY6391: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SY7745 @ SY6391 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SY7745 @ ( c_Expr_Oexp_OCond @ SY6391 @ SY6390 @ SY7746 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2556]) ).
thf(2996,plain,
! [SV1270: $i,SV840: $i,SV400: $i] :
( ( ! [SY7749: $i,SY7750: $i,SY7751: $i] :
( ( c_BigStep_Oeval @ SV400 @ ( c_Expr_Oexp_OSeq @ SV840 @ SV1270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7749 @ SY7750 @ SY7751 )
| ! [SY7752: $i] :
( ~ ( c_BigStep_Oeval @ SV400 @ SV1270 @ SY7752 @ SY7750 @ SY7751 )
| ! [SY6397: $i] :
~ ( c_BigStep_Oeval @ SV400 @ SV840 @ SY7749 @ ( c_Expr_Oexp_OVal @ SY6397 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7752 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2557]) ).
thf(2997,plain,
! [SV1271: $i,SV841: $i,SV401: $i] :
( ( ! [SY7754: $i,SY7755: $i,SY7756: $i] :
( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ ( c_Expr_Oexp_OSeq @ SY7754 @ SY7755 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7756 )
| ~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SY7755 @ SY7756 )
| ! [SY7757: $i] :
~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SY7754 @ SY7757 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2558]) ).
thf(2998,plain,
! [SV1272: $i,SV842: $i,SV402: $i] :
( ( ! [SY7758: $i,SY7759: $i] :
( ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ SY7758 @ c_Type_Oty_OBoolean )
| ! [SY7760: $i,SY7761: $i] :
~ ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ ( c_Expr_Oexp_OCond @ SY7758 @ SY7759 @ SY7760 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7761 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2559]) ).
thf(2999,plain,
! [SV1273: $i,SV843: $i,SV403: $i] :
( ( ! [SY7762: $i,SY7763: $i] :
( ( c_WellType_OWT @ SV403 @ SV843 @ SV1273 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV843 @ SV403 @ SY7762 @ SY7763 @ SV1273 ) )
| ! [SY7764: $i] :
~ ( c_WellType_OWT @ SV403 @ SV843 @ ( c_Expr_Oexp_OCond @ SY7764 @ SY7763 @ SV1273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7762 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2560]) ).
thf(3000,plain,
! [SV1274: $i,SV844: $i,SV404: $i] :
( ( ! [SY7765: $i,SY7766: $i] :
( ( c_WellType_OWT @ SV404 @ SV844 @ SV1274 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV844 @ SV404 @ SY7765 @ SV1274 @ SY7766 ) )
| ! [SY7767: $i] :
~ ( c_WellType_OWT @ SV404 @ SV844 @ ( c_Expr_Oexp_OCond @ SY7767 @ SV1274 @ SY7766 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7765 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2561]) ).
thf(3001,plain,
! [SV1275: $i,SV845: $i,SV405: $i] :
( ( ! [SY7768: $i,SY7769: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV405 @ SV845 ) @ ( c_Conform_Osko__Conform__Xconfs__conv__map__1__1 @ SV405 @ SV1275 @ SY7768 @ SY7769 @ SV845 ) @ SV1275 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV405 @ SY7768 @ SV845 ) @ SY7769 @ SV1275 @ tc_Value_Oval @ tc_Type_Oty ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2562]) ).
thf(3002,plain,
! [SV1276: $i,SV846: $i,SV406: $i] :
( ( ! [SY7770: $i,SY7771: $i,SY7772: $i] :
( ( SV406
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SY7770 @ SY7771 @ SY7772 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1276 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV846 @ SV1276 @ SV406 @ SY7770 @ SY7771 @ SY7772 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SY7770 @ SY7771 @ SY7772 ) ) )
| ! [SY7773: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1276 @ SY7772 @ SV846 @ ( c_Expr_Oexp_OCond @ SY7773 @ SY7770 @ SY7771 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2563]) ).
thf(3003,plain,
! [SV1277: $i,SV847: $i,SV407: $i] :
( ( ! [SY7774: $i,SY7775: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SY7774 @ SY7775 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SY7774 @ SY7775 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SY7774 @ SY7775 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SY7774 @ SY7775 ) ) )
| ! [SY7776: $i] :
~ ( c_WellType_OWT @ SV407 @ SV847 @ ( c_Expr_Oexp_OCond @ SY7776 @ SY7774 @ SY7775 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2564]) ).
thf(3004,plain,
! [SV1278: $i,SV848: $i,SV408: $i] :
( ( ! [SY7777: $i,SY7778: $i] :
( ! [SY7779: $i] :
( ( c_Pair @ SV408 @ SV848 @ SV1278 @ SY7777 )
!= ( c_Pair @ SY7778 @ SY7779 @ SV1278 @ SY7777 ) )
| ( SV408 = SY7778 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2565]) ).
thf(3005,plain,
! [SV1279: $i,SV849: $i,SV409: $i] :
( ( ! [SY7780: $i,SY7781: $i,SY7782: $i] :
( ( ( c_Pair @ SV409 @ SV849 @ SV1279 @ SY7780 )
!= ( c_Pair @ SY7781 @ SY7782 @ SV1279 @ SY7780 ) )
| ( SV849 = SY7782 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2566]) ).
thf(3006,plain,
! [SV1280: $i,SV850: $i,SV410: $i] :
( ( ! [SY7783: $i,SY7784: $i,SY7785: $i] :
( ( c_Expr_Oexp_OVal @ SV410 @ SV850 )
!= ( c_Expr_Oexp_OTryCatch @ SV1280 @ SY7783 @ SY7784 @ SY7785 @ SV850 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2567]) ).
thf(3007,plain,
! [SV1281: $i,SV851: $i,SV411: $i] :
( ( ! [SY7786: $i,SY7787: $i] :
( ( c_WellType_OWT @ SV411 @ SV851 @ ( c_Expr_Oexp_OSeq @ SV1281 @ SY7786 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7787 )
| ~ ( c_WellType_OWT @ SV411 @ SV851 @ SY7786 @ SY7787 )
| ! [SY7788: $i] :
~ ( c_WellType_OWT @ SV411 @ SV851 @ SV1281 @ SY7788 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2568]) ).
thf(3008,plain,
! [SV1282: $i,SV852: $i,SV412: $i] :
( ( ! [SY7789: $i,SY7790: $i,SY7791: $i,SY7792: $i] :
( ( ( c_Expr_Oexp_OCond @ SV412 @ SV852 @ SV1282 @ SY7789 )
!= ( c_Expr_Oexp_OCond @ SY7790 @ SY7791 @ SY7792 @ SY7789 ) )
| ( SV1282 = SY7792 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2569]) ).
thf(3009,plain,
! [SV1283: $i,SV853: $i,SV413: $i] :
( ( ! [SY7793: $i,SY7794: $i,SY7795: $i] :
( ! [SY7796: $i] :
( ( c_Expr_Oexp_OCond @ SV413 @ SV853 @ SV1283 @ SY7793 )
!= ( c_Expr_Oexp_OCond @ SY7794 @ SY7795 @ SY7796 @ SY7793 ) )
| ( SV853 = SY7795 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2570]) ).
thf(3010,plain,
! [SV1284: $i,SV854: $i,SV414: $i] :
( ( ! [SY7797: $i,SY7798: $i] :
( ! [SY7799: $i,SY7800: $i] :
( ( c_Expr_Oexp_OCond @ SV414 @ SV854 @ SV1284 @ SY7797 )
!= ( c_Expr_Oexp_OCond @ SY7798 @ SY7799 @ SY7800 @ SY7797 ) )
| ( SV414 = SY7798 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2571]) ).
thf(3011,plain,
! [SV1285: $i,SV855: $i,SV415: $i] :
( ( ! [SY7801: $i,SY7802: $i] :
( ( SV415
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SY7801 @ SY7802 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1285 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV855 @ SV1285 @ SV415 @ SY7801 @ SY7802 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SY7801 @ SY7802 ) ) )
| ! [SY7803: $i] :
~ ( c_WellType_OWT @ SV1285 @ SV855 @ ( c_Expr_Oexp_OCond @ SY7803 @ SY7801 @ SY7802 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2572]) ).
thf(3012,plain,
! [SV1286: $i,SV856: $i,SV416: $i] :
( ( ! [SY7804: $i,SY7805: $i,SY7806: $i,SY7807: $i,SY7808: $i,SY7809: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV416 @ SV856 @ SV1286 @ SY7804 @ SY7805 )
!= ( c_Expr_Oexp_OTryCatch @ SY7806 @ SY7807 @ SY7808 @ SY7809 @ SY7805 ) )
| ( SY7804 = SY7809 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2573]) ).
thf(3013,plain,
! [SV1287: $i,SV857: $i,SV417: $i] :
( ( ! [SY7810: $i,SY7811: $i,SY7812: $i,SY7813: $i,SY7814: $i] :
( ! [SY7815: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV417 @ SV857 @ SV1287 @ SY7810 @ SY7811 )
!= ( c_Expr_Oexp_OTryCatch @ SY7812 @ SY7813 @ SY7814 @ SY7815 @ SY7811 ) )
| ( SV1287 = SY7814 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2574]) ).
thf(3014,plain,
! [SV1288: $i,SV858: $i,SV418: $i] :
( ( ! [SY7816: $i,SY7817: $i,SY7818: $i,SY7819: $i] :
( ! [SY7820: $i,SY7821: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV418 @ SV858 @ SV1288 @ SY7816 @ SY7817 )
!= ( c_Expr_Oexp_OTryCatch @ SY7818 @ SY7819 @ SY7820 @ SY7821 @ SY7817 ) )
| ( SV858 = SY7819 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2575]) ).
thf(3015,plain,
! [SV1289: $i,SV859: $i,SV419: $i] :
( ( ! [SY7822: $i,SY7823: $i,SY7824: $i,SY7825: $i] :
( ! [SY7826: $i,SY7827: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV419 @ SV859 @ SV1289 @ SY7822 @ SY7823 )
!= ( c_Expr_Oexp_OTryCatch @ SY7824 @ SY7825 @ SY7826 @ SY7827 @ SY7823 ) )
| ( SV419 = SY7824 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2576]) ).
thf(3016,plain,
! [SV1290: $i,SV861: $i,SV421: $i] :
( ( ! [SY7828: $i] :
( ( c_Expr_Oexp_OVal @ SV421 @ SV861 )
!= ( c_Expr_Oexp_OSeq @ SV1290 @ SY7828 @ SV861 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2578]) ).
thf(3017,plain,
! [SV1291: $i,SV862: $i,SV422: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV422 @ SV862 @ SV1291 ) @ c_Value_Oval_ONull ) @ c_Type_Oty_ONT ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2579]) ).
thf(3018,plain,
! [SV1292: $i,SV863: $i,SV423: $i] :
( ( ! [SY7829: $i,SY7830: $i,SY7831: $i,SY7832: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV423 @ SV863 @ SV1292 @ SY7829 @ SY7830 )
!= ( c_Expr_Oexp_OSeq @ SY7831 @ SY7832 @ SY7830 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2580]) ).
thf(3019,plain,
! [SV1293: $i,SV864: $i,SV424: $i] :
( ( ! [SY7833: $i,SY7834: $i,SY7835: $i,SY7836: $i] :
( ( c_Expr_Oexp_OSeq @ SV424 @ SV864 @ SV1293 )
!= ( c_Expr_Oexp_OTryCatch @ SY7833 @ SY7834 @ SY7835 @ SY7836 @ SV1293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2581]) ).
thf(3020,plain,
! [SV1294: $i,SV865: $i,SV425: $i] :
( ( ( ( c_Expr_Oexp_OVal @ SV425 @ SV865 )
!= ( c_Expr_Oexp_OVal @ SV1294 @ SV865 ) )
| ( SV425 = SV1294 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2582]) ).
thf(3021,plain,
! [SV866: $i,SV426: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV426 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ SV426 @ v_P @ SV866 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV426 @ v_e_092_060_094isub_0622____ @ SV866 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV426 @ ( 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)],[2583]) ).
thf(3022,plain,
! [SV867: $i,SV427: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XIH__1 @ SV427 @ v_P @ SV867 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV867 ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV427 @ v_e_092_060_094isub_0622____ @ SV867 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV427 @ ( 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)],[2584]) ).
thf(3023,plain,
! [SV868: $i,SV428: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV428 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__2__1 @ SV428 @ v_P @ SV868 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV428 @ v_e_092_060_094isub_0622____ @ SV868 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV428 @ ( 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)],[2585]) ).
thf(3024,plain,
! [SV869: $i,SV429: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ SV429 @ v_P @ SV869 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV869 ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV429 @ v_e_092_060_094isub_0622____ @ SV869 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV429 @ ( 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)],[2586]) ).
thf(3025,plain,
! [SV1295: $i,SV870: $i,SV430: $i] :
( ( ! [SY7837: $i,SY7838: $i,SY7839: $i] :
( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ ( c_Expr_Oexp_OSeq @ SY7837 @ SY7838 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7839 )
| ~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SY7838 @ SY7839 )
| ! [SY7840: $i] :
~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SY7837 @ SY7840 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2587]) ).
thf(3026,plain,
! [SV871: $i,SV431: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__2__1 @ SV431 @ v_P @ SV871 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV871 ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV431 @ v_e_092_060_094isub_0622____ @ SV871 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV431 @ ( 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)],[2588]) ).
thf(3027,plain,
! [SV1296: $i,SV872: $i,SV432: $i] :
( ( ! [SY7841: $i,SY7842: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SY7841 @ SY7842 @ SV872 )
| ! [SY7843: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SY7841 @ SY7843 @ SV872 )
| ! [SY7844: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SY7841 @ SY7844 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SY7841 @ ( c_Expr_Oexp_OCond @ SY7844 @ SY7843 @ SY7842 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2589]) ).
thf(3028,plain,
! [SV873: $i,SV433: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV433 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XIH__1 @ SV433 @ v_P @ SV873 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV433 @ v_e_092_060_094isub_0622____ @ SV873 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV433 @ ( 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)],[2590]) ).
thf(3029,plain,
! [SV1297: $i,SV874: $i,SV434: $i] :
( ( ! [SY7845: $i,SY7846: $i] :
( ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SV1297 @ SY7845 @ SY7846 )
| ! [SY7847: $i] :
( ~ ( c_Map_Omap__le @ SY7847 @ SV1297 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SY7847 @ SY7845 @ SY7846 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2591]) ).
thf(3030,plain,
! [SV1298: $i,SV875: $i,SV435: $i] :
( ( ! [SY7848: $i,SY7849: $i] :
( ( c_Progress_OWTrt_H @ SV435 @ SV875 @ SV1298 @ SY7848 @ SY7849 )
| ~ ( c_WellTypeRT_OWTrt @ SV435 @ SV875 @ SV1298 @ SY7848 @ SY7849 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2592]) ).
thf(3031,plain,
! [SV1299: $i,SV876: $i,SV436: $i] :
( ( ! [SY7850: $i,SY7851: $i] :
( ( c_WellTypeRT_OWTrt @ SV436 @ SV876 @ SV1299 @ SY7850 @ SY7851 )
| ~ ( c_Progress_OWTrt_H @ SV436 @ SV876 @ SV1299 @ SY7850 @ SY7851 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2593]) ).
thf(3032,plain,
! [SV1300: $i,SV877: $i,SV437: $i] :
( ( ! [SY7852: $i,SY7853: $i,SY7854: $i,SY7855: $i,SY7856: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV437 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV877 @ SV1300 @ SV437 @ SY7852 @ SY7853 @ SY7854 @ SY7855 @ SY7856 ) ) @ SY7852 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV437 @ SY7856 @ SV1300 @ ( c_Expr_Oexp_OTryCatch @ SY7854 @ SV877 @ SY7853 @ SY7855 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7852 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2594]) ).
thf(3033,plain,
! [SV1301: $i,SV878: $i,SV438: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV438 @ SV878 ) @ SV1301 ) @ SV1301 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2595]) ).
thf(3034,plain,
! [SV1302: $i,SV879: $i,SV439: $i] :
( ( ! [SY7857: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SY7857 ) )
| ! [SY7858: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SY7858 ) @ SY7857 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SY7858 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2596]) ).
thf(3035,plain,
! [SV1303: $i,SV880: $i,SV440: $i] :
( ( ! [SY7859: $i,SY7860: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SY7859 ) @ SY7860 ) )
| ! [SY7861: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV440 @ SV1303 ) @ SY7861 ) @ SY7860 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SY7859 ) @ SY7861 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2597]) ).
thf(3036,plain,
! [SV1304: $i,SV881: $i,SV441: $i] :
( ( ! [SY7862: $i,SY7863: $i] :
( ( c_WellTypeRT_OWTrt @ SV441 @ SV881 @ SV1304 @ SY7862 @ SY7863 )
| ~ ( c_WellType_OWT @ SV441 @ SV1304 @ SY7862 @ SY7863 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2598]) ).
thf(3037,plain,
! [SV1305: $i,SV882: $i,SV442: $i] :
( ( ! [SY7864: $i,SY7865: $i] :
( ( c_WellTypeRT_OWTrt @ SV442 @ SV882 @ SV1305 @ SY7864 @ SY7865 )
| ! [SY7866: $i] :
( ~ ( c_Objects_Ohext @ SY7866 @ SV882 )
| ~ ( c_WellTypeRT_OWTrt @ SV442 @ SY7866 @ SV1305 @ SY7864 @ SY7865 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2599]) ).
thf(3038,plain,
! [SV1306: $i,SV883: $i,SV443: $i] :
( ( ! [SY7867: $i,SY7868: $i,SY7869: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV443 @ SY7867 @ SY7868 @ SY7869 @ SV1306 )
| ! [SY6550: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SY7867 @ SY7868 @ SY6550 @ SV883 )
| ! [SY6551: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SY7867 @ SY7868 @ SY6551 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SY7867 @ SY7868 @ ( c_Expr_Oexp_OCond @ SY6551 @ SY6550 @ SY7869 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2600]) ).
thf(3039,plain,
! [SV1307: $i,SV884: $i,SV444: $i] :
( ( ! [SY7872: $i,SY7873: $i,SY7874: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV444 @ SY7872 @ SY7873 @ SY7874 @ SV1307 )
| ! [SY7875: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SY7872 @ SY7873 @ SY7875 @ SV884 )
| ! [SY7876: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SY7872 @ SY7873 @ SY7876 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SY7872 @ SY7873 @ ( c_Expr_Oexp_OCond @ SY7876 @ SY7875 @ SY7874 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2601]) ).
thf(3040,plain,
! [SV885: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV885 ) @ v_T_092_060_094isub_0622____ ) ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ SV885 ) )
= $true )
| ( v_thesis____ = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2602]) ).
thf(3041,plain,
! [SV1308: $i,SV886: $i,SV445: $i] :
( ( ! [SY7877: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SY7877 @ tc_Type_Oty @ tc_Type_Oty )
| ! [SY7878: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SY7878 @ SY7877 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SY7878 @ tc_Type_Oty @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2603]) ).
thf(3042,plain,
! [SV1309: $i,SV887: $i,SV446: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV446 @ SV887 ) @ SV1309 @ SV1309 @ tc_Type_Oty @ tc_Type_Oty )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2604]) ).
thf(3043,plain,
! [SV889: $i,SV448: $i] :
( ( ( SV448 = SV889 )
= $true )
| ( ( ! [SY6562: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SY6562 ) @ SV448 ) @ SV889 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2606]) ).
thf(3044,plain,
! [SV449: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV449 ) @ v_T_092_060_094isub_0622____ ) )
= $false )
| ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ SV449 ) )
= $true )
| ( v_thesis____ = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2607]) ).
thf(3045,plain,
! [SV1310: $i,SV890: $i,SV450: $i,SV1: $i] :
( ( ! [SY7879: $i] :
( ( c_BigStep_Oeval @ SV1 @ ( c_Expr_Oexp_Othrow @ SV450 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV890 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1310 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7879 )
| ~ ( c_BigStep_Oeval @ SV1 @ SV450 @ SV890 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1310 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7879 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2608]) ).
thf(3046,plain,
! [SV451: $i,SV2: $i] :
( ( ( ( c_Value_Oval_OAddr @ SV2 )
= ( c_Value_Oval_OAddr @ SV451 ) )
= $false )
| ( ( SV2 = SV451 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2609]) ).
thf(3047,plain,
! [SV1311: $i,SV891: $i,SV452: $i,SV3: $i] :
( ( ! [SY7880: $i,SY7881: $i] :
( ( c_BigStep_Oeval @ SV3 @ ( c_Expr_Oexp_OWhile @ SV452 @ SV891 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1311 @ ( c_Expr_Oexp_Othrow @ SY7880 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7881 )
| ! [SY7882: $i] :
( ~ ( c_BigStep_Oeval @ SV3 @ SV891 @ SY7882 @ ( c_Expr_Oexp_Othrow @ SY7880 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7881 )
| ~ ( c_BigStep_Oeval @ SV3 @ SV452 @ SV1311 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7882 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2610]) ).
thf(3048,plain,
! [SV1312: $i,SV892: $i,SV453: $i,SV6: $i] :
( ( ! [SY7883: $i,SY7884: $i,SY7885: $i] :
( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1312 @ SY7883 @ SY7884 )
| ~ ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7885 @ SY7883 @ SY7884 )
| ! [SY7886: $i] :
( ! [SY6574: $i] :
~ ( c_BigStep_Oeval @ SV6 @ SV892 @ SY7886 @ ( c_Expr_Oexp_OVal @ SY6574 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7885 )
| ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SV1312 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7886 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2611]) ).
thf(3049,plain,
! [SV1313: $i,SV893: $i,SV454: $i,SV7: $i] :
( ( c_SmallStep_Oredp @ SV7 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV454 @ SV893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1313 @ SV454 @ SV1313 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2612]) ).
thf(3050,plain,
! [SV1314: $i,SV894: $i,SV455: $i,SV8: $i] :
( ( ! [SY7888: $i,SY7889: $i,SY7890: $i] :
( ( c_BigStep_Oeval @ SV8 @ ( c_Expr_Oexp_OCond @ SV455 @ SV894 @ SV1314 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7888 @ SY7889 @ SY7890 )
| ! [SY6580: $i] :
( ~ ( c_BigStep_Oeval @ SV8 @ SV894 @ SY6580 @ SY7889 @ SY7890 )
| ~ ( c_BigStep_Oeval @ SV8 @ SV455 @ SY7888 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6580 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2613]) ).
thf(3051,plain,
! [SV1315: $i,SV895: $i,SV456: $i,SV11: $i] :
( ( ! [SY7892: $i] : ( c_SmallStep_Oredp @ SV11 @ ( c_Expr_Oexp_OBlock @ SV456 @ SV895 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1315 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7892 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1315 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7892 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2614]) ).
thf(3052,plain,
! [SV1316: $i,SV896: $i,SV457: $i,SV12: $i] :
( ( ! [SY7893: $i,SY7894: $i] : ( c_SmallStep_Oredp @ SV12 @ ( c_Expr_Oexp_OBlock @ SV457 @ SV896 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV457 @ ( c_Expr_Oexp_OVal @ SV1316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY7893 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7894 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SY7893 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7894 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2615]) ).
thf(3053,plain,
! [SV1317: $i,SV897: $i,SV458: $i,SV13: $i] :
( ( ! [SY7895: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV13 @ SV458 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV897 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1317 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV897 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1317 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7895 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2616]) ).
thf(3054,plain,
! [SV1318: $i,SV898: $i,SV459: $i,SV14: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV14 @ SV459 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV14 @ SV898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1318 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2617]) ).
thf(3055,plain,
! [SV1319: $i,SV899: $i,SV460: $i,SV15: $i] :
( ( ! [SY7896: $i,SY7897: $i,SY7898: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SY7896 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7897 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SY7896 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7897 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY6593: $i] :
( ! [SY4859: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SY6593 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY4859 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7897 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6593 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7897 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2618]) ).
thf(3056,plain,
! [SV1320: $i,SV900: $i,SV461: $i,SV16: $i] :
( ( ! [SY7901: $i,SY7902: $i,SY7903: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV16 @ SV461 @ SV900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7901 @ SY7902 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7903 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY7904: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV461 @ SY7904 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7901 @ SY7902 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7903 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV16 @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7904 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7903 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2619]) ).
thf(3057,plain,
! [SV1321: $i,SV901: $i,SV462: $i,SV17: $i] :
( ( ! [SY7905: $i,SY7906: $i] :
( ( c_Expr_Oexp_OBlock @ SV17 @ SV462 @ SV901 @ SV1321 )
!= ( c_Expr_Oexp_OSeq @ SY7905 @ SY7906 @ SV1321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2620]) ).
thf(3058,plain,
! [SV1322: $i,SV902: $i,SV463: $i,SV18: $i] :
( ( ! [SY7907: $i] :
( ( c_Map_Omap__add @ SV18 @ ( c_Map_Omap__add @ SV463 @ SV902 @ SV1322 @ SY7907 ) @ SV1322 @ SY7907 )
= ( c_Map_Omap__add @ ( c_Map_Omap__add @ SV18 @ SV463 @ SV1322 @ SY7907 ) @ SV902 @ SV1322 @ SY7907 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2621]) ).
thf(3059,plain,
! [SV1323: $i,SV903: $i,SV464: $i,SV19: $i] :
( ( ! [SY7908: $i] :
( ( c_Expr_Oexp_Othrow @ SV19 @ SV464 )
!= ( c_Expr_Oexp_OCond @ SV903 @ SV1323 @ SY7908 @ SV464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2622]) ).
thf(3060,plain,
! [SV1324: $i,SV904: $i,SV465: $i,SV20: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV20 @ SV465 @ SV904 )
!= ( c_Expr_Oexp_Othrow @ SV1324 @ SV904 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2623]) ).
thf(3061,plain,
! [SV1325: $i,SV905: $i,SV466: $i,SV21: $i] :
( ( ! [SY7909: $i,SY7910: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV21 @ SV466 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV905 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7910 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV466 @ SV905 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7910 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2624]) ).
thf(3062,plain,
! [SV1326: $i,SV906: $i,SV467: $i,SV22: $i] :
( ( ! [SY7911: $i] :
( ( c_Expr_Oexp_OBlock @ SV22 @ SV467 @ SV906 @ SV1326 )
!= ( c_Expr_Oexp_Othrow @ SY7911 @ SV1326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2625]) ).
thf(3063,plain,
! [SV1327: $i,SV907: $i,SV468: $i,SV23: $i] :
( ( ( c_Expr_Oexp_OCast @ SV23 @ SV468 @ SV907 )
!= ( c_Expr_Oexp_Othrow @ SV1327 @ SV907 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2626]) ).
thf(3064,plain,
! [SV1328: $i,SV908: $i,SV469: $i,SV24: $i] :
( ( ! [SY7912: $i,SY7913: $i,SY7914: $i] :
( ( c_Expr_Oexp_OCond @ SV24 @ SV469 @ SV908 @ SV1328 )
!= ( c_Expr_Oexp_OBlock @ SY7912 @ SY7913 @ SY7914 @ SV1328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2627]) ).
thf(3065,plain,
! [SV1329: $i,SV909: $i,SV470: $i,SV25: $i] :
( ( ! [SY7915: $i] :
( ( c_Expr_Oexp_OWhile @ SV25 @ SV470 @ SV909 )
!= ( c_Expr_Oexp_OLAss @ SV1329 @ SY7915 @ SV909 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2628]) ).
thf(3066,plain,
! [SV1330: $i,SV910: $i,SV471: $i,SV26: $i] :
( ( ( c_Expr_Oexp_OCast @ SV26 @ SV471 @ SV910 )
!= ( c_Expr_Oexp_OVal @ SV1330 @ SV910 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2629]) ).
thf(3067,plain,
! [SV1331: $i,SV911: $i,SV472: $i,SV27: $i] :
( ( ! [SY7916: $i] :
( ( c_Expr_Oexp_OSeq @ SV27 @ SV472 @ SV911 )
!= ( c_Expr_Oexp_OLAss @ SV1331 @ SY7916 @ SV911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2630]) ).
thf(3068,plain,
! [SV1332: $i,SV912: $i,SV473: $i,SV28: $i] :
( ( ! [SY7917: $i,SY7918: $i] :
( ( c_Expr_Oexp_OWhile @ SV28 @ SV473 @ SV912 )
!= ( c_Expr_Oexp_OBlock @ SV1332 @ SY7917 @ SY7918 @ SV912 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2631]) ).
thf(3069,plain,
! [SV1333: $i,SV913: $i,SV474: $i,SV29: $i] :
( ( ! [SY7919: $i,SY7920: $i] :
( ( c_BigStep_Oeval @ SV29 @ ( c_Expr_Oexp_OSeq @ SV474 @ SV913 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1333 @ ( c_Expr_Oexp_Othrow @ SY7919 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7920 )
| ~ ( c_BigStep_Oeval @ SV29 @ SV474 @ SV1333 @ ( c_Expr_Oexp_Othrow @ SY7919 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7920 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2632]) ).
thf(3070,plain,
! [SV1334: $i,SV914: $i,SV475: $i,SV30: $i] :
( ( ! [SY7921: $i,SY7922: $i,SY7923: $i] :
( ( c_Expr_Oexp_OBlock @ SV30 @ SV475 @ SV914 @ SV1334 )
!= ( c_Expr_Oexp_OCond @ SY7921 @ SY7922 @ SY7923 @ SV1334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2633]) ).
thf(3071,plain,
! [SV1335: $i,SV915: $i,SV476: $i,SV31: $i] :
( ( ! [SY7924: $i,SY7925: $i] :
( ( c_Expr_Oexp_OCast @ SV31 @ SV476 @ SV915 )
!= ( c_Expr_Oexp_OBlock @ SV1335 @ SY7924 @ SY7925 @ SV915 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2634]) ).
thf(3072,plain,
! [SV1336: $i,SV916: $i,SV477: $i,SV32: $i] :
( ( ( ( c_Map_Omap__add @ SV32 @ SV477 @ SV916 @ SV1336 )
= ( c_Map_Omap__add @ SV477 @ SV32 @ SV916 @ SV1336 ) )
| ~ ( c_Map_Omap__le @ SV32 @ ( c_Map_Omap__add @ SV32 @ SV477 @ SV916 @ SV1336 ) @ SV916 @ SV1336 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2635]) ).
thf(3073,plain,
! [SV1337: $i,SV917: $i,SV478: $i,SV33: $i] :
( ( ( ( c_Map_Omap__add @ SV33 @ SV478 @ SV917 @ SV1337 )
!= ( c_Map_Omap__add @ SV478 @ SV33 @ SV917 @ SV1337 ) )
| ( c_Map_Omap__le @ SV33 @ ( c_Map_Omap__add @ SV33 @ SV478 @ SV917 @ SV1337 ) @ SV917 @ SV1337 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2636]) ).
thf(3074,plain,
! [SV1338: $i,SV918: $i,SV479: $i,SV34: $i] :
( ( ! [SY7926: $i,SY7927: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV34 @ SV479 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1338 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7926 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7927 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV479 @ SV918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1338 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7926 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7927 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2637]) ).
thf(3075,plain,
! [SV1339: $i,SV919: $i,SV480: $i,SV35: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV35 @ ( c_Expr_Oexp_Othrow @ SV480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV919 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV919 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1339 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2638]) ).
thf(3076,plain,
! [SV1340: $i,SV920: $i,SV481: $i,SV36: $i] :
( ( ! [SY7928: $i,SY7929: $i] :
( ( c_Expr_Oexp_OCall @ SV36 @ SV481 @ SV920 @ SV1340 )
!= ( c_Expr_Oexp_OLAss @ SY7928 @ SY7929 @ SV1340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2639]) ).
thf(3077,plain,
! [SV1341: $i,SV921: $i,SV482: $i,SV37: $i] :
( ( ! [SY7930: $i,SY7931: $i,SY7932: $i] :
( ( c_SmallStep_Oredp @ SV37 @ ( c_Expr_Oexp_OCall @ SV482 @ SV921 @ SV1341 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7930 @ ( c_Expr_Oexp_OCall @ SY7931 @ SV921 @ SV1341 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7932 )
| ~ ( c_SmallStep_Oredp @ SV37 @ SV482 @ SY7930 @ SY7931 @ SY7932 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2640]) ).
thf(3078,plain,
! [SV1342: $i,SV922: $i,SV483: $i,SV38: $i] :
( ( ! [SY7933: $i,SY7934: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV38 @ SV483 @ SV922 @ SV1342 @ SY7933 )
!= ( c_Expr_Oexp_Othrow @ SY7934 @ SY7933 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2641]) ).
thf(3079,plain,
! [SV1343: $i,SV923: $i,SV484: $i,SV39: $i] :
( ( ! [SY7935: $i,SY7936: $i,SY7937: $i] :
( ( c_Expr_Oexp_OCast @ SV39 @ SV484 @ SV923 )
!= ( c_Expr_Oexp_OTryCatch @ SV1343 @ SY7935 @ SY7936 @ SY7937 @ SV923 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2642]) ).
thf(3080,plain,
! [SV1344: $i,SV924: $i,SV485: $i,SV40: $i] :
( ( ! [SY7938: $i,SY7939: $i] :
( ( c_SmallStep_Oredp @ SV40 @ ( c_Expr_Oexp_OLAss @ SV485 @ SV924 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1344 @ ( c_Expr_Oexp_OLAss @ SV485 @ SY7938 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7939 )
| ~ ( c_SmallStep_Oredp @ SV40 @ SV924 @ SV1344 @ SY7938 @ SY7939 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2643]) ).
thf(3081,plain,
! [SV1345: $i,SV925: $i,SV486: $i,SV41: $i] :
( ( ! [SY7940: $i,SY7941: $i,SY7942: $i,SY7943: $i] :
( ( c_Expr_Oexp_OFAss @ SV41 @ SV486 @ SV925 @ SV1345 @ SY7940 )
!= ( c_Expr_Oexp_OCall @ SY7941 @ SY7942 @ SY7943 @ SY7940 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2644]) ).
thf(3082,plain,
! [SV1346: $i,SV926: $i,SV487: $i,SV42: $i] :
( ( ! [SY7944: $i] :
( ( c_BigStep_Oeval @ SV42 @ ( c_Expr_Oexp_Othrow @ SV487 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV926 @ ( c_Expr_Oexp_Othrow @ SV1346 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7944 )
| ~ ( c_BigStep_Oeval @ SV42 @ SV487 @ SV926 @ ( c_Expr_Oexp_Othrow @ SV1346 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7944 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2645]) ).
thf(3083,plain,
! [SV1347: $i,SV927: $i,SV488: $i,SV43: $i] :
( ( ! [SY7945: $i,SY7946: $i] :
( ( c_Expr_Oexp_OCast @ SV43 @ SV488 @ SV927 )
!= ( c_Expr_Oexp_OCond @ SV1347 @ SY7945 @ SY7946 @ SV927 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2646]) ).
thf(3084,plain,
! [SV1348: $i,SV928: $i,SV489: $i,SV44: $i] :
( ( ! [SY7947: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV44 @ SV489 @ SV928 )
!= ( c_Expr_Oexp_OLAss @ SV1348 @ SY7947 @ SV928 ) )
| ( SV489 = SY7947 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2647]) ).
thf(3085,plain,
! [SV1349: $i,SV929: $i,SV490: $i,SV45: $i] :
( ( ! [SY7948: $i] :
( ( c_Expr_Oexp_OLAss @ SV45 @ SV490 @ SV929 )
!= ( c_Expr_Oexp_OLAss @ SV1349 @ SY7948 @ SV929 ) )
| ( SV45 = SV1349 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2648]) ).
thf(3086,plain,
! [SV1350: $i,SV930: $i,SV491: $i,SV46: $i] :
( ( ! [SY7949: $i,SY7950: $i] :
( ( c_Expr_Oexp_OLAss @ SV46 @ SV491 @ SV930 )
!= ( c_Expr_Oexp_OCond @ SV1350 @ SY7949 @ SY7950 @ SV930 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2649]) ).
thf(3087,plain,
! [SV1351: $i,SV931: $i,SV492: $i,SV47: $i] :
( ( ! [SY7951: $i,SY7952: $i,SY7953: $i] :
( ( c_Expr_Oexp_OFAss @ SV47 @ SV492 @ SV931 @ SV1351 @ SY7951 )
!= ( c_Expr_Oexp_OCast @ SY7952 @ SY7953 @ SY7951 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2650]) ).
thf(3088,plain,
! [SV1352: $i,SV932: $i,SV493: $i,SV48: $i] :
( ( ! [SY7954: $i,SY7955: $i,SY7956: $i,SY7957: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV48 @ SV493 @ SV932 @ SV1352 @ SY7954 )
!= ( c_Expr_Oexp_OBlock @ SY7955 @ SY7956 @ SY7957 @ SY7954 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2651]) ).
thf(3089,plain,
! [SV1353: $i,SV933: $i,SV494: $i,SV49: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV49 @ SV494 @ SV933 )
!= ( c_Expr_Oexp_Othrow @ SV1353 @ SV933 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2652]) ).
thf(3090,plain,
! [SV1354: $i,SV934: $i,SV495: $i,SV50: $i] :
( ( ! [SY7958: $i] :
( ( c_Expr_Oexp_OBinOp @ SV50 @ SV495 @ SV934 @ SV1354 )
!= ( c_Expr_Oexp_Othrow @ SY7958 @ SV1354 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2653]) ).
thf(3091,plain,
! [SV1355: $i,SV935: $i,SV496: $i,SV51: $i] :
( ( ! [SY7959: $i,SY7960: $i,SY7961: $i] :
( ( c_Expr_Oexp_OFAcc @ SV51 @ SV496 @ SV935 @ SV1355 )
!= ( c_Expr_Oexp_OCall @ SY7959 @ SY7960 @ SY7961 @ SV1355 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2654]) ).
thf(3092,plain,
! [SV1356: $i,SV936: $i,SV497: $i,SV52: $i] :
( ( ! [SY7962: $i,SY7963: $i,SY7964: $i,SY7965: $i] :
( ( c_BigStep_Oeval @ SV52 @ ( c_Expr_Oexp_OFAss @ SV497 @ SV936 @ SV1356 @ SY7962 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7963 @ ( c_Expr_Oexp_Othrow @ SY7964 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7965 )
| ~ ( c_BigStep_Oeval @ SV52 @ SV497 @ SY7963 @ ( c_Expr_Oexp_Othrow @ SY7964 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7965 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2655]) ).
thf(3093,plain,
! [SV1357: $i,SV937: $i,SV498: $i,SV53: $i] :
( ( ! [SY7966: $i,SY7967: $i] :
( ( c_Expr_Oexp_OFAcc @ SV53 @ SV498 @ SV937 @ SV1357 )
!= ( c_Expr_Oexp_OCast @ SY7966 @ SY7967 @ SV1357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2656]) ).
thf(3094,plain,
! [SV1358: $i,SV938: $i,SV499: $i,SV54: $i] :
( ( ! [SY7968: $i,SY7969: $i] :
( ( c_Expr_Oexp_OSeq @ SV54 @ SV499 @ SV938 )
!= ( c_Expr_Oexp_OBlock @ SV1358 @ SY7968 @ SY7969 @ SV938 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2657]) ).
thf(3095,plain,
! [SV1359: $i,SV939: $i,SV500: $i,SV55: $i] :
( ( c_SmallStep_Oredp @ SV55 @ ( c_Expr_Oexp_OLAss @ SV500 @ ( c_Expr_Oexp_Othrow @ SV939 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1359 @ ( c_Expr_Oexp_Othrow @ SV939 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1359 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2658]) ).
thf(3096,plain,
! [SV1360: $i,SV940: $i,SV501: $i,SV56: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV56 @ SV501 )
!= ( c_Expr_Oexp_OLAss @ SV940 @ SV1360 @ SV501 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2659]) ).
thf(3097,plain,
! [SV1361: $i,SV941: $i,SV502: $i,SV57: $i] :
( ( ! [SY7970: $i,SY7971: $i,SY7972: $i] :
( ( c_Expr_Oexp_OBinOp @ SV57 @ SV502 @ SV941 @ SV1361 )
!= ( c_Expr_Oexp_OBlock @ SY7970 @ SY7971 @ SY7972 @ SV1361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2660]) ).
thf(3098,plain,
! [SV1362: $i,SV942: $i,SV503: $i,SV58: $i] :
( ( ! [SY7973: $i,SY7974: $i] :
( ( c_SmallStep_Oredp @ SV58 @ ( c_Expr_Oexp_OCast @ SV503 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1362 @ ( c_Expr_Oexp_OCast @ SV503 @ SY7973 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7974 )
| ~ ( c_SmallStep_Oredp @ SV58 @ SV942 @ SV1362 @ SY7973 @ SY7974 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2661]) ).
thf(3099,plain,
! [SV1363: $i,SV943: $i,SV504: $i,SV59: $i] :
( ( ! [SY7975: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ SV1363 @ SY7975 @ SV504 @ SV943 )
| ! [SY7976: $i,SY7977: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ ( c_List_Olist_OCons @ SY7976 @ SV1363 @ SV504 ) @ ( c_List_Olist_OCons @ SY7977 @ SY7975 @ SV943 ) @ SV504 @ SV943 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2662]) ).
thf(3100,plain,
! [SV1364: $i,SV944: $i,SV505: $i,SV60: $i] :
( ( ! [SY7978: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ SV60 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV505 @ SV944 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1364 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV60 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1364 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY7978 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2663]) ).
thf(3101,plain,
! [SV1365: $i,SV945: $i,SV506: $i,SV61: $i] :
( ( ! [SY7979: $i,SY7980: $i,SY7981: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV61 @ SV506 @ SV945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1365 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7979 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7980 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7981 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV61 @ SV1365 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY7979 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7980 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY7981 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2664]) ).
thf(3102,plain,
! [SV1366: $i,SV946: $i,SV507: $i,SV62: $i] :
( ( ! [SY7982: $i,SY7983: $i,SY7984: $i] :
( ( c_BigStep_Oeval @ SV62 @ ( c_Expr_Oexp_OFAcc @ SV507 @ SV946 @ SV1366 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7982 @ ( c_Expr_Oexp_Othrow @ SY7983 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7984 )
| ~ ( c_BigStep_Oeval @ SV62 @ SV507 @ SY7982 @ ( c_Expr_Oexp_Othrow @ SY7983 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7984 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2665]) ).
thf(3103,plain,
! [SV947: $i,SV508: $i,SV63: $i] :
( ( ( c_Expr_Oexp_OVal @ SV63 @ SV508 )
= ( c_Expr_Oexp_Othrow @ SV947 @ SV508 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2666]) ).
thf(3104,plain,
! [SV1367: $i,SV948: $i,SV509: $i,SV64: $i] :
( ( ! [SY7985: $i,SY7986: $i] :
( ( c_Expr_Oexp_OBlock @ SV64 @ SV509 @ SV948 @ SV1367 )
!= ( c_Expr_Oexp_OLAss @ SY7985 @ SY7986 @ SV1367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2667]) ).
thf(3105,plain,
! [SV1368: $i,SV949: $i,SV510: $i,SV65: $i] :
( ( ! [SY7987: $i] :
( ( c_Expr_Oexp_OVal @ SV65 @ SV510 )
!= ( c_Expr_Oexp_OCall @ SV949 @ SV1368 @ SY7987 @ SV510 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2668]) ).
thf(3106,plain,
! [SV1369: $i,SV950: $i,SV511: $i,SV66: $i] :
( ( ! [SY7988: $i,SY7989: $i,SY7990: $i,SY7991: $i] :
( ( c_Expr_Oexp_OCall @ SV66 @ SV511 @ SV950 @ SV1369 )
!= ( c_Expr_Oexp_OTryCatch @ SY7988 @ SY7989 @ SY7990 @ SY7991 @ SV1369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2669]) ).
thf(3107,plain,
! [SV1370: $i,SV951: $i,SV512: $i,SV67: $i] :
( ( ! [SY7992: $i] :
( ( c_Expr_Oexp_OCast @ SV67 @ SV512 @ SV951 )
!= ( c_Expr_Oexp_OSeq @ SV1370 @ SY7992 @ SV951 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2670]) ).
thf(3108,plain,
! [SV1371: $i,SV952: $i,SV513: $i,SV68: $i] :
( ( ! [SY7993: $i] :
( ( c_Expr_Oexp_OVal @ SV68 @ SV513 )
!= ( c_Expr_Oexp_OBlock @ SV952 @ SV1371 @ SY7993 @ SV513 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2671]) ).
thf(3109,plain,
! [SV1372: $i,SV953: $i,SV514: $i,SV69: $i] :
( ( ( c_Expr_Oexp_OVal @ SV69 @ SV514 )
!= ( c_Expr_Oexp_OCast @ SV953 @ SV1372 @ SV514 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2672]) ).
thf(3110,plain,
! [SV1373: $i,SV954: $i,SV515: $i,SV70: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV70 @ SV515 )
!= ( c_Expr_Oexp_OWhile @ SV954 @ SV1373 @ SV515 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2673]) ).
thf(3111,plain,
! [SV1374: $i,SV955: $i,SV516: $i,SV71: $i] :
( ( ! [SY7994: $i,SY7995: $i,SY7996: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV71 @ SV516 @ SV955 @ SV1374 )
!= ( c_Expr_Oexp_OBlock @ SY7994 @ SY7995 @ SY7996 @ SV1374 ) )
| ( SV955 = SY7996 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2674]) ).
thf(3112,plain,
! [SV1375: $i,SV956: $i,SV517: $i,SV72: $i] :
( ( ! [SY7997: $i,SY7998: $i] :
( ! [SY7999: $i] :
( ( c_Expr_Oexp_OBlock @ SV72 @ SV517 @ SV956 @ SV1375 )
!= ( c_Expr_Oexp_OBlock @ SY7997 @ SY7998 @ SY7999 @ SV1375 ) )
| ( SV517 = SY7998 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2675]) ).
thf(3113,plain,
! [SV1376: $i,SV957: $i,SV518: $i,SV73: $i] :
( ( ! [SY8000: $i] :
( ! [SY8001: $i,SY8002: $i] :
( ( c_Expr_Oexp_OBlock @ SV73 @ SV518 @ SV957 @ SV1376 )
!= ( c_Expr_Oexp_OBlock @ SY8000 @ SY8001 @ SY8002 @ SV1376 ) )
| ( SV73 = SY8000 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2676]) ).
thf(3114,plain,
! [SV1377: $i,SV958: $i,SV519: $i,SV74: $i] :
( ( ! [SY8003: $i] :
( ( c_Expr_Oexp_OCast @ SV74 @ SV519 @ SV958 )
!= ( c_Expr_Oexp_OLAss @ SV1377 @ SY8003 @ SV958 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2677]) ).
thf(3115,plain,
! [SV1378: $i,SV959: $i,SV520: $i,SV75: $i] :
( ( ! [SY8004: $i,SY8005: $i,SY8006: $i,SY8007: $i] :
( ( c_Expr_Oexp_OBlock @ SV75 @ SV520 @ SV959 @ SV1378 )
!= ( c_Expr_Oexp_OTryCatch @ SY8004 @ SY8005 @ SY8006 @ SY8007 @ SV1378 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2678]) ).
thf(3116,plain,
! [SV1379: $i,SV960: $i,SV521: $i,SV76: $i] :
( ( ( SV76
= ( c_Type_Oty_OClass @ SV521 ) )
| ! [SY8008: $i,SY8009: $i] :
~ ( c_WellTypeRT_OWTrt @ SV960 @ SV1379 @ SY8008 @ ( c_Expr_Oexp_OCast @ SV521 @ SY8009 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2679]) ).
thf(3117,plain,
! [SV1380: $i,SV961: $i,SV522: $i,SV77: $i] :
( ( ! [SY8010: $i,SY8011: $i] :
( ( c_Expr_Oexp_OCond @ SV77 @ SV522 @ SV961 @ SV1380 )
!= ( c_Expr_Oexp_OLAss @ SY8010 @ SY8011 @ SV1380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2680]) ).
thf(3118,plain,
! [SV1381: $i,SV962: $i,SV523: $i,SV78: $i] :
( ( ! [SY8012: $i,SY8013: $i,SY8014: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV78 @ SV523 @ SV962 @ SV1381 @ SY8012 )
!= ( c_Expr_Oexp_OLAss @ SY8013 @ SY8014 @ SY8012 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2681]) ).
thf(3119,plain,
! [SV1382: $i,SV963: $i,SV524: $i,SV79: $i] :
( ( ! [SY8015: $i,SY8016: $i] :
( ( c_Expr_Oexp_OWhile @ SV79 @ SV524 @ SV963 )
!= ( c_Expr_Oexp_OCall @ SV1382 @ SY8015 @ SY8016 @ SV963 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2682]) ).
thf(3120,plain,
! [SV1383: $i,SV964: $i,SV525: $i,SV80: $i] :
( ( ! [SY8017: $i,SY8018: $i] : ( c_SmallStep_Oredp @ SV80 @ ( c_Expr_Oexp_OBlock @ SV525 @ SV964 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV525 @ ( c_Expr_Oexp_OVal @ SV1383 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ SY8017 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8018 @ ( c_Expr_Oexp_OVal @ SY8017 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8018 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2683]) ).
thf(3121,plain,
! [SV1384: $i,SV965: $i,SV526: $i,SV81: $i] :
( ( ( c_Decl_Ois__class @ SV81 @ SV526 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY8019: $i,SY8020: $i] :
~ ( c_WellTypeRT_OWTrt @ SV81 @ SV965 @ SV1384 @ ( c_Expr_Oexp_OCast @ SV526 @ SY8019 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8020 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2684]) ).
thf(3122,plain,
! [SV1385: $i,SV966: $i,SV527: $i,SV82: $i] :
( ( ! [SY8021: $i,SY8022: $i] :
( ( c_Expr_Oexp_OSeq @ SV82 @ SV527 @ SV966 )
!= ( c_Expr_Oexp_OCall @ SV1385 @ SY8021 @ SY8022 @ SV966 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2685]) ).
thf(3123,plain,
! [SV1386: $i,SV967: $i,SV528: $i,SV83: $i] :
( ( ! [SY8023: $i,SY8024: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV83 @ SV528 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV83 @ ( c_Expr_Oexp_OVal @ SV967 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1386 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8023 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1386 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8023 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8024 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2686]) ).
thf(3124,plain,
! [SV1387: $i,SV968: $i,SV529: $i,SV84: $i] :
( ( ! [SY8025: $i,SY8026: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV84 @ SV529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8025 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8026 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY8027: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV529 @ SY8027 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8025 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8026 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV84 @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8027 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8026 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2687]) ).
thf(3125,plain,
! [SV1388: $i,SV969: $i,SV530: $i,SV85: $i] :
( ( ! [SY8028: $i] :
( ( c_Expr_Oexp_OCond @ SV85 @ SV530 @ SV969 @ SV1388 )
!= ( c_Expr_Oexp_Othrow @ SY8028 @ SV1388 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2688]) ).
thf(3126,plain,
! [SV1389: $i,SV970: $i,SV531: $i,SV86: $i] :
( ( ! [SY8029: $i,SY8030: $i] :
( ( c_Expr_Oexp_OLAss @ SV86 @ SV531 @ SV970 )
!= ( c_Expr_Oexp_OBlock @ SV1389 @ SY8029 @ SY8030 @ SV970 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2689]) ).
thf(3127,plain,
! [SV1390: $i,SV971: $i,SV532: $i,SV87: $i] :
( ( ! [SY8031: $i,SY8032: $i] :
( ( c_Expr_Oexp_OCast @ SV87 @ SV532 @ SV971 )
!= ( c_Expr_Oexp_OBinOp @ SV1390 @ SY8031 @ SY8032 @ SV971 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2690]) ).
thf(3128,plain,
! [SV972: $i,SV533: $i,SV88: $i] :
( ( ( c_Decl_Ois__class @ SV88 @ SV533 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $true )
| ( ( ! [SY6798: $i,SY6799: $i] :
~ ( c_WellType_OWT @ SV88 @ SV972 @ ( c_Expr_Oexp_OCast @ SV533 @ SY6798 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6799 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2691]) ).
thf(3129,plain,
! [SV1391: $i,SV973: $i,SV534: $i,SV89: $i] :
( ( ! [SY8033: $i,SY8034: $i,SY8035: $i] :
( ( c_Expr_Oexp_OBlock @ SV89 @ SV534 @ SV973 @ SV1391 )
!= ( c_Expr_Oexp_OBinOp @ SY8033 @ SY8034 @ SY8035 @ SV1391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2692]) ).
thf(3130,plain,
! [SV1392: $i,SV974: $i,SV535: $i,SV90: $i] :
( ( ! [SY8036: $i] :
( ( c_BigStep_Oeval @ SV90 @ ( c_Expr_Oexp_OWhile @ SV535 @ SV974 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1392 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8036 )
| ~ ( c_BigStep_Oeval @ SV90 @ SV535 @ SV1392 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8036 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2693]) ).
thf(3131,plain,
! [SV1393: $i,SV975: $i,SV536: $i,SV91: $i] :
( ( ( c_Expr_Oexp_OVal @ SV91 @ SV536 )
!= ( c_Expr_Oexp_OLAss @ SV975 @ SV1393 @ SV536 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2694]) ).
thf(3132,plain,
! [SV976: $i,SV537: $i,SV92: $i] :
( ( ( SV92
= ( c_Type_Oty_OClass @ SV537 ) )
= $true )
| ( ( ! [SY6807: $i,SY6808: $i] :
~ ( c_WellType_OWT @ SV976 @ SY6807 @ ( c_Expr_Oexp_OCast @ SV537 @ SY6808 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2695]) ).
thf(3133,plain,
! [SV1394: $i,SV978: $i,SV539: $i,SV94: $i] :
( ( ! [SY8037: $i,SY8038: $i,SY8039: $i] :
( ( c_BigStep_Oeval @ SV94 @ ( c_Expr_Oexp_OCall @ SV539 @ SV978 @ SV1394 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8037 @ ( c_Expr_Oexp_Othrow @ SY8038 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8039 )
| ~ ( c_BigStep_Oeval @ SV94 @ SV539 @ SY8037 @ ( c_Expr_Oexp_Othrow @ SY8038 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8039 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2697]) ).
thf(3134,plain,
! [SV1395: $i,SV979: $i,SV540: $i,SV95: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV95 @ SV540 @ SV979 )
!= ( c_Expr_Oexp_Othrow @ SV1395 @ SV979 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2698]) ).
thf(3135,plain,
! [SV1396: $i,SV980: $i,SV541: $i,SV96: $i] :
( ( ! [SY8040: $i,SY8041: $i] :
( ( c_Expr_Oexp_OBinOp @ SV96 @ SV541 @ SV980 @ SV1396 )
!= ( c_Expr_Oexp_OCast @ SY8040 @ SY8041 @ SV1396 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2699]) ).
thf(3136,plain,
! [SV1397: $i,SV981: $i,SV542: $i,SV97: $i] :
( ( ( c_Map_Omap__le @ SV97 @ SV542 @ SV981 @ SV1397 )
| ! [SY8042: $i] :
~ ( c_Map_Omap__le @ ( c_Map_Omap__add @ SY8042 @ SV97 @ SV981 @ SV1397 ) @ SV542 @ SV981 @ SV1397 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2700]) ).
thf(3137,plain,
! [SV1398: $i,SV982: $i,SV543: $i,SV98: $i] :
( ( ! [SY8043: $i] :
( ( c_Expr_Oexp_OLAss @ SV98 @ SV543 @ SV982 )
!= ( c_Expr_Oexp_OSeq @ SV1398 @ SY8043 @ SV982 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2701]) ).
thf(3138,plain,
! [SV1399: $i,SV983: $i,SV544: $i,SV99: $i] :
( ( ! [SY8044: $i] : ( c_SmallStep_Oredp @ SV99 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ SV544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV983 @ SV1399 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8044 @ ( c_Expr_Oexp_Othrow @ SV544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8044 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2702]) ).
thf(3139,plain,
! [SV1400: $i,SV984: $i,SV545: $i,SV100: $i] :
( ( ! [SY8045: $i,SY8046: $i,SY8047: $i] :
( ( c_Expr_Oexp_OBinOp @ SV100 @ SV545 @ SV984 @ SV1400 )
!= ( c_Expr_Oexp_OCall @ SY8045 @ SY8046 @ SY8047 @ SV1400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2703]) ).
thf(3140,plain,
! [SV1401: $i,SV985: $i,SV546: $i,SV101: $i] :
( ( ! [SY8048: $i,SY8049: $i] :
( ( c_Expr_Oexp_OLAss @ SV101 @ SV546 @ SV985 )
!= ( c_Expr_Oexp_OBinOp @ SV1401 @ SY8048 @ SY8049 @ SV985 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2704]) ).
thf(3141,plain,
! [SV1402: $i,SV986: $i,SV547: $i,SV102: $i] :
( ( ! [SY8050: $i,SY8051: $i,SY8052: $i] :
( ( c_Expr_Oexp_OCall @ SV102 @ SV547 @ SV986 @ SV1402 )
!= ( c_Expr_Oexp_OCond @ SY8050 @ SY8051 @ SY8052 @ SV1402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2705]) ).
thf(3142,plain,
! [SV1403: $i,SV987: $i,SV548: $i,SV103: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV103 @ ( c_Expr_Oexp_Othrow @ SV548 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV987 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV548 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV987 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1403 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2706]) ).
thf(3143,plain,
! [SV1404: $i,SV988: $i,SV549: $i,SV104: $i] :
( ( ! [SY8053: $i,SY8054: $i,SY8055: $i] :
( ( c_Expr_Oexp_OCall @ SV104 @ SV549 @ SV988 @ SV1404 )
!= ( c_Expr_Oexp_OBlock @ SY8053 @ SY8054 @ SY8055 @ SV1404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2707]) ).
thf(3144,plain,
! [SV1405: $i,SV989: $i,SV550: $i,SV105: $i] :
( ( ! [SY8056: $i] : ( c_SmallStep_Oredp @ SV105 @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ SV550 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV989 @ SV1405 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8056 @ ( c_Expr_Oexp_Othrow @ SV550 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8056 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2708]) ).
thf(3145,plain,
! [SV1406: $i,SV990: $i,SV551: $i,SV106: $i] :
( ( ! [SY8057: $i,SY8058: $i,SY8059: $i] :
( ( c_BigStep_Oeval @ SV106 @ ( c_Expr_Oexp_OCond @ SV551 @ SV990 @ SV1406 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8057 @ SY8058 @ SY8059 )
| ! [SY8060: $i] :
( ~ ( c_BigStep_Oeval @ SV106 @ SV1406 @ SY8060 @ SY8058 @ SY8059 )
| ~ ( c_BigStep_Oeval @ SV106 @ SV551 @ SY8057 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8060 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2709]) ).
thf(3146,plain,
! [SV1407: $i,SV991: $i,SV552: $i,SV107: $i] :
( ( ! [SY8061: $i,SY8062: $i] :
( ( c_Expr_Oexp_OCall @ SV107 @ SV552 @ SV991 @ SV1407 )
!= ( c_Expr_Oexp_OSeq @ SY8061 @ SY8062 @ SV1407 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2710]) ).
thf(3147,plain,
! [SV992: $i,SV553: $i,SV108: $i] :
( ( ( ( c_Expr_Oexp_Othrow @ SV108 @ SV553 )
!= ( c_Expr_Oexp_Othrow @ SV992 @ SV553 ) )
= $true )
| ( ( SV108 = SV992 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2711]) ).
thf(3148,plain,
! [SV1408: $i,SV993: $i,SV554: $i,SV109: $i] :
( ( ! [SY8063: $i,SY8064: $i] :
( ( c_Expr_Oexp_OFAcc @ SV109 @ SV554 @ SV993 @ SV1408 )
!= ( c_Expr_Oexp_OLAss @ SY8063 @ SY8064 @ SV1408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2712]) ).
thf(3149,plain,
! [SV1409: $i,SV994: $i,SV555: $i,SV110: $i] :
( ( ! [SY8065: $i,SY8066: $i,SY8067: $i] :
( ( c_Expr_Oexp_OLAss @ SV110 @ SV555 @ SV994 )
!= ( c_Expr_Oexp_OFAss @ SV1409 @ SY8065 @ SY8066 @ SY8067 @ SV994 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2713]) ).
thf(3150,plain,
! [SV1410: $i,SV995: $i,SV556: $i,SV111: $i] :
( ( ! [SY8068: $i,SY8069: $i] :
( ( c_BigStep_Oeval @ SV111 @ ( c_Expr_Oexp_OLAss @ SV556 @ SV995 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1410 @ ( c_Expr_Oexp_Othrow @ SY8068 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8069 )
| ~ ( c_BigStep_Oeval @ SV111 @ SV995 @ SV1410 @ ( c_Expr_Oexp_Othrow @ SY8068 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8069 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2714]) ).
thf(3151,plain,
! [SV1411: $i,SV996: $i,SV557: $i,SV112: $i] :
( ( ! [SY8070: $i] :
( ( c_Expr_Oexp_OCall @ SV112 @ SV557 @ SV996 @ SV1411 )
!= ( c_Expr_Oexp_Othrow @ SY8070 @ SV1411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2715]) ).
thf(3152,plain,
! [SV1412: $i,SV997: $i,SV558: $i,SV113: $i] :
( ( ! [SY8071: $i,SY8072: $i,SY8073: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV113 @ SV558 @ SV997 @ SV1412 @ SY8071 )
!= ( c_Expr_Oexp_OCast @ SY8072 @ SY8073 @ SY8071 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2716]) ).
thf(3153,plain,
! [SV1413: $i,SV998: $i,SV559: $i,SV114: $i] :
( ( ! [SY8074: $i,SY8075: $i,SY8076: $i] :
( ( c_Expr_Oexp_OCast @ SV114 @ SV559 @ SV998 )
!= ( c_Expr_Oexp_OFAss @ SV1413 @ SY8074 @ SY8075 @ SY8076 @ SV998 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2717]) ).
thf(3154,plain,
! [SV1414: $i,SV999: $i,SV560: $i,SV115: $i] :
( ( ! [SY8077: $i,SY8078: $i] :
( ( c_Expr_Oexp_OCond @ SV115 @ SV560 @ SV999 @ SV1414 )
!= ( c_Expr_Oexp_OCast @ SY8077 @ SY8078 @ SV1414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2718]) ).
thf(3155,plain,
! [SV1415: $i,SV1000: $i,SV561: $i,SV116: $i] :
( ( ! [SY8079: $i] :
( ( c_Expr_Oexp_OCast @ SV116 @ SV561 @ SV1000 )
!= ( c_Expr_Oexp_OWhile @ SV1415 @ SY8079 @ SV1000 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2719]) ).
thf(3156,plain,
! [SV1416: $i,SV1001: $i,SV562: $i,SV117: $i] :
( ( ! [SY8080: $i] :
( ( c_Expr_Oexp_OLAss @ SV117 @ SV562 @ SV1001 )
!= ( c_Expr_Oexp_OCast @ SV1416 @ SY8080 @ SV1001 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2720]) ).
thf(3157,plain,
! [SV1417: $i,SV1002: $i,SV563: $i,SV118: $i] :
( ( ! [SY8081: $i,SY8082: $i] :
( ( c_Expr_Oexp_OBlock @ SV118 @ SV563 @ SV1002 @ SV1417 )
!= ( c_Expr_Oexp_OWhile @ SY8081 @ SY8082 @ SV1417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2721]) ).
thf(3158,plain,
! [SV1418: $i,SV1003: $i,SV564: $i,SV119: $i] :
( ( ! [SY8083: $i,SY8084: $i,SY8085: $i,SY8086: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV119 @ SV564 @ SV1003 @ SV1418 @ SY8083 )
!= ( c_Expr_Oexp_OCall @ SY8084 @ SY8085 @ SY8086 @ SY8083 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2722]) ).
thf(3159,plain,
! [SV1419: $i,SV1004: $i,SV565: $i,SV120: $i] :
( ( ! [SY8087: $i,SY8088: $i,SY8089: $i] :
( ( c_Expr_Oexp_OCond @ SV120 @ SV565 @ SV1004 @ SV1419 )
!= ( c_Expr_Oexp_OCall @ SY8087 @ SY8088 @ SY8089 @ SV1419 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2723]) ).
thf(3160,plain,
! [SV1420: $i,SV1005: $i,SV566: $i,SV121: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV121 @ SV566 )
!= ( c_Expr_Oexp_OSeq @ SV1005 @ SV1420 @ SV566 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2724]) ).
thf(3161,plain,
! [SV1421: $i,SV1006: $i,SV567: $i,SV122: $i] :
( ( ! [SY8090: $i,SY8091: $i,SY8092: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV122 @ SV567 @ SV1006 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8090 @ SY8091 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8092 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY8093: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1006 @ SY8093 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8090 @ SY8091 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8092 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV122 @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8093 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8092 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2725]) ).
thf(3162,plain,
! [SV1422: $i,SV1007: $i,SV568: $i,SV123: $i] :
( ( ! [SY8094: $i,SY8095: $i,SY8096: $i] :
( ( c_Expr_Oexp_OFAss @ SV123 @ SV568 @ SV1007 @ SV1422 @ SY8094 )
!= ( c_Expr_Oexp_OLAss @ SY8095 @ SY8096 @ SY8094 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2726]) ).
thf(3163,plain,
! [SV1423: $i,SV1008: $i,SV569: $i,SV124: $i] :
( ( ! [SY8097: $i,SY8098: $i] :
( ( c_Expr_Oexp_OLAss @ SV124 @ SV569 @ SV1008 )
!= ( c_Expr_Oexp_OCall @ SV1423 @ SY8097 @ SY8098 @ SV1008 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2727]) ).
thf(3164,plain,
! [SV1424: $i,SV1009: $i,SV570: $i,SV125: $i] :
( ( ! [SY8099: $i,SY8100: $i] :
( ( c_Expr_Oexp_OLAss @ SV125 @ SV570 @ SV1009 )
!= ( c_Expr_Oexp_OFAcc @ SV1424 @ SY8099 @ SY8100 @ SV1009 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2728]) ).
thf(3165,plain,
! [SV1425: $i,SV1010: $i,SV571: $i,SV126: $i] :
( ( ! [SY8101: $i,SY8102: $i,SY8103: $i] :
( ( c_Expr_Oexp_OCall @ SV126 @ SV571 @ SV1010 @ SV1425 )
!= ( c_Expr_Oexp_OBinOp @ SY8101 @ SY8102 @ SY8103 @ SV1425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2729]) ).
thf(3166,plain,
! [SV1426: $i,SV1011: $i,SV572: $i,SV127: $i] :
( ( ! [SY8104: $i,SY8105: $i,SY8106: $i] :
( ( c_BigStep_Oeval @ SV127 @ ( c_Expr_Oexp_OCond @ SV572 @ SV1011 @ SV1426 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8104 @ ( c_Expr_Oexp_Othrow @ SY8105 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8106 )
| ~ ( c_BigStep_Oeval @ SV127 @ SV572 @ SY8104 @ ( c_Expr_Oexp_Othrow @ SY8105 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2730]) ).
thf(3167,plain,
! [SV1427: $i,SV1012: $i,SV573: $i,SV128: $i] :
( ( c_SmallStep_Oredp @ SV128 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ SV573 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1012 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1427 @ ( c_Expr_Oexp_Othrow @ SV573 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1427 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2731]) ).
thf(3168,plain,
! [SV1428: $i,SV1013: $i,SV574: $i,SV129: $i] :
( ( ! [SY8107: $i,SY8108: $i] :
( ( c_Expr_Oexp_OCast @ SV129 @ SV574 @ SV1013 )
!= ( c_Expr_Oexp_OCall @ SV1428 @ SY8107 @ SY8108 @ SV1013 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2732]) ).
thf(3169,plain,
! [SV1429: $i,SV1014: $i,SV575: $i,SV130: $i] :
( ( ! [SY8109: $i,SY8110: $i] :
( ( c_Expr_Oexp_OCast @ SV130 @ SV575 @ SV1014 )
!= ( c_Expr_Oexp_OFAcc @ SV1429 @ SY8109 @ SY8110 @ SV1014 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2733]) ).
thf(3170,plain,
! [SV1430: $i,SV1015: $i,SV576: $i,SV131: $i] :
( ( ! [SY8111: $i,SY8112: $i] :
( ( c_BigStep_Oeval @ SV131 @ ( c_Expr_Oexp_OWhile @ SV576 @ SV1015 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1430 @ ( c_Expr_Oexp_Othrow @ SY8111 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8112 )
| ~ ( c_BigStep_Oeval @ SV131 @ SV576 @ SV1430 @ ( c_Expr_Oexp_Othrow @ SY8111 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2734]) ).
thf(3171,plain,
! [SV1431: $i,SV1016: $i,SV577: $i,SV132: $i] :
( ( ! [SY8113: $i,SY8114: $i,SY8115: $i,SY8116: $i] :
( ( c_Expr_Oexp_OBlock @ SV132 @ SV577 @ SV1016 @ SV1431 )
!= ( c_Expr_Oexp_OFAss @ SY8113 @ SY8114 @ SY8115 @ SY8116 @ SV1431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2735]) ).
thf(3172,plain,
! [SV1432: $i,SV1017: $i,SV578: $i,SV133: $i] :
( ( ! [SY8117: $i,SY8118: $i] :
( ( c_Expr_Oexp_Othrow @ SV133 @ SV578 )
!= ( c_Expr_Oexp_OTryCatch @ SV1017 @ SV1432 @ SY8117 @ SY8118 @ SV578 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2736]) ).
thf(3173,plain,
! [SV1433: $i,SV1018: $i,SV579: $i,SV134: $i] :
( ( ! [SY8119: $i,SY8120: $i] :
( ( c_BigStep_Oeval @ SV134 @ ( c_Expr_Oexp_OCast @ SV579 @ SV1018 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1433 @ ( c_Expr_Oexp_Othrow @ SY8119 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8120 )
| ~ ( c_BigStep_Oeval @ SV134 @ SV1018 @ SV1433 @ ( c_Expr_Oexp_Othrow @ SY8119 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2737]) ).
thf(3174,plain,
! [SV1434: $i,SV1019: $i,SV580: $i,SV135: $i] :
( ( ! [SY8121: $i] :
( ( c_Expr_Oexp_OBlock @ SV135 @ SV580 @ SV1019 @ SV1434 )
!= ( c_Expr_Oexp_OVal @ SY8121 @ SV1434 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2738]) ).
thf(3175,plain,
! [SV1435: $i,SV1020: $i,SV581: $i,SV136: $i] :
( ( ! [SY8122: $i] : ( c_SmallStep_Oredp @ SV136 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1020 @ SV1435 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8122 @ ( c_Expr_Oexp_Othrow @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2739]) ).
thf(3176,plain,
! [SV1436: $i,SV1021: $i,SV582: $i,SV137: $i] :
( ( ! [SY8123: $i] :
( ! [SY8124: $i,SY8125: $i] :
( ( c_Expr_Oexp_OCall @ SV137 @ SV582 @ SV1021 @ SV1436 )
!= ( c_Expr_Oexp_OCall @ SY8123 @ SY8124 @ SY8125 @ SV1436 ) )
| ( SV137 = SY8123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2740]) ).
thf(3177,plain,
! [SV1437: $i,SV1022: $i,SV583: $i,SV138: $i] :
( ( ! [SY8126: $i,SY8127: $i] :
( ! [SY8128: $i] :
( ( c_Expr_Oexp_OCall @ SV138 @ SV583 @ SV1022 @ SV1437 )
!= ( c_Expr_Oexp_OCall @ SY8126 @ SY8127 @ SY8128 @ SV1437 ) )
| ( SV583 = SY8127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2741]) ).
thf(3178,plain,
! [SV1438: $i,SV1023: $i,SV584: $i,SV139: $i] :
( ( ! [SY8129: $i,SY8130: $i,SY8131: $i] :
( ( ( c_Expr_Oexp_OCall @ SV139 @ SV584 @ SV1023 @ SV1438 )
!= ( c_Expr_Oexp_OCall @ SY8129 @ SY8130 @ SY8131 @ SV1438 ) )
| ( SV1023 = SY8131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2742]) ).
thf(3179,plain,
! [SV1439: $i,SV1024: $i,SV585: $i,SV140: $i] :
( ( ! [SY8132: $i,SY8133: $i] :
( ( c_Expr_Oexp_OBlock @ SV140 @ SV585 @ SV1024 @ SV1439 )
!= ( c_Expr_Oexp_OCast @ SY8132 @ SY8133 @ SV1439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2743]) ).
thf(3180,plain,
! [SV1440: $i,SV1025: $i,SV586: $i,SV141: $i] :
( ( c_SmallStep_Oredp @ SV141 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV586 @ SV1025 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1440 @ SV1025 @ SV1440 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2744]) ).
thf(3181,plain,
! [SV1441: $i,SV1026: $i,SV587: $i,SV142: $i] :
( ( ! [SY8134: $i] :
( ( c_Expr_Oexp_OLAss @ SV142 @ SV587 @ SV1026 )
!= ( c_Expr_Oexp_OWhile @ SV1441 @ SY8134 @ SV1026 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2745]) ).
thf(3182,plain,
! [SV1442: $i,SV1027: $i,SV588: $i,SV143: $i] :
( ( ! [SY8135: $i,SY8136: $i] :
( ( c_Expr_Oexp_Othrow @ SV143 @ SV588 )
!= ( c_Expr_Oexp_OFAss @ SV1027 @ SV1442 @ SY8135 @ SY8136 @ SV588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2746]) ).
thf(3183,plain,
! [SV1443: $i,SV1028: $i,SV589: $i,SV144: $i] :
( ( ! [SY8137: $i,SY8138: $i,SY8139: $i] :
( ( c_Expr_Oexp_OBlock @ SV144 @ SV589 @ SV1028 @ SV1443 )
!= ( c_Expr_Oexp_OCall @ SY8137 @ SY8138 @ SY8139 @ SV1443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2747]) ).
thf(3184,plain,
! [SV1444: $i,SV1029: $i,SV590: $i,SV145: $i] :
( ( ! [SY8140: $i,SY8141: $i,SY8142: $i] :
( ( c_Expr_Oexp_OBlock @ SV145 @ SV590 @ SV1029 @ SV1444 )
!= ( c_Expr_Oexp_OFAcc @ SY8140 @ SY8141 @ SY8142 @ SV1444 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2748]) ).
thf(3185,plain,
! [SV1445: $i,SV1030: $i,SV591: $i,SV146: $i] :
( ( ! [SY8143: $i] :
( ( c_Expr_Oexp_Othrow @ SV146 @ SV591 )
!= ( c_Expr_Oexp_OBlock @ SV1030 @ SV1445 @ SY8143 @ SV591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2749]) ).
thf(3186,plain,
! [SV1446: $i,SV1031: $i,SV592: $i,SV147: $i] :
( ( ! [SY8144: $i] : ( c_SmallStep_Oredp @ SV147 @ ( c_Expr_Oexp_OBlock @ SV592 @ SV1031 @ ( c_Expr_Oexp_OVal @ SV1446 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8144 @ ( c_Expr_Oexp_OVal @ SV1446 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2750]) ).
thf(3187,plain,
! [SV1447: $i,SV1032: $i,SV593: $i,SV148: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV148 @ SV593 )
!= ( c_Expr_Oexp_OCast @ SV1032 @ SV1447 @ SV593 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2751]) ).
thf(3188,plain,
! [SV1448: $i,SV1033: $i,SV594: $i,SV149: $i] :
( ( ! [SY8145: $i] :
( ( c_Conform_Olconf @ SV149 @ SV594 @ SV1033 @ SV1448 @ SY8145 )
| ! [SY8146: $i] :
( ~ ( c_Objects_Ohext @ SY8146 @ SV594 )
| ~ ( c_Conform_Olconf @ SV149 @ SY8146 @ SV1033 @ SV1448 @ SY8145 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2752]) ).
thf(3189,plain,
! [SV1449: $i,SV1034: $i,SV595: $i,SV150: $i] :
( ( ! [SY8147: $i] :
( ( c_SmallStep_Oredp @ SV150 @ ( c_Expr_Oexp_Othrow @ SV595 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1034 @ ( c_Expr_Oexp_Othrow @ SV1449 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8147 )
| ~ ( c_SmallStep_Oredp @ SV150 @ SV595 @ SV1034 @ SV1449 @ SY8147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2753]) ).
thf(3190,plain,
! [SV1450: $i,SV1035: $i,SV596: $i,SV151: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV151 @ SV596 @ SV1035 )
!= ( c_Expr_Oexp_OVal @ SV1450 @ SV1035 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2754]) ).
thf(3191,plain,
! [SV1451: $i,SV1036: $i,SV597: $i,SV152: $i] :
( ( ! [SY8148: $i] :
( ( c_Expr_Oexp_Othrow @ SV152 @ SV597 )
!= ( c_Expr_Oexp_OCall @ SV1036 @ SV1451 @ SY8148 @ SV597 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2755]) ).
thf(3192,plain,
! [SV1452: $i,SV1037: $i,SV598: $i,SV153: $i] :
( ( ! [SY8149: $i] :
( ( c_Expr_Oexp_Othrow @ SV153 @ SV598 )
!= ( c_Expr_Oexp_OFAcc @ SV1037 @ SV1452 @ SY8149 @ SV598 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2756]) ).
thf(3193,plain,
! [SV1453: $i,SV1038: $i,SV599: $i,SV154: $i] :
( ( ! [SY8150: $i,SY8151: $i,SY8152: $i,SY8153: $i] :
( ( c_Expr_Oexp_OFAss @ SV154 @ SV599 @ SV1038 @ SV1453 @ SY8150 )
!= ( c_Expr_Oexp_OBlock @ SY8151 @ SY8152 @ SY8153 @ SY8150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2757]) ).
thf(3194,plain,
! [SV1454: $i,SV1039: $i,SV600: $i,SV155: $i] :
( ( ! [SY8154: $i,SY8155: $i] :
( ( c_Expr_Oexp_OCall @ SV155 @ SV600 @ SV1039 @ SV1454 )
!= ( c_Expr_Oexp_OWhile @ SY8154 @ SY8155 @ SV1454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2758]) ).
thf(3195,plain,
! [SV1455: $i,SV1040: $i,SV601: $i,SV156: $i] :
( ( ! [SY8156: $i] :
( ( c_Expr_Oexp_OCall @ SV156 @ SV601 @ SV1040 @ SV1455 )
!= ( c_Expr_Oexp_OVal @ SY8156 @ SV1455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2759]) ).
thf(3196,plain,
! [SV1456: $i,SV1041: $i,SV602: $i,SV157: $i] :
( ( ! [SY8157: $i,SY8158: $i,SY8159: $i] :
( ( c_BigStep_Oeval @ SV157 @ ( c_Expr_Oexp_OBinOp @ SV602 @ SV1041 @ SV1456 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8157 @ ( c_Expr_Oexp_Othrow @ SY8158 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8159 )
| ~ ( c_BigStep_Oeval @ SV157 @ SV602 @ SY8157 @ ( c_Expr_Oexp_Othrow @ SY8158 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2760]) ).
thf(3197,plain,
! [SV1457: $i,SV1042: $i,SV603: $i,SV158: $i] :
( ( ! [SY8160: $i] :
( ( c_Expr_Oexp_Othrow @ SV158 @ SV603 )
!= ( c_Expr_Oexp_OBinOp @ SV1042 @ SV1457 @ SY8160 @ SV603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2761]) ).
thf(3198,plain,
! [SV1458: $i,SV1043: $i,SV604: $i,SV159: $i] :
( ( ! [SY8161: $i] :
( ( c_Expr_Oexp_OCast @ SV159 @ SV604 @ SV1043 )
!= ( c_Expr_Oexp_OCast @ SV1458 @ SY8161 @ SV1043 ) )
| ( SV159 = SV1458 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2762]) ).
thf(3199,plain,
! [SV1459: $i,SV1044: $i,SV605: $i,SV160: $i] :
( ( ! [SY8162: $i] :
( ( ( c_Expr_Oexp_OCast @ SV160 @ SV605 @ SV1044 )
!= ( c_Expr_Oexp_OCast @ SV1459 @ SY8162 @ SV1044 ) )
| ( SV605 = SY8162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2763]) ).
thf(3200,plain,
! [SV1460: $i,SV1045: $i,SV606: $i,SV161: $i] :
( ( ! [SY8163: $i,SY8164: $i,SY8165: $i,SY8166: $i] :
( ( c_Expr_Oexp_OCall @ SV161 @ SV606 @ SV1045 @ SV1460 )
!= ( c_Expr_Oexp_OFAss @ SY8163 @ SY8164 @ SY8165 @ SY8166 @ SV1460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2764]) ).
thf(3201,plain,
! [SV1461: $i,SV1046: $i,SV607: $i,SV162: $i] :
( ( ! [SY8167: $i,SY8168: $i] :
( ( c_Expr_Oexp_OFAss @ SV162 @ SV607 @ SV1046 @ SV1461 @ SY8167 )
!= ( c_Expr_Oexp_Othrow @ SY8168 @ SY8167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2765]) ).
thf(3202,plain,
! [SV1462: $i,SV1047: $i,SV608: $i,SV163: $i] :
( ( ! [SY8169: $i] : ( c_SmallStep_Oredp @ SV163 @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ SV608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1047 @ SV1462 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8169 @ ( c_Expr_Oexp_Othrow @ SV608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2766]) ).
thf(3203,plain,
! [SV1463: $i,SV1048: $i,SV609: $i,SV164: $i] :
( ( ! [SY8170: $i,SY8171: $i] :
( ( c_Expr_Oexp_OBinOp @ SV164 @ SV609 @ SV1048 @ SV1463 )
!= ( c_Expr_Oexp_OLAss @ SY8170 @ SY8171 @ SV1463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2767]) ).
thf(3204,plain,
! [SV1464: $i,SV1049: $i,SV610: $i,SV165: $i] :
( ( ! [SY8172: $i,SY8173: $i,SY8174: $i] :
( ( c_Expr_Oexp_OFAcc @ SV165 @ SV610 @ SV1049 @ SV1464 )
!= ( c_Expr_Oexp_OBlock @ SY8172 @ SY8173 @ SY8174 @ SV1464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2768]) ).
thf(3205,plain,
! [SV1465: $i,SV1050: $i,SV611: $i,SV166: $i] :
( ( ! [SY8175: $i,SY8176: $i] :
( ( c_Expr_Oexp_OCall @ SV166 @ SV611 @ SV1050 @ SV1465 )
!= ( c_Expr_Oexp_OCast @ SY8175 @ SY8176 @ SV1465 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2769]) ).
thf(3206,plain,
! [SV1051: $i,SV612: $i,SV167: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV167 @ SV612 )
= ( c_Expr_Oexp_OVal @ SV1051 @ SV612 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2770]) ).
thf(3207,plain,
! [SV1466: $i,SV1052: $i,SV613: $i,SV168: $i] :
( ( ! [SY8177: $i,SY8178: $i,SY8179: $i] :
( ( c_Expr_Oexp_OLAss @ SV168 @ SV613 @ SV1052 )
!= ( c_Expr_Oexp_OTryCatch @ SV1466 @ SY8177 @ SY8178 @ SY8179 @ SV1052 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2771]) ).
thf(3208,plain,
! [SV1467: $i,SV1053: $i,SV614: $i,SV169: $i] :
( ( ! [SY8180: $i,SY8181: $i,SY8182: $i] :
( ( c_Expr_Oexp_OCall @ SV169 @ SV614 @ SV1053 @ SV1467 )
!= ( c_Expr_Oexp_OFAcc @ SY8180 @ SY8181 @ SY8182 @ SV1467 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2772]) ).
thf(3209,plain,
! [SV1468: $i,SV1054: $i,SV615: $i,SV170: $i] :
( ( ! [SY8183: $i] :
( ( c_Expr_Oexp_OFAcc @ SV170 @ SV615 @ SV1054 @ SV1468 )
!= ( c_Expr_Oexp_Othrow @ SY8183 @ SV1468 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2773]) ).
thf(3210,plain,
! [SV1469: $i,SV1055: $i,SV616: $i,SV171: $i] :
( ( ! [SY8184: $i,SY8185: $i] : ( c_SmallStep_Oredp @ SV171 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ SV616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1055 @ SV1469 @ SY8184 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8185 @ ( c_Expr_Oexp_Othrow @ SV616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8185 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2774]) ).
thf(3211,plain,
! [SV1470: $i,SV1056: $i,SV617: $i,SV172: $i] :
( ( c_Map_Omap__le @ SV172 @ ( c_Map_Omap__add @ SV617 @ SV172 @ SV1056 @ SV1470 ) @ SV1056 @ SV1470 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2775]) ).
thf(3212,plain,
! [SV1471: $i,SV1057: $i,SV618: $i,SV173: $i] :
( ( ! [SY8186: $i] :
( ( c_Expr_Oexp_OSeq @ SV173 @ SV618 @ SV1057 )
!= ( c_Expr_Oexp_OCast @ SV1471 @ SY8186 @ SV1057 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2776]) ).
thf(3213,plain,
! [SV1472: $i,SV1058: $i,SV619: $i,SV174: $i] :
( ( ! [SY8187: $i] :
( ( c_Expr_Oexp_OWhile @ SV174 @ SV619 @ SV1058 )
!= ( c_Expr_Oexp_OCast @ SV1472 @ SY8187 @ SV1058 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2777]) ).
thf(3214,plain,
! [SV1473: $i,SV1059: $i,SV620: $i,SV175: $i] :
( ( c_SmallStep_Oredp @ SV175 @ ( c_Expr_Oexp_OCast @ SV620 @ ( c_Expr_Oexp_Othrow @ SV1059 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1473 @ ( c_Expr_Oexp_Othrow @ SV1059 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1473 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2778]) ).
thf(3215,plain,
! [SV1474: $i,SV1060: $i,SV621: $i,SV176: $i] :
( ( ! [SY8188: $i] :
( ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SY8188 @ SV1060 @ SV1474 )
| ~ ( c_Map_Omap__le @ SV176 @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1060 @ SV1474 )
| ~ ( c_Map_Omap__le @ SV621 @ SY8188 @ SV1060 @ SV1474 )
| ~ ( c_Map_Omap__le @ SV176 @ SY8188 @ SV1060 @ SV1474 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2779]) ).
thf(3216,plain,
! [SV1475: $i,SV1061: $i,SV622: $i,SV177: $i] :
( ( ! [SY8189: $i] :
( ( c_BigStep_Oeval @ SV177 @ ( c_Expr_Oexp_OCast @ SV622 @ SV1061 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1475 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8189 )
| ~ ( c_BigStep_Oeval @ SV177 @ SV1061 @ SV1475 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2780]) ).
thf(3217,plain,
! [SV1476: $i,SV1062: $i,SV623: $i,SV178: $i] :
( ( ! [SY8190: $i,SY8191: $i,SY8192: $i] :
( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SV623 @ SV1062 @ SV1476 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8190 @ ( c_Expr_Oexp_Othrow @ SY8191 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8192 )
| ! [SY8193: $i] :
( ~ ( c_BigStep_Oeval @ SV178 @ SV1476 @ SY8193 @ ( c_Expr_Oexp_Othrow @ SY8191 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8192 )
| ! [SY5477: $i] :
~ ( c_BigStep_Oeval @ SV178 @ SV623 @ SY8190 @ ( c_Expr_Oexp_OVal @ SY5477 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8193 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2781]) ).
thf(3218,plain,
! [SV1477: $i,SV1063: $i,SV624: $i,SV179: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV179 @ SV624 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1063 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV624 @ SV1063 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1477 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2782]) ).
thf(3219,plain,
! [SV1478: $i,SV1064: $i,SV625: $i,SV180: $i] :
( ( ! [SY8195: $i,SY8196: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV180 @ SV625 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV180 @ ( c_Expr_Oexp_OVal @ SV1064 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ SV1478 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8195 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV1478 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8195 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8196 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2783]) ).
thf(3220,plain,
! [SV1479: $i,SV1065: $i,SV626: $i,SV181: $i] :
( ( ! [SY8197: $i,SY8198: $i,SY8199: $i,SY8200: $i] :
( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SV1065 @ SV1479 @ SY8197 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8198 @ ( c_Expr_Oexp_Othrow @ SY8199 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8200 )
| ! [SY5490: $i] :
( ~ ( c_BigStep_Oeval @ SV181 @ SY8197 @ SY5490 @ ( c_Expr_Oexp_Othrow @ SY8199 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8200 )
| ! [SY5491: $i] :
~ ( c_BigStep_Oeval @ SV181 @ SV626 @ SY8198 @ ( c_Expr_Oexp_OVal @ SY5491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY5490 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2784]) ).
thf(3221,plain,
! [SV1480: $i,SV1067: $i,SV628: $i,SV183: $i] :
( ( ! [SY8203: $i] : ( c_SmallStep_Oredp @ SV183 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV628 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1067 @ ( c_Expr_Oexp_Othrow @ SV1480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8203 @ ( c_Expr_Oexp_Othrow @ SV1480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8203 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2786]) ).
thf(3222,plain,
! [SV1481: $i,SV1068: $i,SV629: $i,SV184: $i] :
( ( ! [SY8204: $i,SY8205: $i] : ( c_SmallStep_Oredp @ SV184 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV629 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1068 @ SV1481 @ ( c_Expr_Oexp_Othrow @ SY8204 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8205 @ ( c_Expr_Oexp_Othrow @ SY8204 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8205 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2787]) ).
thf(3223,plain,
! [SV1482: $i,SV1069: $i,SV630: $i,SV185: $i] :
( ( ! [SY8206: $i,SY8207: $i,SY8208: $i,SY8209: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SV1482 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8206 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SY8207 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8208 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8209 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1482 @ SY8206 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8207 @ SY8208 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8209 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2788]) ).
thf(3224,plain,
! [SV1483: $i,SV1070: $i,SV631: $i,SV186: $i] :
( ( ! [SY8210: $i,SY8211: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV186 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV631 @ SV1070 @ ( c_Expr_Oexp_Othrow @ SV1483 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8210 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1483 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8210 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8211 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2789]) ).
thf(3225,plain,
! [SV1484: $i,SV1071: $i,SV632: $i,SV187: $i] :
( ( ! [SY8212: $i,SY8213: $i,SY8214: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SV1071 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SY8212 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8213 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8214 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1071 @ SV1484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8212 @ SY8213 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8214 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2790]) ).
thf(3226,plain,
! [SV1485: $i,SV1072: $i,SV633: $i,SV188: $i] :
( ( ! [SY8215: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV188 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV633 @ ( c_Expr_Oexp_Othrow @ SV1072 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1485 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1072 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1485 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8215 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2791]) ).
thf(3227,plain,
! [SV1486: $i,SV1073: $i,SV634: $i,SV189: $i] :
( ( ! [SY8216: $i,SY8217: $i,SY8218: $i] :
( ( c_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Olconf @ SV189 @ SY8216 @ SY8217 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY8219: $i] :
~ ( c_WellTypeRT_OWTrt @ SV189 @ SY8216 @ SV1486 @ SY8218 @ SY8219 )
| ! [SY7085: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY8218 @ ( c_Pair @ SY8216 @ SY8217 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7085 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2792]) ).
thf(3228,plain,
! [SV1487: $i,SV1074: $i,SV635: $i,SV190: $i] :
( ( ! [SY8221: $i,SY8222: $i,SY8223: $i] :
( ( c_Conform_Ohconf @ SV190 @ SV635 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV190 @ SV1074 @ SV1487 @ SY8221 @ SY8222 )
| ! [SY7090: $i,SY7091: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY8221 @ ( c_Pair @ SV1074 @ SY8223 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY7090 @ ( c_Pair @ SV635 @ SY7091 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2793]) ).
thf(3229,plain,
! [SV1488: $i,SV1076: $i,SV637: $i,SV192: $i] :
( ( c_SmallStep_Oredp @ SV192 @ ( c_Expr_Oexp_OWhile @ SV637 @ SV1076 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1488 @ ( c_Expr_Oexp_OCond @ SV637 @ ( c_Expr_Oexp_OSeq @ SV1076 @ ( c_Expr_Oexp_OWhile @ SV637 @ SV1076 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1488 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2795]) ).
thf(3230,plain,
! [SV1489: $i,SV1077: $i,SV638: $i,SV193: $i] :
( ( ! [SY8226: $i,SY8227: $i] :
( ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OCond @ SV638 @ ( c_Expr_Oexp_OSeq @ SV1077 @ ( c_Expr_Oexp_OWhile @ SV638 @ SV1077 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1489 @ SY8226 @ SY8227 )
| ~ ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OWhile @ SV638 @ SV1077 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1489 @ SY8226 @ SY8227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2796]) ).
thf(3231,plain,
! [SV1490: $i,SV1078: $i,SV639: $i,SV194: $i] :
( ( ! [SY8228: $i,SY8229: $i] :
( ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OWhile @ SV639 @ SV1078 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1490 @ SY8228 @ SY8229 )
| ~ ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OCond @ SV639 @ ( c_Expr_Oexp_OSeq @ SV1078 @ ( c_Expr_Oexp_OWhile @ SV639 @ SV1078 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1490 @ SY8228 @ SY8229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2797]) ).
thf(3232,plain,
! [SV1491: $i,SV1079: $i,SV640: $i,SV195: $i] :
( ( ! [SY8230: $i,SY8231: $i,SY8232: $i,SY8233: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV195 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8230 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SY8231 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8232 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8233 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV195 @ SY8230 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8231 @ SY8232 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8233 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2798]) ).
thf(3233,plain,
! [SV1492: $i,SV1080: $i,SV641: $i,SV196: $i] :
( ( ! [SY8234: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ SV196 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV641 @ SV1080 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1492 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV196 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1492 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8234 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2799]) ).
thf(3234,plain,
! [SV1493: $i,SV1081: $i,SV642: $i,SV197: $i] :
( ( ! [SY8235: $i,SY8236: $i,SY8237: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV197 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1493 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SY8235 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8236 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8237 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV197 @ SV1493 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8235 @ SY8236 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8237 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2800]) ).
thf(3235,plain,
! [SV1494: $i,SV1082: $i,SV643: $i,SV198: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_Othrow @ SV198 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV643 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1082 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV198 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1082 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1494 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2801]) ).
thf(3236,plain,
! [SV1495: $i,SV1083: $i,SV644: $i,SV199: $i] :
( ( ! [SY8238: $i,SY8239: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV199 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1083 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV1495 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8238 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8239 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV199 @ SV1083 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1495 @ SY8238 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8239 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2802]) ).
thf(3237,plain,
! [SV1496: $i,SV1084: $i,SV645: $i,SV200: $i] :
( ( ! [SY8240: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ SV200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV645 @ SV1084 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1496 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1496 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8240 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2803]) ).
thf(3238,plain,
! [SV1497: $i,SV1085: $i,SV646: $i,SV201: $i] :
( ( ! [SY8241: $i,SY8242: $i,SY8243: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV201 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1497 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SY8241 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8242 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8243 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV201 @ SV1497 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8241 @ SY8242 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8243 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2804]) ).
thf(3239,plain,
! [SV1498: $i,SV1086: $i,SV647: $i,SV202: $i] :
( ( ! [SY8244: $i,SY8245: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ SV202 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV647 @ SV1086 @ SV1498 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8244 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV202 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8244 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8245 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2805]) ).
thf(3240,plain,
! [SV1499: $i,SV1087: $i,SV648: $i,SV203: $i] :
( ( ! [SY8246: $i,SY8247: $i,SY8248: $i,SY8249: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV203 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8246 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SY8247 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8248 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8249 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV203 @ SY8246 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8247 @ SY8248 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8249 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2806]) ).
thf(3241,plain,
! [SV1500: $i,SV1088: $i,SV649: $i,SV204: $i] :
( ( ! [SY8250: $i,SY8251: $i,SY8252: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV204 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1500 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SY8250 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8251 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8252 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV204 @ SV1500 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8250 @ SY8251 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8252 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2807]) ).
thf(3242,plain,
! [SV1501: $i,SV1089: $i,SV650: $i,SV205: $i] :
( ( ! [SY8253: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ SV205 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV650 @ SV1089 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1501 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV205 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1501 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8253 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2808]) ).
thf(3243,plain,
! [SV1502: $i,SV1090: $i,SV651: $i,SV206: $i] :
( ( ! [SY8254: $i,SY8255: $i,SY8256: $i,SY8257: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ ( c_Map_Omap__add @ SV1090 @ SV1502 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8254 @ ( c_Pair @ SY8255 @ ( c_Map_Omap__add @ SV1090 @ SY8256 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8257 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ SV1502 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8254 @ ( c_Pair @ SY8255 @ SY8256 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8257 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2809]) ).
thf(3244,plain,
! [SV1503: $i,SV1091: $i,SV652: $i,SV207: $i] :
( ( ! [SY8258: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV207 @ SV652 @ ( c_Expr_Oexp_OVal @ SV1091 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1503 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV1091 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1503 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8258 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2810]) ).
thf(3245,plain,
! [SV1504: $i,SV1092: $i,SV653: $i,SV208: $i] :
( ( ! [SY8259: $i] :
( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ c_Type_Oty_ONT )
| ! [SY8260: $i,SY8261: $i] :
( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SY8259 @ SV1092 @ SY8260 @ SV208 @ SY8261 @ SV1504 @ SV653 ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ ( c_Expr_Oexp_OFAcc @ SV1504 @ SY8260 @ SY8259 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8261 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2811]) ).
thf(3246,plain,
! [SV1505: $i,SV1093: $i,SV654: $i,SV209: $i] :
( ( ! [SY8262: $i,SY8263: $i] :
( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ c_Type_Oty_ONT )
| ! [SY8264: $i] :
( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SY8262 @ SV1093 @ SY8263 @ SV209 @ SV1505 @ SV654 @ SY8264 ) ) )
| ! [SY8265: $i] :
~ ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ ( c_Expr_Oexp_OFAss @ SV1505 @ SY8263 @ SY8262 @ SY8264 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8265 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2812]) ).
thf(3247,plain,
! [SV1506: $i,SV1094: $i,SV655: $i,SV210: $i] :
( ( ! [SY8266: $i,SY8267: $i,SY8268: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV210 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SY8266 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8267 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8268 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV210 @ SV1506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8266 @ SY8267 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8268 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2813]) ).
thf(3248,plain,
! [SV1507: $i,SV1095: $i,SV656: $i,SV211: $i] :
( ( ! [SY8269: $i,SY8270: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SV656 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SV1507 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8269 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8270 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV656 @ SV1095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1507 @ SY8269 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8270 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2814]) ).
thf(3249,plain,
! [SV1508: $i,SV1096: $i,SV657: $i,SV212: $i] :
( ( ! [SY8271: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV212 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV657 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1096 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1508 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8271 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV212 @ SV657 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1096 @ SV1508 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8271 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2815]) ).
thf(3250,plain,
! [SV1509: $i,SV1098: $i,SV659: $i,SV214: $i] :
( ( ! [SY8272: $i,SY8273: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SV659 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1098 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SV1509 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8272 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8273 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV659 @ SV1098 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1509 @ SY8272 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8273 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2817]) ).
thf(3251,plain,
! [SV1510: $i,SV1099: $i,SV660: $i,SV215: $i] :
( ( ! [SY8274: $i,SY8275: $i,SY8276: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV215 @ SV660 @ SV1099 @ SV1510 ) @ ( c_Pair @ SV215 @ SY8274 @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) @ ( c_Recdef_Osame__fst @ SY8275 @ SY8276 @ SV1099 @ SV1510 ) @ ( tc_prod @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) )
| ~ ( c_in @ ( c_Pair @ SV660 @ SY8274 @ SV1510 @ SV1510 ) @ ( hAPP @ SY8276 @ SV215 ) @ ( tc_prod @ SV1510 @ SV1510 ) )
| ~ ( hBOOL @ ( hAPP @ SY8275 @ SV215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2818]) ).
thf(3252,plain,
! [SV1511: $i,SV1100: $i,SV661: $i,SV216: $i] :
( ( ! [SY8277: $i,SY8278: $i] :
( ( c_in @ ( c_Pair @ SV216 @ SV661 @ SV1100 @ SV1100 ) @ SV1511 @ ( tc_prod @ SV1100 @ SV1100 ) )
| ! [SY8279: $i,SY8280: $i] :
( ( c_in @ ( c_Pair @ SY8277 @ SY8278 @ SY8279 @ SY8279 ) @ SY8280 @ ( tc_prod @ SY8279 @ SY8279 ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SY8277 @ SV216 @ SY8279 @ SV1100 ) @ ( c_Pair @ SY8278 @ SV661 @ SY8279 @ SV1100 ) @ ( tc_prod @ SY8279 @ SV1100 ) @ ( tc_prod @ SY8279 @ SV1100 ) ) @ ( c_Wellfounded_Olex__prod @ SY8280 @ SV1511 @ SY8279 @ SV1100 ) @ ( tc_prod @ ( tc_prod @ SY8279 @ SV1100 ) @ ( tc_prod @ SY8279 @ SV1100 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2819]) ).
thf(3253,plain,
! [SV1512: $i,SV1101: $i,SV662: $i,SV217: $i] :
( ( ! [SY8281: $i,SY8282: $i,SY8283: $i] :
( ! [SY8284: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ SV217 @ SV662 @ SV1101 @ SV1512 ) @ ( c_Pair @ SY8281 @ SY8282 @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) @ ( c_Wellfounded_Olex__prod @ SY8283 @ SY8284 @ SV1101 @ SV1512 ) @ ( tc_prod @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) )
| ~ ( c_in @ ( c_Pair @ SV217 @ SY8281 @ SV1101 @ SV1101 ) @ SY8283 @ ( tc_prod @ SV1101 @ SV1101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2820]) ).
thf(3254,plain,
! [SV1513: $i,SV1102: $i,SV663: $i,SV218: $i] :
( ( ! [SY8285: $i,SY8286: $i,SY8287: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV218 @ SV663 @ SV1102 @ SV1513 ) @ ( c_Pair @ SV218 @ SY8285 @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) ) @ ( c_Wellfounded_Olex__prod @ SY8286 @ SY8287 @ SV1102 @ SV1513 ) @ ( tc_prod @ ( tc_prod @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) ) )
| ~ ( c_in @ ( c_Pair @ SV663 @ SY8285 @ SV1513 @ SV1513 ) @ SY8287 @ ( tc_prod @ SV1513 @ SV1513 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2821]) ).
thf(3255,plain,
! [SV1514: $i,SV1103: $i,SV664: $i,SV219: $i] :
( ( ! [SY8288: $i,SY8289: $i] :
( ( SV219 = SV664 )
| ( c_in @ ( c_Pair @ SV219 @ SV664 @ SV1103 @ SV1103 ) @ SV1514 @ ( tc_prod @ SV1103 @ SV1103 ) )
| ! [SY8290: $i,SY8291: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV219 @ SY8288 @ SV1103 @ SY8289 ) @ ( c_Pair @ SV664 @ SY8290 @ SV1103 @ SY8289 ) @ ( tc_prod @ SV1103 @ SY8289 ) @ ( tc_prod @ SV1103 @ SY8289 ) ) @ ( c_Wellfounded_Olex__prod @ SV1514 @ SY8291 @ SV1103 @ SY8289 ) @ ( tc_prod @ ( tc_prod @ SV1103 @ SY8289 ) @ ( tc_prod @ SV1103 @ SY8289 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2822]) ).
thf(3256,plain,
! [SV1515: $i,SV1104: $i,SV665: $i,SV220: $i] :
( ( ! [SY8292: $i,SY8293: $i,SY8294: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ ( c_List_Olist_OCons @ SV1515 @ SY8292 @ SV665 ) @ ( c_List_Olist_OCons @ SY8293 @ SY8294 @ SV1104 ) @ SV665 @ SV1104 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ SY8292 @ SY8294 @ SV665 @ SV1104 )
| ~ ( c_in @ ( c_Pair @ SV1515 @ SY8293 @ SV665 @ SV1104 ) @ SV220 @ ( tc_prod @ SV665 @ SV1104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2823]) ).
thf(3257,plain,
! [SV1516: $i,SV1105: $i,SV666: $i,SV221: $i] :
( ( ! [SY8295: $i,SY8296: $i,SY8297: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ ( c_List_Olist_OCons @ SV1516 @ SY8295 @ SV666 ) @ ( c_List_Olist_OCons @ SY8296 @ SY8297 @ SV1105 ) @ SV666 @ SV1105 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ SY8295 @ SY8297 @ SV666 @ SV1105 )
| ~ ( c_in @ ( c_Pair @ SV1516 @ SY8296 @ SV666 @ SV1105 ) @ SV221 @ ( tc_prod @ SV666 @ SV1105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2824]) ).
thf(3258,plain,
! [SV1517: $i,SV1106: $i,SV667: $i,SV222: $i] :
( ( ! [SY8298: $i,SY8299: $i,SY8300: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ ( c_List_Olist_OCons @ SV1517 @ SY8298 @ SV667 ) @ ( c_List_Olist_OCons @ SY8299 @ SY8300 @ SV1106 ) @ SV667 @ SV1106 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ SY8298 @ SY8300 @ SV667 @ SV1106 )
| ~ ( c_in @ ( c_Pair @ SV1517 @ SY8299 @ SV667 @ SV1106 ) @ SV222 @ ( tc_prod @ SV667 @ SV1106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2825]) ).
thf(3259,plain,
! [SV1518: $i,SV1107: $i,SV668: $i,SV223: $i] :
( ( ! [SY8301: $i] :
( ( c_in @ ( c_Pair @ SV223 @ SV668 @ SV1107 @ SV1518 ) @ SY8301 @ ( tc_prod @ SV1107 @ SV1518 ) )
| ! [SY8302: $i,SY8303: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SY8301 @ SV1107 @ SV1518 ) @ ( c_List_Olist_OCons @ SV223 @ SY8302 @ SV1107 ) @ ( c_List_Olist_OCons @ SV668 @ SY8303 @ SV1518 ) @ SV1107 @ SV1518 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2826]) ).
thf(3260,plain,
! [SV1519: $i,SV1108: $i,SV669: $i,SV224: $i] :
( ( ! [SY8304: $i,SY8305: $i,SY8306: $i,SY8307: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SV1108 @ SV1519 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8304 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY8305 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8306 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8307 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY8308: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1519 @ SY8308 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY8305 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8306 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8307 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY3717: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SY8304 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY3717 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8308 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8307 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2827]) ).
thf(3261,plain,
! [SV1520: $i,SV1109: $i,SV670: $i,SV225: $i] :
( ( ! [SY8310: $i,SY8311: $i,SY8312: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SV670 @ SV1109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY8310 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8311 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8312 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY8313: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1109 @ SY8313 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY8310 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8311 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8312 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY8314: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY8314 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8313 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8312 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2828]) ).
thf(3262,plain,
! [SV1521: $i,SV1110: $i,SV671: $i,SV226: $i] :
( ( ! [SY8315: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV226 @ SV671 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1110 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1521 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8315 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV671 @ SV1110 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1521 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8315 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2829]) ).
thf(3263,plain,
! [SV1522: $i,SV1111: $i,SV672: $i,SV227: $i] :
( ( ! [SY8316: $i,SY8317: $i,SY8318: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV227 @ SV672 @ SV1111 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1522 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY8316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8317 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8318 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV227 @ SV1522 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY8316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8317 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8318 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2830]) ).
thf(3264,plain,
! [SV1523: $i,SV1112: $i,SV673: $i,SV228: $i] :
( ( ! [SY8319: $i,SY8320: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV228 @ SV673 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1523 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8319 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8320 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV228 @ SV1112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1523 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8319 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8320 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2831]) ).
thf(3265,plain,
! [SV1524: $i,SV1113: $i,SV674: $i,SV229: $i] :
( ( ! [SY8321: $i,SY8322: $i,SY8323: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV229 @ SV674 @ SV1113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1524 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY8321 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8322 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8323 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV229 @ SV1524 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY8321 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8322 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8323 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2832]) ).
thf(3266,plain,
! [SV1525: $i,SV1114: $i,SV675: $i,SV230: $i] :
( ( ! [SY8324: $i,SY8325: $i,SY8326: $i,SY8327: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV230 @ SV675 @ SV1114 @ SV1525 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8324 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY8325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8326 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8327 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV230 @ SY8324 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY8325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8326 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8327 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2833]) ).
thf(3267,plain,
! [SV1526: $i,SV1115: $i,SV676: $i,SV231: $i] :
( ( ! [SY8328: $i,SY8329: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV231 @ SV676 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1526 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8328 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8329 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV231 @ SV1115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1526 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8328 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8329 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2834]) ).
thf(3268,plain,
! [SV1527: $i,SV1116: $i,SV677: $i,SV232: $i] :
( ( ! [SY8330: $i,SY8331: $i,SY8332: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV232 @ SV677 @ SV1116 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1527 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY8330 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8331 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8332 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV232 @ SV1527 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY8330 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8331 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8332 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2835]) ).
thf(3269,plain,
! [SV1528: $i,SV1117: $i,SV678: $i,SV233: $i] :
( ( ! [SY8333: $i,SY8334: $i,SY8335: $i,SY8336: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ ( c_Map_Omap__add @ SV1117 @ SV1528 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8333 @ ( c_Pair @ SY8334 @ ( c_Map_Omap__add @ SV1117 @ SY8335 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8336 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ SV1528 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8333 @ ( c_Pair @ SY8334 @ SY8335 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8336 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2836]) ).
thf(3270,plain,
! [SV1529: $i,SV1118: $i,SV679: $i,SV234: $i] :
( ( ! [SY8337: $i,SY8338: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SV679 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SV1529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8337 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8338 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV679 @ SV1118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1529 @ SY8337 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8338 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2837]) ).
thf(3271,plain,
! [SV1530: $i,SV1119: $i,SV680: $i,SV235: $i] :
( ( ! [SY8339: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV235 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1119 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1530 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8339 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV235 @ SV680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1119 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1530 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8339 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2838]) ).
thf(3272,plain,
! [SV1531: $i,SV1120: $i,SV681: $i,SV236: $i] :
( ( ! [SY8340: $i,SY8341: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SV681 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SV1531 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8340 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8341 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV681 @ SV1120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1531 @ SY8340 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8341 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2839]) ).
thf(3273,plain,
! [SV1532: $i,SV1121: $i,SV682: $i,SV237: $i] :
( ( ! [SY8342: $i,SY8343: $i,SY8344: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV237 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1532 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SY8342 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8343 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8344 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV237 @ SV1532 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8342 @ SY8343 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8344 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2840]) ).
thf(3274,plain,
! [SV1122: $i,SV683: $i,SV238: $i] :
( ( ( c_in @ SV238 @ ( c_Transitive__Closure_Ortrancl @ SV683 @ SV1122 ) @ ( tc_prod @ SV1122 @ SV1122 ) )
= $true )
| ( ( ~ ( c_in @ SV238 @ SV683 @ ( tc_prod @ SV1122 @ SV1122 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2841]) ).
thf(3275,plain,
! [SV1533: $i,SV1125: $i,SV686: $i,SV241: $i] :
( ( ( c_in @ ( c_Pair @ SV241 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
| ! [SY8345: $i] :
( ~ ( c_in @ ( c_Pair @ SY8345 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
| ~ ( c_in @ ( c_Pair @ SV241 @ SY8345 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2844]) ).
thf(3276,plain,
! [SV1534: $i,SV1126: $i,SV687: $i,SV242: $i] :
( ( ( c_in @ ( c_Pair @ SV242 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SV1534 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
| ! [SY8346: $i] :
( ~ ( c_in @ ( c_Pair @ SY8346 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SV1534 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
| ~ ( c_in @ ( c_Pair @ SV242 @ SY8346 @ SV1126 @ SV1126 ) @ SV1534 @ ( tc_prod @ SV1126 @ SV1126 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2845]) ).
thf(3277,plain,
! [SV1535: $i,SV1127: $i,SV688: $i,SV243: $i] :
( ( ( c_in @ ( c_Pair @ SV243 @ SV688 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SV1535 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) )
| ! [SY8347: $i] :
( ~ ( c_in @ ( c_Pair @ SY8347 @ SV688 @ SV1127 @ SV1127 ) @ SV1535 @ ( tc_prod @ SV1127 @ SV1127 ) )
| ~ ( c_in @ ( c_Pair @ SV243 @ SY8347 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SV1535 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2846]) ).
thf(3278,plain,
! [SV1536: $i,SV1128: $i,SV689: $i,SV244: $i] :
( ( ! [SY8348: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV244 @ SV689 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1128 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1536 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8348 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV244 @ SV1128 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1536 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8348 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2847]) ).
thf(3279,plain,
! [SV1537: $i,SV1129: $i,SV690: $i,SV245: $i] :
( ( ! [SY8349: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV245 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1129 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1537 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8349 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV245 @ SV690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1129 @ SV1537 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8349 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2848]) ).
thf(3280,plain,
! [SV1538: $i,SV1130: $i,SV692: $i,SV247: $i] :
( ( ! [SY8350: $i,SY8351: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV247 @ SV692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SY8350 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8351 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY8352: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV692 @ SY8352 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SY8350 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8351 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY7270: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV247 @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY7270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8352 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8351 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2849]) ).
thf(3281,plain,
! [SV1539: $i,SV1131: $i,SV693: $i,SV248: $i] :
( ( ! [SY8354: $i,SY8355: $i,SY8356: $i,SY8357: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV248 @ SV693 @ SV1131 @ SV1539 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8354 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY8355 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8356 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8357 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV248 @ SY8354 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY8355 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8356 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8357 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2850]) ).
thf(3282,plain,
! [SV1540: $i,SV1132: $i,SV694: $i,SV249: $i] :
( ( ! [SY8358: $i] :
( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1132 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1540 )
| ! [SY8359: $i] :
~ ( c_WellTypeRT_OWTrt @ SV249 @ ( c_State_Ohp @ SV1540 ) @ SV694 @ SY8358 @ SY8359 )
| ! [SY8360: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY8358 @ SV1540 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8360 @ SV1132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2851]) ).
thf(3283,plain,
! [SV1541: $i,SV1133: $i,SV695: $i,SV250: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV250 @ SV695 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1133 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV250 @ ( c_Expr_Oexp_OSeq @ SV695 @ ( c_Expr_Oexp_OWhile @ SV250 @ SV695 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1133 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1541 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2852]) ).
thf(3284,plain,
! [SV1542: $i,SV1134: $i,SV696: $i,SV251: $i] :
( ( ! [SY8361: $i,SY8362: $i] :
( ( c_Expr_Oexp_OSeq @ SV251 @ SV696 @ SV1134 )
!= ( c_Expr_Oexp_OFAcc @ SV1542 @ SY8361 @ SY8362 @ SV1134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2853]) ).
thf(3285,plain,
! [SV1543: $i,SV1135: $i,SV697: $i,SV252: $i] :
( ( ! [SY8363: $i,SY8364: $i,SY8365: $i] :
( ( c_Expr_Oexp_OFAcc @ SV252 @ SV697 @ SV1135 @ SV1543 )
!= ( c_Expr_Oexp_OBinOp @ SY8363 @ SY8364 @ SY8365 @ SV1543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2854]) ).
thf(3286,plain,
! [SV1544: $i,SV1136: $i,SV698: $i,SV253: $i] :
( ( ! [SY8366: $i,SY8367: $i] :
( ( c_Expr_Oexp_OWhile @ SV253 @ SV698 @ SV1136 )
!= ( c_Expr_Oexp_OFAcc @ SV1544 @ SY8366 @ SY8367 @ SV1136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2855]) ).
thf(3287,plain,
! [SV1545: $i,SV1137: $i,SV699: $i,SV254: $i] :
( ( ! [SY8368: $i] :
( ! [SY8369: $i,SY8370: $i] :
( ( c_Expr_Oexp_OBinOp @ SV254 @ SV699 @ SV1137 @ SV1545 )
!= ( c_Expr_Oexp_OBinOp @ SY8368 @ SY8369 @ SY8370 @ SV1545 ) )
| ( SV254 = SY8368 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2856]) ).
thf(3288,plain,
! [SV1546: $i,SV1138: $i,SV700: $i,SV255: $i] :
( ( ! [SY8371: $i,SY8372: $i] :
( ! [SY8373: $i] :
( ( c_Expr_Oexp_OBinOp @ SV255 @ SV700 @ SV1138 @ SV1546 )
!= ( c_Expr_Oexp_OBinOp @ SY8371 @ SY8372 @ SY8373 @ SV1546 ) )
| ( SV700 = SY8372 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2857]) ).
thf(3289,plain,
! [SV1547: $i,SV1139: $i,SV701: $i,SV256: $i] :
( ( ! [SY8374: $i,SY8375: $i,SY8376: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV256 @ SV701 @ SV1139 @ SV1547 )
!= ( c_Expr_Oexp_OBinOp @ SY8374 @ SY8375 @ SY8376 @ SV1547 ) )
| ( SV1139 = SY8376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2858]) ).
thf(3290,plain,
! [SV1548: $i,SV1140: $i,SV702: $i,SV257: $i] :
( ( ! [SY8377: $i,SY8378: $i] :
( ( c_Expr_Oexp_OVal @ SV257 @ SV702 )
!= ( c_Expr_Oexp_OFAss @ SV1140 @ SV1548 @ SY8377 @ SY8378 @ SV702 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2859]) ).
thf(3291,plain,
! [SV1549: $i,SV1141: $i,SV703: $i,SV258: $i] :
( ( ! [SY8379: $i,SY8380: $i,SY8381: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV258 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1549 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SY8379 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8380 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8381 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV258 @ SV1549 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8379 @ SY8380 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8381 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2860]) ).
thf(3292,plain,
! [SV1550: $i,SV1142: $i,SV704: $i,SV259: $i] :
( ( ! [SY8382: $i,SY8383: $i,SY8384: $i,SY8385: $i] :
( ( c_SmallStep_Oredp @ SV259 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SY8382 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8383 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SY8384 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8385 )
| ~ ( c_SmallStep_Oredp @ SV259 @ SY8382 @ SY8383 @ SY8384 @ SY8385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2861]) ).
thf(3293,plain,
! [SV1551: $i,SV1143: $i,SV705: $i,SV260: $i] :
( ( ! [SY8386: $i] :
( ( c_Expr_Oexp_OVal @ SV260 @ SV705 )
!= ( c_Expr_Oexp_OFAcc @ SV1143 @ SV1551 @ SY8386 @ SV705 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2862]) ).
thf(3294,plain,
! [SV1552: $i,SV1144: $i,SV706: $i,SV261: $i] :
( ( ! [SY8387: $i] :
( ( ( c_List_Olist_OCons @ SV261 @ SV706 @ SV1144 )
!= ( c_List_Olist_OCons @ SV1552 @ SY8387 @ SV1144 ) )
| ( SV706 = SY8387 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2863]) ).
thf(3295,plain,
! [SV1553: $i,SV1145: $i,SV707: $i,SV262: $i] :
( ( ! [SY8388: $i] :
( ( c_List_Olist_OCons @ SV262 @ SV707 @ SV1145 )
!= ( c_List_Olist_OCons @ SV1553 @ SY8388 @ SV1145 ) )
| ( SV262 = SV1553 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2864]) ).
thf(3296,plain,
! [SV1554: $i,SV1146: $i,SV708: $i,SV263: $i] :
( ( ! [SY8389: $i] :
( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ ( c_Expr_Oexp_OBinOp @ SV1554 @ c_Expr_Obop_OEq @ SY8389 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY7323: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SY8389 @ SY7323 )
| ! [SY8391: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1554 @ SY8391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2865]) ).
thf(3297,plain,
! [SV1555: $i,SV1147: $i,SV709: $i,SV264: $i] :
( ( ! [SY8392: $i,SY8393: $i,SY8394: $i] :
( ( c_Expr_Oexp_OBinOp @ SV264 @ SV709 @ SV1147 @ SV1555 )
!= ( c_Expr_Oexp_OCond @ SY8392 @ SY8393 @ SY8394 @ SV1555 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2866]) ).
thf(3298,plain,
! [SV1556: $i,SV1148: $i,SV710: $i,SV265: $i] :
( ( ! [SY8395: $i,SY8396: $i,SY8397: $i] :
( ( c_Expr_Oexp_OFAss @ SV265 @ SV710 @ SV1148 @ SV1556 @ SY8395 )
!= ( c_Expr_Oexp_OWhile @ SY8396 @ SY8397 @ SY8395 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2867]) ).
thf(3299,plain,
! [SV1557: $i,SV1149: $i,SV711: $i,SV267: $i] :
( ( ! [SY8398: $i,SY8399: $i,SY8400: $i,SY8401: $i] :
( ( c_Expr_Oexp_OFAcc @ SV267 @ SV711 @ SV1149 @ SV1557 )
!= ( c_Expr_Oexp_OFAss @ SY8398 @ SY8399 @ SY8400 @ SY8401 @ SV1557 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2868]) ).
thf(3300,plain,
! [SV1558: $i,SV1150: $i,SV712: $i,SV269: $i] :
( ( ! [SY8402: $i] :
( ( c_Expr_Oexp_OVal @ SV269 @ SV712 )
!= ( c_Expr_Oexp_OBinOp @ SV1150 @ SV1558 @ SY8402 @ SV712 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2869]) ).
thf(3301,plain,
! [SV1559: $i,SV1151: $i,SV713: $i,SV270: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV270 @ SV713 @ SV1151 )
!= ( c_Expr_Oexp_OVal @ SV1559 @ SV1151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2870]) ).
thf(3302,plain,
! [SV1560: $i,SV1152: $i,SV714: $i,SV271: $i] :
( ( ! [SY8403: $i,SY8404: $i] :
( ( c_Expr_Oexp_OFAcc @ SV271 @ SV714 @ SV1152 @ SV1560 )
!= ( c_Expr_Oexp_OWhile @ SY8403 @ SY8404 @ SV1560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2871]) ).
thf(3303,plain,
! [SV1561: $i,SV1153: $i,SV715: $i,SV272: $i] :
( ( ! [SY8405: $i,SY8406: $i,SY8407: $i,SY8408: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV272 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8405 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SY8406 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8407 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8408 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV272 @ SY8405 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8406 @ SY8407 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8408 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2872]) ).
thf(3304,plain,
! [SV1562: $i,SV1154: $i,SV716: $i,SV273: $i] :
( ( ! [SY8409: $i,SY8410: $i,SY8411: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SV1154 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SY8409 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8410 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8411 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1154 @ SV1562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8409 @ SY8410 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8411 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2873]) ).
thf(3305,plain,
! [SV1563: $i,SV1155: $i,SV717: $i,SV274: $i] :
( ( ! [SY8412: $i,SY8413: $i,SY8414: $i] :
( ( c_Expr_Oexp_OWhile @ SV274 @ SV717 @ SV1155 )
!= ( c_Expr_Oexp_OTryCatch @ SV1563 @ SY8412 @ SY8413 @ SY8414 @ SV1155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2874]) ).
thf(3306,plain,
! [SV1564: $i,SV1156: $i,SV718: $i,SV275: $i] :
( ( ! [SY8415: $i,SY8416: $i,SY8417: $i] :
( ( c_SmallStep_Oredp @ SV275 @ ( c_Expr_Oexp_OBinOp @ SV718 @ SV1156 @ SV1564 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8415 @ ( c_Expr_Oexp_OBinOp @ SY8416 @ SV1156 @ SV1564 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8417 )
| ~ ( c_SmallStep_Oredp @ SV275 @ SV718 @ SY8415 @ SY8416 @ SY8417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2875]) ).
thf(3307,plain,
! [SV1565: $i,SV1157: $i,SV719: $i,SV276: $i] :
( ( ! [SY8418: $i,SY8419: $i] :
( ( c_Expr_Oexp_OSeq @ SV276 @ SV719 @ SV1157 )
!= ( c_Expr_Oexp_OBinOp @ SV1565 @ SY8418 @ SY8419 @ SV1157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2876]) ).
thf(3308,plain,
! [SV1566: $i,SV1158: $i,SV720: $i,SV277: $i] :
( ( ! [SY8420: $i,SY8421: $i,SY8422: $i,SY8423: $i] :
( ( c_Expr_Oexp_OFAss @ SV277 @ SV720 @ SV1158 @ SV1566 @ SY8420 )
!= ( c_Expr_Oexp_OFAcc @ SY8421 @ SY8422 @ SY8423 @ SY8420 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2877]) ).
thf(3309,plain,
! [SV1567: $i,SV1159: $i,SV721: $i,SV278: $i] :
( ( ! [SY8424: $i,SY8425: $i] :
( ( c_Expr_Oexp_OBinOp @ SV278 @ SV721 @ SV1159 @ SV1567 )
!= ( c_Expr_Oexp_OSeq @ SY8424 @ SY8425 @ SV1567 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2878]) ).
thf(3310,plain,
! [SV1568: $i,SV1161: $i,SV723: $i,SV280: $i] :
( ( ! [SY8426: $i,SY8427: $i,SY8428: $i,SY8429: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV280 @ SV723 @ SV1161 @ SV1568 @ SY8426 )
!= ( c_Expr_Oexp_OBinOp @ SY8427 @ SY8428 @ SY8429 @ SY8426 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2880]) ).
thf(3311,plain,
! [SV1162: $i,SV724: $i,SV281: $i] :
( ( ( SV281
= ( c_Expr_Oexp_OVal @ SV724 @ ( tc_List_Olist @ tc_String_Ochar ) ) )
= $true )
| ( ( ! [SY7377: $i,SY7378: $i] :
~ ( c_BigStep_Oeval @ SV1162 @ ( c_Expr_Oexp_OVal @ SV724 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7377 @ SV281 @ SY7378 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2881]) ).
thf(3312,plain,
! [SV1569: $i,SV1163: $i,SV725: $i,SV282: $i] :
( ( ! [SY8430: $i,SY8431: $i,SY8432: $i] :
( ( c_Expr_Oexp_OFAss @ SV282 @ SV725 @ SV1163 @ SV1569 @ SY8430 )
!= ( c_Expr_Oexp_OSeq @ SY8431 @ SY8432 @ SY8430 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2882]) ).
thf(3313,plain,
! [SV1570: $i,SV1164: $i,SV726: $i,SV283: $i] :
( ( ( c_Expr_Oexp_OVal @ SV283 @ SV726 )
!= ( c_Expr_Oexp_OWhile @ SV1164 @ SV1570 @ SV726 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2883]) ).
thf(3314,plain,
! [SV1571: $i,SV1165: $i,SV727: $i,SV284: $i] :
( ( ! [SY8433: $i,SY8434: $i,SY8435: $i,SY8436: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV284 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8433 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SY8434 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8435 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8436 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV284 @ SY8433 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8434 @ SY8435 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8436 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2884]) ).
thf(3315,plain,
! [SV1572: $i,SV1166: $i,SV728: $i,SV285: $i] :
( ( ! [SY8437: $i,SY8438: $i,SY8439: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV285 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SY8437 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8438 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8439 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV285 @ SV1572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8437 @ SY8438 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8439 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2885]) ).
thf(3316,plain,
! [SV1573: $i,SV1167: $i,SV729: $i,SV286: $i] :
( ( ! [SY8440: $i,SY8441: $i,SY8442: $i,SY8443: $i] :
( ( c_Expr_Oexp_OFAcc @ SV286 @ SV729 @ SV1167 @ SV1573 )
!= ( c_Expr_Oexp_OTryCatch @ SY8440 @ SY8441 @ SY8442 @ SY8443 @ SV1573 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2886]) ).
thf(3317,plain,
! [SV1574: $i,SV1168: $i,SV730: $i,SV287: $i] :
( ( ! [SY8444: $i,SY8445: $i] :
( ( c_SmallStep_Oredp @ SV287 @ ( c_Expr_Oexp_OSeq @ SV730 @ SV1168 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1574 @ ( c_Expr_Oexp_OSeq @ SY8444 @ SV1168 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8445 )
| ~ ( c_SmallStep_Oredp @ SV287 @ SV730 @ SV1574 @ SY8444 @ SY8445 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2887]) ).
thf(3318,plain,
! [SV1575: $i,SV1169: $i,SV731: $i,SV288: $i] :
( ( ! [SY8446: $i,SY8447: $i,SY8448: $i] :
( ! [SY8449: $i,SY8450: $i] :
( ( c_Expr_Oexp_OFAss @ SV288 @ SV731 @ SV1169 @ SV1575 @ SY8446 )
!= ( c_Expr_Oexp_OFAss @ SY8447 @ SY8448 @ SY8449 @ SY8450 @ SY8446 ) )
| ( SV288 = SY8447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2888]) ).
thf(3319,plain,
! [SV1576: $i,SV1170: $i,SV732: $i,SV289: $i] :
( ( ! [SY8451: $i,SY8452: $i,SY8453: $i] :
( ! [SY8454: $i,SY8455: $i] :
( ( c_Expr_Oexp_OFAss @ SV289 @ SV732 @ SV1170 @ SV1576 @ SY8451 )
!= ( c_Expr_Oexp_OFAss @ SY8452 @ SY8453 @ SY8454 @ SY8455 @ SY8451 ) )
| ( SV732 = SY8453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2889]) ).
thf(3320,plain,
! [SV1577: $i,SV1171: $i,SV733: $i,SV290: $i] :
( ( ! [SY8456: $i,SY8457: $i,SY8458: $i,SY8459: $i] :
( ! [SY8460: $i] :
( ( c_Expr_Oexp_OFAss @ SV290 @ SV733 @ SV1171 @ SV1577 @ SY8456 )
!= ( c_Expr_Oexp_OFAss @ SY8457 @ SY8458 @ SY8459 @ SY8460 @ SY8456 ) )
| ( SV1171 = SY8459 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2890]) ).
thf(3321,plain,
! [SV1578: $i,SV1172: $i,SV734: $i,SV291: $i] :
( ( ! [SY8461: $i,SY8462: $i,SY8463: $i,SY8464: $i,SY8465: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV291 @ SV734 @ SV1172 @ SV1578 @ SY8461 )
!= ( c_Expr_Oexp_OFAss @ SY8462 @ SY8463 @ SY8464 @ SY8465 @ SY8461 ) )
| ( SV1578 = SY8465 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2891]) ).
thf(3322,plain,
! [SV1579: $i,SV1173: $i,SV735: $i,SV292: $i] :
( ( ! [SY8466: $i] :
( ! [SY8467: $i,SY8468: $i] :
( ( c_Expr_Oexp_OFAcc @ SV292 @ SV735 @ SV1173 @ SV1579 )
!= ( c_Expr_Oexp_OFAcc @ SY8466 @ SY8467 @ SY8468 @ SV1579 ) )
| ( SV292 = SY8466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2892]) ).
thf(3323,plain,
! [SV1580: $i,SV1174: $i,SV736: $i,SV293: $i] :
( ( ! [SY8469: $i,SY8470: $i] :
( ! [SY8471: $i] :
( ( c_Expr_Oexp_OFAcc @ SV293 @ SV736 @ SV1174 @ SV1580 )
!= ( c_Expr_Oexp_OFAcc @ SY8469 @ SY8470 @ SY8471 @ SV1580 ) )
| ( SV736 = SY8470 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2893]) ).
thf(3324,plain,
! [SV1581: $i,SV1175: $i,SV737: $i,SV294: $i] :
( ( ! [SY8472: $i,SY8473: $i,SY8474: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV294 @ SV737 @ SV1175 @ SV1581 )
!= ( c_Expr_Oexp_OFAcc @ SY8472 @ SY8473 @ SY8474 @ SV1581 ) )
| ( SV1175 = SY8474 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2894]) ).
thf(3325,plain,
! [SV1582: $i,SV1176: $i,SV738: $i,SV295: $i] :
( ( ! [SY8475: $i,SY8476: $i,SY8477: $i] :
( ( c_List_Olist__all2 @ SV295 @ ( c_List_Olist_OCons @ SV738 @ SV1176 @ SV1582 ) @ ( c_List_Olist_OCons @ SY8475 @ SY8476 @ SY8477 ) @ SV1582 @ SY8477 )
| ~ ( c_List_Olist__all2 @ SV295 @ SV1176 @ SY8476 @ SV1582 @ SY8477 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV295 @ SV738 ) @ SY8475 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2895]) ).
thf(3326,plain,
! [SV1583: $i,SV1177: $i,SV739: $i,SV296: $i] :
( ( ! [SY8478: $i,SY8479: $i,SY8480: $i] :
( ( c_List_Olist__all2 @ SV296 @ ( c_List_Olist_OCons @ SV739 @ SV1177 @ SV1583 ) @ ( c_List_Olist_OCons @ SY8478 @ SY8479 @ SY8480 ) @ SV1583 @ SY8480 )
| ~ ( c_List_Olist__all2 @ SV296 @ SV1177 @ SY8479 @ SV1583 @ SY8480 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV296 @ SV739 ) @ SY8478 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2896]) ).
thf(3327,plain,
! [SV1584: $i,SV1178: $i,SV740: $i,SV297: $i] :
( ( ! [SY8481: $i,SY8482: $i,SY8483: $i] :
( ( c_List_Olist__all2 @ SV297 @ ( c_List_Olist_OCons @ SV740 @ SV1178 @ SV1584 ) @ ( c_List_Olist_OCons @ SY8481 @ SY8482 @ SY8483 ) @ SV1584 @ SY8483 )
| ~ ( c_List_Olist__all2 @ SV297 @ SV1178 @ SY8482 @ SV1584 @ SY8483 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV297 @ SV740 ) @ SY8481 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2897]) ).
thf(3328,plain,
! [SV1585: $i,SV1179: $i,SV741: $i,SV298: $i] :
( ( ! [SY8484: $i,SY8485: $i] :
( ( c_Expr_Oexp_OFAcc @ SV298 @ SV741 @ SV1179 @ SV1585 )
!= ( c_Expr_Oexp_OSeq @ SY8484 @ SY8485 @ SV1585 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2898]) ).
thf(3329,plain,
! [SV1586: $i,SV1180: $i,SV742: $i,SV299: $i] :
( ( ! [SY8486: $i,SY8487: $i] :
( ( c_Expr_Oexp_OWhile @ SV299 @ SV742 @ SV1180 )
!= ( c_Expr_Oexp_OBinOp @ SV1586 @ SY8486 @ SY8487 @ SV1180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2899]) ).
thf(3330,plain,
! [SV743: $i,SV300: $i] :
( ( ( ( c_Type_Oty_OClass @ SV300 )
= ( c_Type_Oty_OClass @ SV743 ) )
= $false )
| ( ( SV300 = SV743 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2900]) ).
thf(3331,plain,
! [SV1587: $i,SV1181: $i,SV744: $i,SV301: $i] :
( ( ! [SY8488: $i,SY8489: $i,SY8490: $i,SY8491: $i] :
( ( c_Expr_Oexp_OBinOp @ SV301 @ SV744 @ SV1181 @ SV1587 )
!= ( c_Expr_Oexp_OFAss @ SY8488 @ SY8489 @ SY8490 @ SY8491 @ SV1587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2901]) ).
thf(3332,plain,
! [SV1588: $i,SV1182: $i,SV745: $i,SV302: $i] :
( ( ! [SY8492: $i,SY8493: $i] :
( ( c_Expr_Oexp_OBinOp @ SV302 @ SV745 @ SV1182 @ SV1588 )
!= ( c_Expr_Oexp_OWhile @ SY8492 @ SY8493 @ SV1588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2902]) ).
thf(3333,plain,
! [SV1589: $i,SV1183: $i,SV746: $i,SV303: $i] :
( ( ! [SY8494: $i] :
( ( c_Expr_Oexp_OSeq @ SV303 @ SV746 @ SV1183 )
!= ( c_Expr_Oexp_OWhile @ SV1589 @ SY8494 @ SV1183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2903]) ).
thf(3334,plain,
! [SV1590: $i,SV1184: $i,SV747: $i,SV304: $i] :
( ( ! [SY8495: $i,SY8496: $i,SY8497: $i,SY8498: $i,SY8499: $i] :
( ( c_Expr_Oexp_OFAss @ SV304 @ SV747 @ SV1184 @ SV1590 @ SY8495 )
!= ( c_Expr_Oexp_OTryCatch @ SY8496 @ SY8497 @ SY8498 @ SY8499 @ SY8495 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2904]) ).
thf(3335,plain,
! [SV1591: $i,SV1185: $i,SV748: $i,SV305: $i] :
( ( ! [SY8500: $i,SY8501: $i,SY8502: $i] :
( ( c_Expr_Oexp_OCond @ SV305 @ SV748 @ SV1185 @ SV1591 )
!= ( c_Expr_Oexp_OBinOp @ SY8500 @ SY8501 @ SY8502 @ SV1591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2905]) ).
thf(3336,plain,
! [SV1592: $i,SV1186: $i,SV749: $i,SV306: $i] :
( ( ! [SY8503: $i,SY8504: $i,SY8505: $i,SY8506: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SV1592 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8503 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SY8504 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8505 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8506 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1592 @ SY8503 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8504 @ SY8505 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8506 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2906]) ).
thf(3337,plain,
! [SV1593: $i,SV1187: $i,SV750: $i,SV307: $i] :
( ( ! [SY8507: $i,SY8508: $i,SY8509: $i] :
( ( c_SmallStep_Oredp @ SV307 @ ( c_Expr_Oexp_OCond @ SV750 @ SV1187 @ SV1593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8507 @ ( c_Expr_Oexp_OCond @ SY8508 @ SV1187 @ SV1593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8509 )
| ~ ( c_SmallStep_Oredp @ SV307 @ SV750 @ SY8507 @ SY8508 @ SY8509 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2907]) ).
thf(3338,plain,
! [SV1594: $i,SV1188: $i,SV751: $i,SV308: $i] :
( ( ! [SY8510: $i,SY8511: $i,SY8512: $i] :
( ( c_Expr_Oexp_OBinOp @ SV308 @ SV751 @ SV1188 @ SV1594 )
!= ( c_Expr_Oexp_OFAcc @ SY8510 @ SY8511 @ SY8512 @ SV1594 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2908]) ).
thf(3339,plain,
! [SV1595: $i,SV1189: $i,SV752: $i,SV309: $i] :
( ( ! [SY8513: $i] :
( ( c_List_Olist__all2 @ SV309 @ SV752 @ SV1189 @ SV1595 @ SY8513 )
| ! [SY8514: $i,SY8515: $i] :
~ ( c_List_Olist__all2 @ SV309 @ ( c_List_Olist_OCons @ SY8514 @ SV752 @ SV1595 ) @ ( c_List_Olist_OCons @ SY8515 @ SV1189 @ SY8513 ) @ SV1595 @ SY8513 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2909]) ).
thf(3340,plain,
! [SV1596: $i,SV1190: $i,SV753: $i,SV310: $i] :
( ( ! [SY8516: $i,SY8517: $i,SY8518: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV310 @ SV753 @ SV1190 @ SV1596 @ SY8516 )
!= ( c_Expr_Oexp_OWhile @ SY8517 @ SY8518 @ SY8516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2910]) ).
thf(3341,plain,
! [SV1597: $i,SV1191: $i,SV754: $i,SV311: $i] :
( ( ! [SY8519: $i] :
( ( c_Objects_Ohext @ SV311 @ SV754 )
| ! [SY8520: $i,SY8521: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1191 @ ( c_Pair @ SV311 @ SV1597 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8519 @ ( c_Pair @ SV754 @ SY8520 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8521 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2911]) ).
thf(3342,plain,
! [SV1598: $i,SV1192: $i,SV755: $i,SV312: $i] :
( ( ! [SY8522: $i,SY8523: $i,SY8524: $i,SY8525: $i,SY8526: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV312 @ SV755 @ SV1192 @ SV1598 @ SY8522 )
!= ( c_Expr_Oexp_OFAss @ SY8523 @ SY8524 @ SY8525 @ SY8526 @ SY8522 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2912]) ).
thf(3343,plain,
! [SV1599: $i,SV1193: $i,SV756: $i,SV313: $i] :
( ( ! [SY8527: $i] :
( ( c_Expr_Oexp_OBinOp @ SV313 @ SV756 @ SV1193 @ SV1599 )
!= ( c_Expr_Oexp_OVal @ SY8527 @ SV1599 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2913]) ).
thf(3344,plain,
! [SV1600: $i,SV1194: $i,SV757: $i,SV314: $i] :
( ( ! [SY8528: $i,SY8529: $i,SY8530: $i,SY8531: $i] :
( ( c_Expr_Oexp_OCond @ SV314 @ SV757 @ SV1194 @ SV1600 )
!= ( c_Expr_Oexp_OFAss @ SY8528 @ SY8529 @ SY8530 @ SY8531 @ SV1600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2914]) ).
thf(3345,plain,
! [SV1601: $i,SV1195: $i,SV758: $i,SV315: $i] :
( ( ! [SY8532: $i,SY8533: $i,SY8534: $i,SY8535: $i] :
( ( c_SmallStep_Oredp @ SV315 @ ( c_Expr_Oexp_OFAss @ SV758 @ SV1195 @ SV1601 @ SY8532 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8533 @ ( c_Expr_Oexp_OFAss @ SY8534 @ SV1195 @ SV1601 @ SY8532 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8535 )
| ~ ( c_SmallStep_Oredp @ SV315 @ SV758 @ SY8533 @ SY8534 @ SY8535 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2915]) ).
thf(3346,plain,
! [SV1602: $i,SV1196: $i,SV759: $i,SV316: $i] :
( ( ! [SY8536: $i,SY8537: $i,SY8538: $i] :
( ( c_SmallStep_Oredp @ SV316 @ ( c_Expr_Oexp_OFAcc @ SV759 @ SV1196 @ SV1602 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8536 @ ( c_Expr_Oexp_OFAcc @ SY8537 @ SV1196 @ SV1602 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8538 )
| ~ ( c_SmallStep_Oredp @ SV316 @ SV759 @ SY8536 @ SY8537 @ SY8538 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2916]) ).
thf(3347,plain,
! [SV1603: $i,SV1197: $i,SV760: $i,SV317: $i] :
( ( ! [SY8539: $i] :
( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ ( c_Expr_Oexp_OBinOp @ SV1603 @ c_Expr_Obop_OEq @ SY8539 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY7524: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SY8539 @ SY7524 )
| ! [SY8541: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1603 @ SY8541 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2917]) ).
thf(3348,plain,
! [SV1604: $i,SV1198: $i,SV761: $i,SV318: $i] :
( ( ! [SY8542: $i,SY8543: $i] :
( ( c_Expr_Oexp_OWhile @ SV318 @ SV761 @ SV1198 )
!= ( c_Expr_Oexp_OCond @ SV1604 @ SY8542 @ SY8543 @ SV1198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2918]) ).
thf(3349,plain,
! [SV1605: $i,SV1199: $i,SV762: $i,SV320: $i] :
( ( ! [SY8544: $i,SY8545: $i,SY8546: $i,SY8547: $i] :
( ( c_SmallStep_Oredp @ SV320 @ ( c_Expr_Oexp_OTryCatch @ SV762 @ SV1199 @ SV1605 @ SY8544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8545 @ ( c_Expr_Oexp_OTryCatch @ SY8546 @ SV1199 @ SV1605 @ SY8544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8547 )
| ~ ( c_SmallStep_Oredp @ SV320 @ SV762 @ SY8545 @ SY8546 @ SY8547 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2919]) ).
thf(3350,plain,
! [SV1606: $i,SV1200: $i,SV763: $i,SV321: $i] :
( ( ! [SY8548: $i,SY8549: $i,SY8550: $i,SY8551: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV321 @ SV763 @ SV1200 @ SV1606 @ SY8548 )
!= ( c_Expr_Oexp_OFAcc @ SY8549 @ SY8550 @ SY8551 @ SY8548 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2920]) ).
thf(3351,plain,
! [SV1607: $i,SV1201: $i,SV764: $i,SV322: $i] :
( ( ! [SY8552: $i,SY8553: $i,SY8554: $i] :
( ( c_Expr_Oexp_OCond @ SV322 @ SV764 @ SV1201 @ SV1607 )
!= ( c_Expr_Oexp_OFAcc @ SY8552 @ SY8553 @ SY8554 @ SV1607 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2921]) ).
thf(3352,plain,
! [SV1608: $i,SV1202: $i,SV765: $i,SV323: $i] :
( ( ! [SY8555: $i,SY8556: $i] :
( ( c_Expr_Oexp_OFAss @ SV323 @ SV765 @ SV1202 @ SV1608 @ SY8555 )
!= ( c_Expr_Oexp_OVal @ SY8556 @ SY8555 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2922]) ).
thf(3353,plain,
! [SV1609: $i,SV1203: $i,SV766: $i,SV324: $i] :
( ( ! [SY8557: $i,SY8558: $i] :
( ( c_Expr_Oexp_OCond @ SV324 @ SV766 @ SV1203 @ SV1609 )
!= ( c_Expr_Oexp_OWhile @ SY8557 @ SY8558 @ SV1609 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2923]) ).
thf(3354,plain,
! [SV1610: $i,SV1204: $i,SV767: $i,SV325: $i] :
( ( ! [SY8559: $i,SY8560: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV325 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV1610 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8559 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8560 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV325 @ SV1204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1610 @ SY8559 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8560 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2924]) ).
thf(3355,plain,
! [SV1611: $i,SV768: $i,SV326: $i] :
( ( ( c_in @ SV326 @ SV768 @ SV1611 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV768 @ SV326 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2925]) ).
thf(3356,plain,
! [SV1612: $i,SV327: $i,SV769: $i] :
( ( ( ~ ( c_in @ SV769 @ SV327 @ SV1612 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV327 @ SV769 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2926]) ).
thf(3357,plain,
! [SV1613: $i,SV1205: $i,SV770: $i,SV328: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ SV328 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV770 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1205 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV770 @ SV1205 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1613 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2927]) ).
thf(3358,plain,
! [SV1614: $i,SV1206: $i,SV771: $i,SV329: $i] :
( ( ! [SY8561: $i] :
( ( c_Expr_Oexp_OFAcc @ SV329 @ SV771 @ SV1206 @ SV1614 )
!= ( c_Expr_Oexp_OVal @ SY8561 @ SV1614 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2928]) ).
thf(3359,plain,
! [SV1615: $i,SV1207: $i,SV772: $i,SV331: $i] :
( ( ! [SY8562: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV331 @ SV772 ) @ SV1207 ) )
| ! [SY8563: $i,SY8564: $i] :
~ ( c_List_Olist__all2 @ SV331 @ ( c_List_Olist_OCons @ SV772 @ SV1615 @ SY8562 ) @ ( c_List_Olist_OCons @ SV1207 @ SY8563 @ SY8564 ) @ SY8562 @ SY8564 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2929]) ).
thf(3360,plain,
! [SV1616: $i,SV1208: $i,SV773: $i,SV332: $i] :
( ( ! [SY8565: $i,SY8566: $i,SY8567: $i] :
( ( c_SmallStep_Oredp @ SV332 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SV1616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8565 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SY8566 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8567 )
| ~ ( c_SmallStep_Oredp @ SV332 @ SV1616 @ SY8565 @ SY8566 @ SY8567 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2930]) ).
thf(3361,plain,
! [SV1617: $i,SV1209: $i,SV774: $i,SV333: $i] :
( ( ! [SY8568: $i,SY8569: $i,SY8570: $i] :
( ( c_Expr_Oexp_OFAcc @ SV333 @ SV774 @ SV1209 @ SV1617 )
!= ( c_Expr_Oexp_OCond @ SY8568 @ SY8569 @ SY8570 @ SV1617 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2931]) ).
thf(3362,plain,
! [SV1210: $i,SV775: $i,SV334: $i] :
( ( ( SV334 = SV775 )
= $true )
| ( ( ! [SY7567: $i,SY7568: $i] :
~ ( c_BigStep_Oeval @ SV1210 @ ( c_Expr_Oexp_OVal @ SY7567 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV775 @ SY7568 @ SV334 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2932]) ).
thf(3363,plain,
! [SV1618: $i,SV1211: $i,SV776: $i,SV335: $i] :
( ( ! [SY8571: $i,SY8572: $i,SY8573: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV335 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1618 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SY8571 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8573 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV335 @ SV1618 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8571 @ SY8572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8573 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2933]) ).
thf(3364,plain,
! [SV1619: $i,SV1212: $i,SV777: $i,SV336: $i] :
( ( ! [SY8574: $i,SY8575: $i,SY8576: $i,SY8577: $i] :
( ( c_Expr_Oexp_OFAss @ SV336 @ SV777 @ SV1212 @ SV1619 @ SY8574 )
!= ( c_Expr_Oexp_OCond @ SY8575 @ SY8576 @ SY8577 @ SY8574 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2934]) ).
thf(3365,plain,
! [SV1620: $i,SV1213: $i,SV778: $i,SV337: $i] :
( ( ! [SY8578: $i] :
( ( c_Expr_Oexp_OWhile @ SV337 @ SV778 @ SV1213 )
!= ( c_Expr_Oexp_OWhile @ SV1620 @ SY8578 @ SV1213 ) )
| ( SV337 = SV1620 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2935]) ).
thf(3366,plain,
! [SV1621: $i,SV1214: $i,SV779: $i,SV338: $i] :
( ( ! [SY8579: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV338 @ SV779 @ SV1214 )
!= ( c_Expr_Oexp_OWhile @ SV1621 @ SY8579 @ SV1214 ) )
| ( SV779 = SY8579 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2936]) ).
thf(3367,plain,
! [SV1622: $i,SV1215: $i,SV780: $i,SV339: $i] :
( ( ! [SY8580: $i,SY8581: $i,SY8582: $i,SY8583: $i] :
( ( c_Expr_Oexp_OBinOp @ SV339 @ SV780 @ SV1215 @ SV1622 )
!= ( c_Expr_Oexp_OTryCatch @ SY8580 @ SY8581 @ SY8582 @ SY8583 @ SV1622 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2937]) ).
thf(3368,plain,
! [SV1623: $i,SV1216: $i,SV781: $i,SV340: $i] :
( ( ! [SY8584: $i] :
( ( c_Expr_Oexp_OWhile @ SV340 @ SV781 @ SV1216 )
!= ( c_Expr_Oexp_OSeq @ SV1623 @ SY8584 @ SV1216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2938]) ).
thf(3369,plain,
! [SV1217: $i,SV782: $i,SV341: $i] :
( ( ( c_List_Olist_OCons @ SV341 @ SV782 @ SV1217 )
= SV782 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2939]) ).
thf(3370,plain,
! [SV1218: $i,SV783: $i,SV342: $i] :
( ( SV342
= ( c_List_Olist_OCons @ SV783 @ SV342 @ SV1218 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2940]) ).
thf(3371,plain,
! [SV1624: $i,SV1219: $i,SV784: $i,SV343: $i] :
( ( ! [SY8585: $i,SY8586: $i,SY8587: $i] :
( ( c_Expr_Oexp_OSeq @ SV343 @ SV784 @ SV1219 )
!= ( c_Expr_Oexp_OFAss @ SV1624 @ SY8585 @ SY8586 @ SY8587 @ SV1219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2941]) ).
thf(3372,plain,
! [SV1625: $i,SV1220: $i,SV785: $i,SV344: $i] :
( ( ! [SY8588: $i,SY8589: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ SV344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV785 @ SV1220 @ SV1625 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8588 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8588 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8589 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2942]) ).
thf(3373,plain,
! [SV1626: $i,SV1221: $i,SV786: $i,SV345: $i] :
( ( ! [SY8590: $i,SY8591: $i,SY8592: $i,SY8593: $i] :
( ( c_Expr_Oexp_OFAss @ SV345 @ SV786 @ SV1221 @ SV1626 @ SY8590 )
!= ( c_Expr_Oexp_OBinOp @ SY8591 @ SY8592 @ SY8593 @ SY8590 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2943]) ).
thf(3374,plain,
! [SV1627: $i,SV1222: $i,SV787: $i,SV346: $i] :
( ( ! [SY8594: $i,SY8595: $i,SY8596: $i] :
( ( c_Expr_Oexp_OWhile @ SV346 @ SV787 @ SV1222 )
!= ( c_Expr_Oexp_OFAss @ SV1627 @ SY8594 @ SY8595 @ SY8596 @ SV1222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2944]) ).
thf(3375,plain,
! [SV1628: $i,SV1223: $i,SV788: $i,SV347: $i] :
( ( ! [SY8597: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SY8597 @ tc_Value_Oval @ tc_Type_Oty )
| ! [SY8598: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV347 @ SV1223 ) @ SY8598 @ SY8597 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SY8598 @ tc_Value_Oval @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2945]) ).
thf(3376,plain,
! [SV1224: $i,SV789: $i,SV348: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV348 @ SV789 ) @ c_Type_Oty_ONT ) @ SV1224 ) )
= $true )
| ( ( ! [SY7608: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV348 @ SY7608 @ SV789 ) @ c_Value_Oval_ONull ) @ SV1224 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2946]) ).
thf(3377,plain,
! [SV1629: $i,SV1225: $i,SV790: $i,SV349: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV349 @ SV790 @ SV1225 ) @ c_Value_Oval_ONull ) @ SV1629 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV349 @ SV1225 ) @ c_Type_Oty_ONT ) @ SV1629 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2947]) ).
thf(3378,plain,
! [SV1630: $i,SV1226: $i,SV791: $i,SV350: $i] :
( ( ! [SY8599: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV350 @ SV791 @ SV1226 )
!= ( c_Expr_Oexp_OSeq @ SV1630 @ SY8599 @ SV1226 ) )
| ( SV791 = SY8599 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2948]) ).
thf(3379,plain,
! [SV1631: $i,SV1227: $i,SV792: $i,SV351: $i] :
( ( ! [SY8600: $i] :
( ( c_Expr_Oexp_OSeq @ SV351 @ SV792 @ SV1227 )
!= ( c_Expr_Oexp_OSeq @ SV1631 @ SY8600 @ SV1227 ) )
| ( SV351 = SV1631 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2949]) ).
thf(3380,plain,
! [SV1632: $i,SV1228: $i,SV793: $i,SV352: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV352 @ SV793 @ SV1228 )
!= ( c_Expr_Oexp_OVal @ SV1632 @ SV1228 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2950]) ).
thf(3381,plain,
! [SV1633: $i,SV1229: $i,SV794: $i,SV353: $i] :
( ( ! [SY8601: $i,SY8602: $i,SY8603: $i,SY8604: $i] :
( ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ SV1633 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SY8601 @ SV1229 @ SV353 @ SY8602 @ SY8603 @ SV1633 @ SY8604 @ SV794 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ ( c_Expr_Oexp_OTryCatch @ SV1633 @ SY8601 @ SY8603 @ SY8604 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8602 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2951]) ).
thf(3382,plain,
! [SV1634: $i,SV1230: $i,SV795: $i,SV354: $i] :
( ( ! [SY8605: $i] :
( ( c_Objects_Ohext @ SV354 @ SV795 )
| ! [SY8606: $i,SY8607: $i] :
~ ( c_BigStep_Oevals @ SV1230 @ SV1634 @ ( c_Pair @ SV354 @ SY8605 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SY8606 @ ( c_Pair @ SV795 @ SY8607 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2952]) ).
thf(3383,plain,
! [SV1231: $i,SV796: $i,SV355: $i] :
( ( ( c_WellType_OWT @ SV355 @ SV796 @ SV1231 @ c_Type_Oty_OBoolean )
= $true )
| ( ( ! [SY7624: $i,SY7625: $i] :
~ ( c_WellType_OWT @ SV355 @ SV796 @ ( c_Expr_Oexp_OWhile @ SV1231 @ SY7624 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7625 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2953]) ).
thf(3384,plain,
! [SV1635: $i,SV1232: $i,SV797: $i,SV356: $i] :
( ( ! [SY8608: $i] :
( ( SV356
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SY8608 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1232 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SY8608 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SY8608 ) ) )
| ! [SY8609: $i] :
~ ( c_WellType_OWT @ SV1232 @ SV797 @ ( c_Expr_Oexp_OCond @ SY8609 @ SV1635 @ SY8608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2954]) ).
thf(3385,plain,
! [SV1636: $i,SV1233: $i,SV798: $i,SV357: $i] :
( ( ! [SY8610: $i,SY8611: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
| ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SY8610 @ SY8611 @ SV1233 )
| ! [SY8612: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SY8610 @ SY8612 @ SV798 )
| ! [SY8613: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SY8610 @ SY8613 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SY8610 @ ( c_Expr_Oexp_OCond @ SY8613 @ SY8612 @ SY8611 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2955]) ).
thf(3386,plain,
! [SV1637: $i,SV1234: $i,SV799: $i,SV358: $i] :
( ( ! [SY8614: $i,SY8615: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
| ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SY8614 @ SY8615 @ SV1234 )
| ! [SY8616: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SY8614 @ SY8616 @ SV799 )
| ! [SY8617: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SY8614 @ SY8617 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SY8614 @ ( c_Expr_Oexp_OCond @ SY8617 @ SY8616 @ SY8615 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2956]) ).
thf(3387,plain,
! [SV1638: $i,SV1235: $i,SV800: $i,SV359: $i] :
( ( ! [SY8618: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV800 @ SV1235 ) @ SV1638 ) @ SY8618 ) )
| ! [SY8619: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SY8619 @ SV1235 ) @ SV1638 ) @ SY8618 ) )
| ~ ( c_Objects_Ohext @ SY8619 @ SV800 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2957]) ).
thf(3388,plain,
! [SV1639: $i,SV1236: $i,SV801: $i,SV361: $i] :
( ( ! [SY8620: $i] :
( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV801 @ SV1236 ) @ SV1639 @ SY8620 @ tc_Value_Oval @ tc_Type_Oty )
| ! [SY8621: $i] :
( ~ ( c_Objects_Ohext @ SY8621 @ SV801 )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SY8621 @ SV1236 ) @ SV1639 @ SY8620 @ tc_Value_Oval @ tc_Type_Oty ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2958]) ).
thf(3389,plain,
! [SV362: $i,SV802: $i,SV1640: $i] :
( ( ( ~ ( c_Objects_Ohext @ SV1640 @ SV802 )
| ~ ( c_Objects_Ohext @ SV362 @ SV1640 ) )
= $true )
| ( ( c_Objects_Ohext @ SV362 @ SV802 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2959]) ).
thf(3390,plain,
! [SV1641: $i,SV1238: $i,SV804: $i,SV364: $i] :
( ( ! [SY8622: $i,SY8623: $i] : ( c_SmallStep_Oredp @ SV364 @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ SV804 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1238 @ SV1641 @ SY8622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8623 @ ( c_Expr_Oexp_OVal @ SV804 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8623 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2961]) ).
thf(3391,plain,
! [SV1642: $i,SV1239: $i,SV805: $i,SV365: $i] :
( ( ( c_WellType_OWT @ SV365 @ SV805 @ SV1239 @ c_Type_Oty_OBoolean )
| ! [SY8624: $i,SY8625: $i] :
~ ( c_WellType_OWT @ SV365 @ SV805 @ ( c_Expr_Oexp_OCond @ SV1239 @ SV1642 @ SY8624 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8625 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2962]) ).
thf(3392,plain,
! [SV1643: $i,SV1240: $i,SV806: $i,SV366: $i] :
( ( ! [SY8626: $i,SY8627: $i,SY8628: $i,SY8629: $i] :
( ( c_Expr_Oexp_OCond @ SV366 @ SV806 @ SV1240 @ SV1643 )
!= ( c_Expr_Oexp_OTryCatch @ SY8626 @ SY8627 @ SY8628 @ SY8629 @ SV1643 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2963]) ).
thf(3393,plain,
! [SV807: $i,SV367: $i,SV1644: $i] :
( ( ( ~ ( c_List_Olist__all2 @ ( c_fequal @ SV1644 ) @ SV367 @ SV807 @ SV1644 @ SV1644 ) )
= $true )
| ( ( SV367 = SV807 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2964]) ).
thf(3394,plain,
! [SV1645: $i,SV1241: $i,SV808: $i,SV368: $i] :
( ( ! [SY8630: $i] :
( ( c_Expr_Oexp_OVal @ SV368 @ SV808 )
!= ( c_Expr_Oexp_OCond @ SV1241 @ SV1645 @ SY8630 @ SV808 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2965]) ).
thf(3395,plain,
! [SV1646: $i,SV1242: $i,SV810: $i,SV370: $i] :
( ( ! [SY8631: $i] :
( ( c_Decl_Ois__class @ SV370 @ SV810 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY8632: $i,SY8633: $i] :
~ ( c_WellType_OWT @ SV370 @ SV1242 @ ( c_Expr_Oexp_OTryCatch @ SV1646 @ SV810 @ SY8631 @ SY8632 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8633 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2966]) ).
thf(3396,plain,
! [SV1647: $i,SV1243: $i,SV811: $i,SV371: $i] :
( ( ! [SY8634: $i,SY8635: $i] :
( ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ SV1647 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV1243 @ SV371 @ SY8634 @ SY8635 @ SV1647 @ SV811 ) )
| ! [SY8636: $i] :
~ ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ ( c_Expr_Oexp_OCond @ SY8636 @ SY8635 @ SV1647 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8634 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2967]) ).
thf(3397,plain,
! [SV1648: $i,SV1244: $i,SV812: $i,SV372: $i] :
( ( ! [SY8637: $i,SY8638: $i] :
( ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ SV1648 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV1244 @ SV372 @ SY8637 @ SV1648 @ SY8638 @ SV812 ) )
| ! [SY8639: $i] :
~ ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ ( c_Expr_Oexp_OCond @ SY8639 @ SV1648 @ SY8638 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8637 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2968]) ).
thf(3398,plain,
! [SV1649: $i,SV1245: $i,SV813: $i,SV373: $i] :
( ( ( c_WellType_OWT @ SV373 @ SV813 @ ( c_Expr_Oexp_OBinOp @ SV1245 @ c_Expr_Obop_OEq @ SV1649 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY8640: $i,SY8641: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV373 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY8640 ) @ SY8641 ) )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1649 @ SY8641 )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1245 @ SY8640 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2969]) ).
thf(3399,plain,
! [SV1650: $i,SV1246: $i,SV814: $i,SV374: $i] :
( ( ( c_WellType_OWT @ SV374 @ SV814 @ ( c_Expr_Oexp_OBinOp @ SV1246 @ c_Expr_Obop_OEq @ SV1650 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY8642: $i,SY8643: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV374 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY8642 ) @ SY8643 ) )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1650 @ SY8642 )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1246 @ SY8643 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2970]) ).
thf(3400,plain,
! [SV1651: $i,SV1247: $i,SV815: $i,SV375: $i] :
( ( ! [SY8644: $i] :
( ( c_Expr_Oexp_OCond @ SV375 @ SV815 @ SV1247 @ SV1651 )
!= ( c_Expr_Oexp_OVal @ SY8644 @ SV1651 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2971]) ).
thf(3401,plain,
! [SV1652: $i,SV1248: $i,SV816: $i,SV376: $i] :
( ( ! [SY8645: $i,SY8646: $i] :
( ( c_Expr_Oexp_OSeq @ SV376 @ SV816 @ SV1248 )
!= ( c_Expr_Oexp_OCond @ SV1652 @ SY8645 @ SY8646 @ SV1248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2972]) ).
thf(3402,plain,
! [SV1653: $i,SV1249: $i,SV817: $i,SV377: $i] :
( ( ! [SY8647: $i,SY8648: $i] :
( ( SV377
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SY8647 @ SY8648 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1249 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SY8647 @ SY8648 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SY8647 @ SY8648 ) ) )
| ! [SY8649: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1249 @ SY8648 @ SV817 @ ( c_Expr_Oexp_OCond @ SY8649 @ SV1653 @ SY8647 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2973]) ).
thf(3403,plain,
! [SV1654: $i,SV1250: $i,SV818: $i,SV378: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) )
| ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SV1654 @ SV818 )
| ! [SY8650: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY8650 @ SV818 )
| ! [SY8651: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY8651 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV378 @ SV1250 @ ( c_Expr_Oexp_OCond @ SY8651 @ SY8650 @ SV1654 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2974]) ).
thf(3404,plain,
! [SV1655: $i,SV1252: $i,SV820: $i,SV380: $i] :
( ( ( c_Map_Omap__le @ SV380 @ SV820 @ SV1252 @ SV1655 )
| ! [SY8652: $i] :
( ~ ( c_Map_Omap__le @ SY8652 @ SV820 @ SV1252 @ SV1655 )
| ~ ( c_Map_Omap__le @ SV380 @ SY8652 @ SV1252 @ SV1655 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2976]) ).
thf(3405,plain,
! [SV1656: $i,SV1253: $i,SV821: $i,SV381: $i] :
( ( ( c_WellType_OWT @ SV381 @ SV821 @ SV1253 @ SV1656 )
| ! [SY8653: $i] :
( ~ ( c_Map_Omap__le @ SY8653 @ SV821 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellType_OWT @ SV381 @ SY8653 @ SV1253 @ SV1656 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2977]) ).
thf(3406,plain,
! [SV1657: $i,SV1254: $i,SV822: $i,SV382: $i] :
( ( ! [SY8654: $i] :
( ( c_Objects_Ohext @ SV382 @ SV822 )
| ! [SY8655: $i,SY8656: $i] :
~ ( c_BigStep_Oeval @ SV1254 @ SV1657 @ ( c_Pair @ SV382 @ SY8654 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SY8655 @ ( c_Pair @ SV822 @ SY8656 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[2978]) ).
thf(3407,plain,
! [SV1658: $i,SV1255: $i,SV823: $i,SV383: $i] :
( ( ! [SY8657: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
| ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY8657 @ SV823 )
| ! [SY8658: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY8658 @ SV823 )
| ! [SY8659: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY8659 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ ( c_Expr_Oexp_OCond @ SY8659 @ SY8658 @ SY8657 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2979]) ).
thf(3408,plain,
! [SV1659: $i,SV1256: $i,SV824: $i,SV384: $i] :
( ( ! [SY8660: $i] :
( ( c_WellType_OWT @ SV384 @ SV824 @ SV1256 @ SV1659 )
| ! [SY8661: $i,SY8662: $i] :
~ ( c_WellType_OWT @ SV384 @ SV824 @ ( c_Expr_Oexp_OTryCatch @ SV1256 @ SY8660 @ SY8661 @ SY8662 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1659 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2980]) ).
thf(3409,plain,
! [SV1660: $i,SV1257: $i,SV825: $i,SV385: $i] :
( ( ! [SY8663: $i] :
( ! [SY8664: $i,SY8665: $i] : ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ ( c_Expr_Oexp_OFAcc @ SV1660 @ SY8663 @ SY8664 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8665 )
| ~ ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ SV1660 @ c_Type_Oty_ONT ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2981]) ).
thf(3410,plain,
! [SV1661: $i,SV1258: $i,SV826: $i,SV386: $i] :
( ( ! [SY8666: $i,SY8667: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SY8666 @ SY8667 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SY8666 @ SY8667 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SY8666 @ SY8667 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SY8666 @ SY8667 ) ) )
| ! [SY8668: $i] :
~ ( c_WellTypeRT_OWTrt @ SV386 @ SY8667 @ SV826 @ ( c_Expr_Oexp_OCond @ SY8668 @ SV1661 @ SY8666 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2982]) ).
thf(3411,plain,
! [SV1662: $i,SV1259: $i,SV827: $i,SV387: $i] :
( ( ! [SY8669: $i] :
( ! [SY8670: $i,SY8671: $i] : ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ ( c_Expr_Oexp_OFAcc @ SV1662 @ SY8669 @ SY8670 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8671 )
| ~ ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ SV1662 @ c_Type_Oty_ONT ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2983]) ).
thf(3412,plain,
! [SV1663: $i,SV1260: $i,SV828: $i,SV388: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SV1260 @ SV1663 @ c_Type_Oty_OBoolean )
| ! [SY8672: $i,SY8673: $i] :
~ ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SV1260 @ ( c_Expr_Oexp_OWhile @ SV1663 @ SY8672 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8673 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2984]) ).
thf(3413,plain,
! [SV1664: $i,SV1261: $i,SV829: $i,SV389: $i] :
( ( ! [SY8674: $i,SY8675: $i] :
( ( c_Expr_Oexp_OCond @ SV389 @ SV829 @ SV1261 @ SV1664 )
!= ( c_Expr_Oexp_OSeq @ SY8674 @ SY8675 @ SV1664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2985]) ).
thf(3414,plain,
! [SV1665: $i,SV1262: $i,SV830: $i,SV390: $i] :
( ( c_SmallStep_Oredp @ SV390 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OVal @ SV830 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1262 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1665 @ SV1262 @ SV1665 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2986]) ).
thf(3415,plain,
! [SV1666: $i,SV1263: $i,SV831: $i,SV391: $i] :
( ( ! [SY8676: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV391 @ SV831 ) @ ( c_Conform_Osko__Conform__Xconf__def__1__1 @ SV391 @ SV1263 @ SV1666 @ SY8676 @ SV831 ) ) @ SV1263 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV391 @ SV1666 @ SV831 ) @ SY8676 ) @ SV1263 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2987]) ).
thf(3416,plain,
! [SV1667: $i,SV1264: $i,SV832: $i,SV392: $i] :
( ( ! [SY8677: $i,SY8678: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ ( c_List_Olist_OCons @ SV1264 @ SV1667 @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ SY8677 @ SY8678 @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1667 @ SY8678 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1264 ) @ SY8677 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2988]) ).
thf(3417,plain,
! [SV1668: $i,SV393: $i,SV833: $i] :
( ( ( ! [SY8679: $i] :
( ~ ( c_Map_Omap__le @ SV833 @ SV393 @ SV1668 @ SY8679 )
| ~ ( c_Map_Omap__le @ SV393 @ SV833 @ SV1668 @ SY8679 ) ) )
= $true )
| ( ( SV393 = SV833 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2989]) ).
thf(3418,plain,
! [SV1669: $i,SV1265: $i,SV834: $i,SV394: $i] :
( ( ! [SY8680: $i,SY8681: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV394 @ SV834 @ SV1265 @ SV1669 @ SY8680 )
!= ( c_Expr_Oexp_OVal @ SY8681 @ SY8680 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2990]) ).
thf(3419,plain,
! [SV395: $i,SV1670: $i,SV835: $i] :
( ( ( ! [SY8682: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV835 @ SV1670 @ SY8682 ) @ SV395 ) @ c_Type_Oty_ONT ) ) )
= $true )
| ( ( SV395 = c_Value_Oval_ONull )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2991]) ).
thf(3420,plain,
! [SV1671: $i,SV1266: $i,SV836: $i,SV396: $i] :
( ( ! [SY8683: $i,SY8684: $i,SY8685: $i,SY8686: $i] :
( ( c_BigStep_Oeval @ SV396 @ ( c_Expr_Oexp_OTryCatch @ SV836 @ SV1266 @ SV1671 @ SY8683 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8684 @ ( c_Expr_Oexp_OVal @ SY8685 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8686 )
| ~ ( c_BigStep_Oeval @ SV396 @ SV836 @ SY8684 @ ( c_Expr_Oexp_OVal @ SY8685 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8686 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2992]) ).
thf(3421,plain,
! [SV1672: $i,SV1267: $i,SV837: $i,SV397: $i] :
( ( ! [SY8687: $i,SY8688: $i,SY8689: $i,SY8690: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV397 @ SV837 @ SV1267 @ SV1672 @ SY8687 )
!= ( c_Expr_Oexp_OCond @ SY8688 @ SY8689 @ SY8690 @ SY8687 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2993]) ).
thf(3422,plain,
! [SV1673: $i,SV1268: $i,SV838: $i,SV398: $i] :
( ( ! [SY8691: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
| ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY8691 @ SV1268 )
| ! [SY8692: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY8692 @ SV838 )
| ! [SY8693: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY8693 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SY8693 @ SY8692 @ SY8691 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2994]) ).
thf(3423,plain,
! [SV1674: $i,SV1269: $i,SV839: $i,SV399: $i] :
( ( ! [SY8694: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
| ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY8694 @ SV1269 )
| ! [SY8695: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY8695 @ SV839 )
| ! [SY8696: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY8696 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SY8696 @ SY8695 @ SY8694 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2995]) ).
thf(3424,plain,
! [SV1675: $i,SV1270: $i,SV840: $i,SV400: $i] :
( ( ! [SY8697: $i,SY8698: $i] :
( ( c_BigStep_Oeval @ SV400 @ ( c_Expr_Oexp_OSeq @ SV840 @ SV1270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1675 @ SY8697 @ SY8698 )
| ! [SY8699: $i] :
( ~ ( c_BigStep_Oeval @ SV400 @ SV1270 @ SY8699 @ SY8697 @ SY8698 )
| ! [SY8700: $i] :
~ ( c_BigStep_Oeval @ SV400 @ SV840 @ SV1675 @ ( c_Expr_Oexp_OVal @ SY8700 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8699 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2996]) ).
thf(3425,plain,
! [SV1676: $i,SV1271: $i,SV841: $i,SV401: $i] :
( ( ! [SY8701: $i,SY8702: $i] :
( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ ( c_Expr_Oexp_OSeq @ SV1676 @ SY8701 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8702 )
| ~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SY8701 @ SY8702 )
| ! [SY8703: $i] :
~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV1676 @ SY8703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2997]) ).
thf(3426,plain,
! [SV1677: $i,SV1272: $i,SV842: $i,SV402: $i] :
( ( ! [SY8704: $i] :
( ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ SV1677 @ c_Type_Oty_OBoolean )
| ! [SY8705: $i,SY8706: $i] :
~ ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ ( c_Expr_Oexp_OCond @ SV1677 @ SY8704 @ SY8705 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8706 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2998]) ).
thf(3427,plain,
! [SV1678: $i,SV1273: $i,SV843: $i,SV403: $i] :
( ( ! [SY8707: $i] :
( ( c_WellType_OWT @ SV403 @ SV843 @ SV1273 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV843 @ SV403 @ SV1678 @ SY8707 @ SV1273 ) )
| ! [SY8708: $i] :
~ ( c_WellType_OWT @ SV403 @ SV843 @ ( c_Expr_Oexp_OCond @ SY8708 @ SY8707 @ SV1273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1678 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2999]) ).
thf(3428,plain,
! [SV1679: $i,SV1274: $i,SV844: $i,SV404: $i] :
( ( ! [SY8709: $i] :
( ( c_WellType_OWT @ SV404 @ SV844 @ SV1274 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV844 @ SV404 @ SV1679 @ SV1274 @ SY8709 ) )
| ! [SY8710: $i] :
~ ( c_WellType_OWT @ SV404 @ SV844 @ ( c_Expr_Oexp_OCond @ SY8710 @ SV1274 @ SY8709 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1679 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3000]) ).
thf(3429,plain,
! [SV1680: $i,SV1275: $i,SV845: $i,SV405: $i] :
( ( ! [SY8711: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV405 @ SV845 ) @ ( c_Conform_Osko__Conform__Xconfs__conv__map__1__1 @ SV405 @ SV1275 @ SV1680 @ SY8711 @ SV845 ) @ SV1275 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV405 @ SV1680 @ SV845 ) @ SY8711 @ SV1275 @ tc_Value_Oval @ tc_Type_Oty ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3001]) ).
thf(3430,plain,
! [SV1681: $i,SV1276: $i,SV846: $i,SV406: $i] :
( ( ! [SY8712: $i,SY8713: $i] :
( ( SV406
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SY8712 @ SY8713 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1276 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SY8712 @ SY8713 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SY8712 @ SY8713 ) ) )
| ! [SY8714: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1276 @ SY8713 @ SV846 @ ( c_Expr_Oexp_OCond @ SY8714 @ SV1681 @ SY8712 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3002]) ).
thf(3431,plain,
! [SV1682: $i,SV1277: $i,SV847: $i,SV407: $i] :
( ( ! [SY8715: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SY8715 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SY8715 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SY8715 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SY8715 ) ) )
| ! [SY8716: $i] :
~ ( c_WellType_OWT @ SV407 @ SV847 @ ( c_Expr_Oexp_OCond @ SY8716 @ SV1682 @ SY8715 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3003]) ).
thf(3432,plain,
! [SV1683: $i,SV1278: $i,SV848: $i,SV408: $i] :
( ( ! [SY8717: $i] :
( ! [SY8718: $i] :
( ( c_Pair @ SV408 @ SV848 @ SV1278 @ SV1683 )
!= ( c_Pair @ SY8717 @ SY8718 @ SV1278 @ SV1683 ) )
| ( SV408 = SY8717 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3004]) ).
thf(3433,plain,
! [SV1684: $i,SV1279: $i,SV849: $i,SV409: $i] :
( ( ! [SY8719: $i,SY8720: $i] :
( ( ( c_Pair @ SV409 @ SV849 @ SV1279 @ SV1684 )
!= ( c_Pair @ SY8719 @ SY8720 @ SV1279 @ SV1684 ) )
| ( SV849 = SY8720 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3005]) ).
thf(3434,plain,
! [SV1685: $i,SV1280: $i,SV850: $i,SV410: $i] :
( ( ! [SY8721: $i,SY8722: $i] :
( ( c_Expr_Oexp_OVal @ SV410 @ SV850 )
!= ( c_Expr_Oexp_OTryCatch @ SV1280 @ SV1685 @ SY8721 @ SY8722 @ SV850 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3006]) ).
thf(3435,plain,
! [SV1686: $i,SV1281: $i,SV851: $i,SV411: $i] :
( ( ! [SY8723: $i] :
( ( c_WellType_OWT @ SV411 @ SV851 @ ( c_Expr_Oexp_OSeq @ SV1281 @ SV1686 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8723 )
| ~ ( c_WellType_OWT @ SV411 @ SV851 @ SV1686 @ SY8723 )
| ! [SY7788: $i] :
~ ( c_WellType_OWT @ SV411 @ SV851 @ SV1281 @ SY7788 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3007]) ).
thf(3436,plain,
! [SV1687: $i,SV1282: $i,SV852: $i,SV412: $i] :
( ( ! [SY8725: $i,SY8726: $i,SY8727: $i] :
( ( ( c_Expr_Oexp_OCond @ SV412 @ SV852 @ SV1282 @ SV1687 )
!= ( c_Expr_Oexp_OCond @ SY8725 @ SY8726 @ SY8727 @ SV1687 ) )
| ( SV1282 = SY8727 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3008]) ).
thf(3437,plain,
! [SV1688: $i,SV1283: $i,SV853: $i,SV413: $i] :
( ( ! [SY8728: $i,SY8729: $i] :
( ! [SY8730: $i] :
( ( c_Expr_Oexp_OCond @ SV413 @ SV853 @ SV1283 @ SV1688 )
!= ( c_Expr_Oexp_OCond @ SY8728 @ SY8729 @ SY8730 @ SV1688 ) )
| ( SV853 = SY8729 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3009]) ).
thf(3438,plain,
! [SV1689: $i,SV1284: $i,SV854: $i,SV414: $i] :
( ( ! [SY8731: $i] :
( ! [SY8732: $i,SY8733: $i] :
( ( c_Expr_Oexp_OCond @ SV414 @ SV854 @ SV1284 @ SV1689 )
!= ( c_Expr_Oexp_OCond @ SY8731 @ SY8732 @ SY8733 @ SV1689 ) )
| ( SV414 = SY8731 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3010]) ).
thf(3439,plain,
! [SV1690: $i,SV1285: $i,SV855: $i,SV415: $i] :
( ( ! [SY8734: $i] :
( ( SV415
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SY8734 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1285 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SY8734 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SY8734 ) ) )
| ! [SY8735: $i] :
~ ( c_WellType_OWT @ SV1285 @ SV855 @ ( c_Expr_Oexp_OCond @ SY8735 @ SV1690 @ SY8734 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3011]) ).
thf(3440,plain,
! [SV1691: $i,SV1286: $i,SV856: $i,SV416: $i] :
( ( ! [SY8736: $i,SY8737: $i,SY8738: $i,SY8739: $i,SY8740: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV416 @ SV856 @ SV1286 @ SV1691 @ SY8736 )
!= ( c_Expr_Oexp_OTryCatch @ SY8737 @ SY8738 @ SY8739 @ SY8740 @ SY8736 ) )
| ( SV1691 = SY8740 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3012]) ).
thf(3441,plain,
! [SV1692: $i,SV1287: $i,SV857: $i,SV417: $i] :
( ( ! [SY8741: $i,SY8742: $i,SY8743: $i,SY8744: $i] :
( ! [SY8745: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV417 @ SV857 @ SV1287 @ SV1692 @ SY8741 )
!= ( c_Expr_Oexp_OTryCatch @ SY8742 @ SY8743 @ SY8744 @ SY8745 @ SY8741 ) )
| ( SV1287 = SY8744 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3013]) ).
thf(3442,plain,
! [SV1693: $i,SV1288: $i,SV858: $i,SV418: $i] :
( ( ! [SY8746: $i,SY8747: $i,SY8748: $i] :
( ! [SY8749: $i,SY8750: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV418 @ SV858 @ SV1288 @ SV1693 @ SY8746 )
!= ( c_Expr_Oexp_OTryCatch @ SY8747 @ SY8748 @ SY8749 @ SY8750 @ SY8746 ) )
| ( SV858 = SY8748 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3014]) ).
thf(3443,plain,
! [SV1694: $i,SV1289: $i,SV859: $i,SV419: $i] :
( ( ! [SY8751: $i,SY8752: $i,SY8753: $i] :
( ! [SY8754: $i,SY8755: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV419 @ SV859 @ SV1289 @ SV1694 @ SY8751 )
!= ( c_Expr_Oexp_OTryCatch @ SY8752 @ SY8753 @ SY8754 @ SY8755 @ SY8751 ) )
| ( SV419 = SY8752 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3015]) ).
thf(3444,plain,
! [SV1695: $i,SV1290: $i,SV861: $i,SV421: $i] :
( ( ( c_Expr_Oexp_OVal @ SV421 @ SV861 )
!= ( c_Expr_Oexp_OSeq @ SV1290 @ SV1695 @ SV861 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3016]) ).
thf(3445,plain,
! [SV1696: $i,SV1292: $i,SV863: $i,SV423: $i] :
( ( ! [SY8756: $i,SY8757: $i,SY8758: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV423 @ SV863 @ SV1292 @ SV1696 @ SY8756 )
!= ( c_Expr_Oexp_OSeq @ SY8757 @ SY8758 @ SY8756 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3018]) ).
thf(3446,plain,
! [SV1697: $i,SV1293: $i,SV864: $i,SV424: $i] :
( ( ! [SY8759: $i,SY8760: $i,SY8761: $i] :
( ( c_Expr_Oexp_OSeq @ SV424 @ SV864 @ SV1293 )
!= ( c_Expr_Oexp_OTryCatch @ SV1697 @ SY8759 @ SY8760 @ SY8761 @ SV1293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3019]) ).
thf(3447,plain,
! [SV1294: $i,SV865: $i,SV425: $i] :
( ( ( ( c_Expr_Oexp_OVal @ SV425 @ SV865 )
!= ( c_Expr_Oexp_OVal @ SV1294 @ SV865 ) )
= $true )
| ( ( SV425 = SV1294 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3020]) ).
thf(3448,plain,
! [SV866: $i,SV426: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV426 @ v_e_092_060_094isub_0622____ @ SV866 ) )
= $true )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV426 @ ( 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____ @ SV426 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ SV426 @ v_P @ SV866 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3021]) ).
thf(3449,plain,
! [SV867: $i,SV427: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV427 @ v_e_092_060_094isub_0622____ @ SV867 ) )
= $true )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV427 @ ( 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 )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XIH__1 @ SV427 @ v_P @ SV867 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV867 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3022]) ).
thf(3450,plain,
! [SV868: $i,SV428: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV428 @ v_e_092_060_094isub_0622____ @ SV868 ) )
= $true )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV428 @ ( 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____ @ SV428 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__2__1 @ SV428 @ v_P @ SV868 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3023]) ).
thf(3451,plain,
! [SV869: $i,SV429: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV429 @ v_e_092_060_094isub_0622____ @ SV869 ) )
= $true )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV429 @ ( 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 )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ SV429 @ v_P @ SV869 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV869 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3024]) ).
thf(3452,plain,
! [SV1698: $i,SV1295: $i,SV870: $i,SV430: $i] :
( ( ! [SY8762: $i,SY8763: $i] :
( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ ( c_Expr_Oexp_OSeq @ SV1698 @ SY8762 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8763 )
| ~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SY8762 @ SY8763 )
| ! [SY8764: $i] :
~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV1698 @ SY8764 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3025]) ).
thf(3453,plain,
! [SV871: $i,SV431: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV431 @ v_e_092_060_094isub_0622____ @ SV871 ) )
= $true )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV431 @ ( 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 )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__2__1 @ SV431 @ v_P @ SV871 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV871 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3026]) ).
thf(3454,plain,
! [SV1699: $i,SV1296: $i,SV872: $i,SV432: $i] :
( ( ! [SY8765: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY8765 @ SV872 )
| ! [SY8766: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY8766 @ SV872 )
| ! [SY8767: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY8767 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ ( c_Expr_Oexp_OCond @ SY8767 @ SY8766 @ SY8765 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3027]) ).
thf(3455,plain,
! [SV873: $i,SV433: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV433 @ v_e_092_060_094isub_0622____ @ SV873 ) )
= $true )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV433 @ ( 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____ @ SV433 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XIH__1 @ SV433 @ v_P @ SV873 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3028]) ).
thf(3456,plain,
! [SV1700: $i,SV1297: $i,SV874: $i,SV434: $i] :
( ( ! [SY8768: $i] :
( ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SV1297 @ SV1700 @ SY8768 )
| ! [SY8769: $i] :
( ~ ( c_Map_Omap__le @ SY8769 @ SV1297 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SY8769 @ SV1700 @ SY8768 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3029]) ).
thf(3457,plain,
! [SV1701: $i,SV1298: $i,SV875: $i,SV435: $i] :
( ( ! [SY8770: $i] :
( ( c_Progress_OWTrt_H @ SV435 @ SV875 @ SV1298 @ SV1701 @ SY8770 )
| ~ ( c_WellTypeRT_OWTrt @ SV435 @ SV875 @ SV1298 @ SV1701 @ SY8770 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3030]) ).
thf(3458,plain,
! [SV1702: $i,SV1299: $i,SV876: $i,SV436: $i] :
( ( ! [SY8771: $i] :
( ( c_WellTypeRT_OWTrt @ SV436 @ SV876 @ SV1299 @ SV1702 @ SY8771 )
| ~ ( c_Progress_OWTrt_H @ SV436 @ SV876 @ SV1299 @ SV1702 @ SY8771 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3031]) ).
thf(3459,plain,
! [SV1703: $i,SV1300: $i,SV877: $i,SV437: $i] :
( ( ! [SY8772: $i,SY8773: $i,SY8774: $i,SY8775: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV437 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV877 @ SV1300 @ SV437 @ SV1703 @ SY8772 @ SY8773 @ SY8774 @ SY8775 ) ) @ SV1703 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV437 @ SY8775 @ SV1300 @ ( c_Expr_Oexp_OTryCatch @ SY8773 @ SV877 @ SY8772 @ SY8774 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3032]) ).
thf(3460,plain,
! [SV1704: $i,SV1302: $i,SV879: $i,SV439: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SV1704 ) )
| ! [SY8776: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SY8776 ) @ SV1704 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SY8776 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3034]) ).
thf(3461,plain,
! [SV1705: $i,SV1303: $i,SV880: $i,SV440: $i] :
( ( ! [SY8777: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SY8777 ) )
| ! [SY8778: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV440 @ SV1303 ) @ SY8778 ) @ SY8777 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SY8778 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3035]) ).
thf(3462,plain,
! [SV1706: $i,SV1304: $i,SV881: $i,SV441: $i] :
( ( ! [SY8779: $i] :
( ( c_WellTypeRT_OWTrt @ SV441 @ SV881 @ SV1304 @ SV1706 @ SY8779 )
| ~ ( c_WellType_OWT @ SV441 @ SV1304 @ SV1706 @ SY8779 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3036]) ).
thf(3463,plain,
! [SV1707: $i,SV1305: $i,SV882: $i,SV442: $i] :
( ( ! [SY8780: $i] :
( ( c_WellTypeRT_OWTrt @ SV442 @ SV882 @ SV1305 @ SV1707 @ SY8780 )
| ! [SY8781: $i] :
( ~ ( c_Objects_Ohext @ SY8781 @ SV882 )
| ~ ( c_WellTypeRT_OWTrt @ SV442 @ SY8781 @ SV1305 @ SV1707 @ SY8780 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3037]) ).
thf(3464,plain,
! [SV1708: $i,SV1306: $i,SV883: $i,SV443: $i] :
( ( ! [SY8782: $i,SY8783: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SY8782 @ SY8783 @ SV1306 )
| ! [SY8784: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SY8782 @ SY8784 @ SV883 )
| ! [SY8785: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SY8782 @ SY8785 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SY8782 @ ( c_Expr_Oexp_OCond @ SY8785 @ SY8784 @ SY8783 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3038]) ).
thf(3465,plain,
! [SV1709: $i,SV1307: $i,SV884: $i,SV444: $i] :
( ( ! [SY8786: $i,SY8787: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SY8786 @ SY8787 @ SV1307 )
| ! [SY8788: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SY8786 @ SY8788 @ SV884 )
| ! [SY8789: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SY8786 @ SY8789 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SY8786 @ ( c_Expr_Oexp_OCond @ SY8789 @ SY8788 @ SY8787 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3039]) ).
thf(3466,plain,
! [SV885: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV885 ) @ v_T_092_060_094isub_0622____ ) )
= $false )
| ( ( ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ SV885 ) )
= $true )
| ( v_thesis____ = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3040]) ).
thf(3467,plain,
! [SV1710: $i,SV1308: $i,SV886: $i,SV445: $i] :
( ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SV1710 @ tc_Type_Oty @ tc_Type_Oty )
| ! [SY8790: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SY8790 @ SV1710 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SY8790 @ tc_Type_Oty @ tc_Type_Oty ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3041]) ).
thf(3468,plain,
! [SV889: $i,SV448: $i,SV1711: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV1711 ) @ SV448 ) @ SV889 ) ) )
= $true )
| ( ( SV448 = SV889 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3043]) ).
thf(3469,plain,
! [SV449: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ SV449 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV449 ) @ v_T_092_060_094isub_0622____ ) )
= $false )
| ( v_thesis____ = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3044]) ).
thf(3470,plain,
! [SV1712: $i,SV1310: $i,SV890: $i,SV450: $i,SV1: $i] :
( ( ( c_BigStep_Oeval @ SV1 @ ( c_Expr_Oexp_Othrow @ SV450 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV890 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1310 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1712 )
| ~ ( c_BigStep_Oeval @ SV1 @ SV450 @ SV890 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1310 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1712 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3045]) ).
thf(3471,plain,
! [SV1713: $i,SV1311: $i,SV891: $i,SV452: $i,SV3: $i] :
( ( ! [SY8791: $i] :
( ( c_BigStep_Oeval @ SV3 @ ( c_Expr_Oexp_OWhile @ SV452 @ SV891 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1311 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8791 )
| ! [SY8792: $i] :
( ~ ( c_BigStep_Oeval @ SV3 @ SV891 @ SY8792 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8791 )
| ~ ( c_BigStep_Oeval @ SV3 @ SV452 @ SV1311 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8792 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3047]) ).
thf(3472,plain,
! [SV1714: $i,SV1312: $i,SV892: $i,SV453: $i,SV6: $i] :
( ( ! [SY8793: $i,SY8794: $i] :
( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1312 @ SV1714 @ SY8793 )
| ~ ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8794 @ SV1714 @ SY8793 )
| ! [SY7886: $i] :
( ! [SY6574: $i] :
~ ( c_BigStep_Oeval @ SV6 @ SV892 @ SY7886 @ ( c_Expr_Oexp_OVal @ SY6574 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8794 )
| ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SV1312 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7886 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3048]) ).
thf(3473,plain,
! [SV1715: $i,SV1314: $i,SV894: $i,SV455: $i,SV8: $i] :
( ( ! [SY8797: $i,SY8798: $i] :
( ( c_BigStep_Oeval @ SV8 @ ( c_Expr_Oexp_OCond @ SV455 @ SV894 @ SV1314 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1715 @ SY8797 @ SY8798 )
| ! [SY8799: $i] :
( ~ ( c_BigStep_Oeval @ SV8 @ SV894 @ SY8799 @ SY8797 @ SY8798 )
| ~ ( c_BigStep_Oeval @ SV8 @ SV455 @ SV1715 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8799 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3050]) ).
thf(3474,plain,
! [SV1716: $i,SV1315: $i,SV895: $i,SV456: $i,SV11: $i] :
( ( c_SmallStep_Oredp @ SV11 @ ( c_Expr_Oexp_OBlock @ SV456 @ SV895 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1315 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1716 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1315 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1716 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3051]) ).
thf(3475,plain,
! [SV1717: $i,SV1316: $i,SV896: $i,SV457: $i,SV12: $i] :
( ( ! [SY8800: $i] : ( c_SmallStep_Oredp @ SV12 @ ( c_Expr_Oexp_OBlock @ SV457 @ SV896 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV457 @ ( c_Expr_Oexp_OVal @ SV1316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1717 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8800 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1717 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8800 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3052]) ).
thf(3476,plain,
! [SV1718: $i,SV1317: $i,SV897: $i,SV458: $i,SV13: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV13 @ SV458 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV897 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1317 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV897 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1317 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1718 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3053]) ).
thf(3477,plain,
! [SV1719: $i,SV1319: $i,SV899: $i,SV460: $i,SV15: $i] :
( ( ! [SY8801: $i,SY8802: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8801 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8802 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8801 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY6593: $i] :
( ! [SY4859: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SY6593 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY4859 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8802 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8801 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY6593 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8801 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3055]) ).
thf(3478,plain,
! [SV1720: $i,SV1320: $i,SV900: $i,SV461: $i,SV16: $i] :
( ( ! [SY8805: $i,SY8806: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV16 @ SV461 @ SV900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SY8805 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8806 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY8807: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV461 @ SY8807 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SY8805 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8806 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV16 @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8807 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8806 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3056]) ).
thf(3479,plain,
! [SV1721: $i,SV1321: $i,SV901: $i,SV462: $i,SV17: $i] :
( ( ! [SY8808: $i] :
( ( c_Expr_Oexp_OBlock @ SV17 @ SV462 @ SV901 @ SV1321 )
!= ( c_Expr_Oexp_OSeq @ SV1721 @ SY8808 @ SV1321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3057]) ).
thf(3480,plain,
! [SV1722: $i,SV1322: $i,SV902: $i,SV463: $i,SV18: $i] :
( ( ( c_Map_Omap__add @ SV18 @ ( c_Map_Omap__add @ SV463 @ SV902 @ SV1322 @ SV1722 ) @ SV1322 @ SV1722 )
= ( c_Map_Omap__add @ ( c_Map_Omap__add @ SV18 @ SV463 @ SV1322 @ SV1722 ) @ SV902 @ SV1322 @ SV1722 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3058]) ).
thf(3481,plain,
! [SV1723: $i,SV1323: $i,SV903: $i,SV464: $i,SV19: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV19 @ SV464 )
!= ( c_Expr_Oexp_OCond @ SV903 @ SV1323 @ SV1723 @ SV464 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3059]) ).
thf(3482,plain,
! [SV1324: $i,SV904: $i,SV465: $i,SV20: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV20 @ SV465 @ SV904 )
= ( c_Expr_Oexp_Othrow @ SV1324 @ SV904 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3060]) ).
thf(3483,plain,
! [SV1724: $i,SV1325: $i,SV905: $i,SV466: $i,SV21: $i] :
( ( ! [SY8809: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV21 @ SV466 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV905 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1724 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8809 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV466 @ SV905 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1724 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8809 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3061]) ).
thf(3484,plain,
! [SV1725: $i,SV1326: $i,SV906: $i,SV467: $i,SV22: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV22 @ SV467 @ SV906 @ SV1326 )
!= ( c_Expr_Oexp_Othrow @ SV1725 @ SV1326 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3062]) ).
thf(3485,plain,
! [SV1327: $i,SV907: $i,SV468: $i,SV23: $i] :
( ( ( c_Expr_Oexp_OCast @ SV23 @ SV468 @ SV907 )
= ( c_Expr_Oexp_Othrow @ SV1327 @ SV907 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3063]) ).
thf(3486,plain,
! [SV1726: $i,SV1328: $i,SV908: $i,SV469: $i,SV24: $i] :
( ( ! [SY8810: $i,SY8811: $i] :
( ( c_Expr_Oexp_OCond @ SV24 @ SV469 @ SV908 @ SV1328 )
!= ( c_Expr_Oexp_OBlock @ SV1726 @ SY8810 @ SY8811 @ SV1328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3064]) ).
thf(3487,plain,
! [SV1727: $i,SV1329: $i,SV909: $i,SV470: $i,SV25: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV25 @ SV470 @ SV909 )
!= ( c_Expr_Oexp_OLAss @ SV1329 @ SV1727 @ SV909 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3065]) ).
thf(3488,plain,
! [SV1330: $i,SV910: $i,SV471: $i,SV26: $i] :
( ( ( c_Expr_Oexp_OCast @ SV26 @ SV471 @ SV910 )
= ( c_Expr_Oexp_OVal @ SV1330 @ SV910 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3066]) ).
thf(3489,plain,
! [SV1728: $i,SV1331: $i,SV911: $i,SV472: $i,SV27: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV27 @ SV472 @ SV911 )
!= ( c_Expr_Oexp_OLAss @ SV1331 @ SV1728 @ SV911 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3067]) ).
thf(3490,plain,
! [SV1729: $i,SV1332: $i,SV912: $i,SV473: $i,SV28: $i] :
( ( ! [SY8812: $i] :
( ( c_Expr_Oexp_OWhile @ SV28 @ SV473 @ SV912 )
!= ( c_Expr_Oexp_OBlock @ SV1332 @ SV1729 @ SY8812 @ SV912 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3068]) ).
thf(3491,plain,
! [SV1730: $i,SV1333: $i,SV913: $i,SV474: $i,SV29: $i] :
( ( ! [SY8813: $i] :
( ( c_BigStep_Oeval @ SV29 @ ( c_Expr_Oexp_OSeq @ SV474 @ SV913 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1333 @ ( c_Expr_Oexp_Othrow @ SV1730 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8813 )
| ~ ( c_BigStep_Oeval @ SV29 @ SV474 @ SV1333 @ ( c_Expr_Oexp_Othrow @ SV1730 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8813 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3069]) ).
thf(3492,plain,
! [SV1731: $i,SV1334: $i,SV914: $i,SV475: $i,SV30: $i] :
( ( ! [SY8814: $i,SY8815: $i] :
( ( c_Expr_Oexp_OBlock @ SV30 @ SV475 @ SV914 @ SV1334 )
!= ( c_Expr_Oexp_OCond @ SV1731 @ SY8814 @ SY8815 @ SV1334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3070]) ).
thf(3493,plain,
! [SV1732: $i,SV1335: $i,SV915: $i,SV476: $i,SV31: $i] :
( ( ! [SY8816: $i] :
( ( c_Expr_Oexp_OCast @ SV31 @ SV476 @ SV915 )
!= ( c_Expr_Oexp_OBlock @ SV1335 @ SV1732 @ SY8816 @ SV915 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3071]) ).
thf(3494,plain,
! [SV1336: $i,SV916: $i,SV477: $i,SV32: $i] :
( ( ( ( c_Map_Omap__add @ SV32 @ SV477 @ SV916 @ SV1336 )
= ( c_Map_Omap__add @ SV477 @ SV32 @ SV916 @ SV1336 ) )
= $true )
| ( ( ~ ( c_Map_Omap__le @ SV32 @ ( c_Map_Omap__add @ SV32 @ SV477 @ SV916 @ SV1336 ) @ SV916 @ SV1336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3072]) ).
thf(3495,plain,
! [SV1337: $i,SV917: $i,SV478: $i,SV33: $i] :
( ( ( ( c_Map_Omap__add @ SV33 @ SV478 @ SV917 @ SV1337 )
!= ( c_Map_Omap__add @ SV478 @ SV33 @ SV917 @ SV1337 ) )
= $true )
| ( ( c_Map_Omap__le @ SV33 @ ( c_Map_Omap__add @ SV33 @ SV478 @ SV917 @ SV1337 ) @ SV917 @ SV1337 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3073]) ).
thf(3496,plain,
! [SV1733: $i,SV1338: $i,SV918: $i,SV479: $i,SV34: $i] :
( ( ! [SY8817: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV34 @ SV479 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1338 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1733 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8817 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV479 @ SV918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1338 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1733 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8817 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3074]) ).
thf(3497,plain,
! [SV1734: $i,SV1340: $i,SV920: $i,SV481: $i,SV36: $i] :
( ( ! [SY8818: $i] :
( ( c_Expr_Oexp_OCall @ SV36 @ SV481 @ SV920 @ SV1340 )
!= ( c_Expr_Oexp_OLAss @ SV1734 @ SY8818 @ SV1340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3076]) ).
thf(3498,plain,
! [SV1735: $i,SV1341: $i,SV921: $i,SV482: $i,SV37: $i] :
( ( ! [SY8819: $i,SY8820: $i] :
( ( c_SmallStep_Oredp @ SV37 @ ( c_Expr_Oexp_OCall @ SV482 @ SV921 @ SV1341 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1735 @ ( c_Expr_Oexp_OCall @ SY8819 @ SV921 @ SV1341 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8820 )
| ~ ( c_SmallStep_Oredp @ SV37 @ SV482 @ SV1735 @ SY8819 @ SY8820 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3077]) ).
thf(3499,plain,
! [SV1736: $i,SV1342: $i,SV922: $i,SV483: $i,SV38: $i] :
( ( ! [SY8821: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV38 @ SV483 @ SV922 @ SV1342 @ SV1736 )
!= ( c_Expr_Oexp_Othrow @ SY8821 @ SV1736 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3078]) ).
thf(3500,plain,
! [SV1737: $i,SV1343: $i,SV923: $i,SV484: $i,SV39: $i] :
( ( ! [SY8822: $i,SY8823: $i] :
( ( c_Expr_Oexp_OCast @ SV39 @ SV484 @ SV923 )
!= ( c_Expr_Oexp_OTryCatch @ SV1343 @ SV1737 @ SY8822 @ SY8823 @ SV923 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3079]) ).
thf(3501,plain,
! [SV1738: $i,SV1344: $i,SV924: $i,SV485: $i,SV40: $i] :
( ( ! [SY8824: $i] :
( ( c_SmallStep_Oredp @ SV40 @ ( c_Expr_Oexp_OLAss @ SV485 @ SV924 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1344 @ ( c_Expr_Oexp_OLAss @ SV485 @ SV1738 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8824 )
| ~ ( c_SmallStep_Oredp @ SV40 @ SV924 @ SV1344 @ SV1738 @ SY8824 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3080]) ).
thf(3502,plain,
! [SV1739: $i,SV1345: $i,SV925: $i,SV486: $i,SV41: $i] :
( ( ! [SY8825: $i,SY8826: $i,SY8827: $i] :
( ( c_Expr_Oexp_OFAss @ SV41 @ SV486 @ SV925 @ SV1345 @ SV1739 )
!= ( c_Expr_Oexp_OCall @ SY8825 @ SY8826 @ SY8827 @ SV1739 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3081]) ).
thf(3503,plain,
! [SV1740: $i,SV1346: $i,SV926: $i,SV487: $i,SV42: $i] :
( ( ( c_BigStep_Oeval @ SV42 @ ( c_Expr_Oexp_Othrow @ SV487 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV926 @ ( c_Expr_Oexp_Othrow @ SV1346 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1740 )
| ~ ( c_BigStep_Oeval @ SV42 @ SV487 @ SV926 @ ( c_Expr_Oexp_Othrow @ SV1346 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1740 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3082]) ).
thf(3504,plain,
! [SV1741: $i,SV1347: $i,SV927: $i,SV488: $i,SV43: $i] :
( ( ! [SY8828: $i] :
( ( c_Expr_Oexp_OCast @ SV43 @ SV488 @ SV927 )
!= ( c_Expr_Oexp_OCond @ SV1347 @ SV1741 @ SY8828 @ SV927 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3083]) ).
thf(3505,plain,
! [SV1742: $i,SV1348: $i,SV928: $i,SV489: $i,SV44: $i] :
( ( ( ( c_Expr_Oexp_OLAss @ SV44 @ SV489 @ SV928 )
!= ( c_Expr_Oexp_OLAss @ SV1348 @ SV1742 @ SV928 ) )
| ( SV489 = SV1742 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3084]) ).
thf(3506,plain,
! [SV1349: $i,SV929: $i,SV490: $i,SV45: $i] :
( ( ( ! [SY7948: $i] :
( ( c_Expr_Oexp_OLAss @ SV45 @ SV490 @ SV929 )
!= ( c_Expr_Oexp_OLAss @ SV1349 @ SY7948 @ SV929 ) ) )
= $true )
| ( ( SV45 = SV1349 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3085]) ).
thf(3507,plain,
! [SV1743: $i,SV1350: $i,SV930: $i,SV491: $i,SV46: $i] :
( ( ! [SY8829: $i] :
( ( c_Expr_Oexp_OLAss @ SV46 @ SV491 @ SV930 )
!= ( c_Expr_Oexp_OCond @ SV1350 @ SV1743 @ SY8829 @ SV930 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3086]) ).
thf(3508,plain,
! [SV1744: $i,SV1351: $i,SV931: $i,SV492: $i,SV47: $i] :
( ( ! [SY8830: $i,SY8831: $i] :
( ( c_Expr_Oexp_OFAss @ SV47 @ SV492 @ SV931 @ SV1351 @ SV1744 )
!= ( c_Expr_Oexp_OCast @ SY8830 @ SY8831 @ SV1744 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3087]) ).
thf(3509,plain,
! [SV1745: $i,SV1352: $i,SV932: $i,SV493: $i,SV48: $i] :
( ( ! [SY8832: $i,SY8833: $i,SY8834: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV48 @ SV493 @ SV932 @ SV1352 @ SV1745 )
!= ( c_Expr_Oexp_OBlock @ SY8832 @ SY8833 @ SY8834 @ SV1745 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3088]) ).
thf(3510,plain,
! [SV1353: $i,SV933: $i,SV494: $i,SV49: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV49 @ SV494 @ SV933 )
= ( c_Expr_Oexp_Othrow @ SV1353 @ SV933 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3089]) ).
thf(3511,plain,
! [SV1746: $i,SV1354: $i,SV934: $i,SV495: $i,SV50: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV50 @ SV495 @ SV934 @ SV1354 )
!= ( c_Expr_Oexp_Othrow @ SV1746 @ SV1354 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3090]) ).
thf(3512,plain,
! [SV1747: $i,SV1355: $i,SV935: $i,SV496: $i,SV51: $i] :
( ( ! [SY8835: $i,SY8836: $i] :
( ( c_Expr_Oexp_OFAcc @ SV51 @ SV496 @ SV935 @ SV1355 )
!= ( c_Expr_Oexp_OCall @ SV1747 @ SY8835 @ SY8836 @ SV1355 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3091]) ).
thf(3513,plain,
! [SV1748: $i,SV1356: $i,SV936: $i,SV497: $i,SV52: $i] :
( ( ! [SY8837: $i,SY8838: $i,SY8839: $i] :
( ( c_BigStep_Oeval @ SV52 @ ( c_Expr_Oexp_OFAss @ SV497 @ SV936 @ SV1356 @ SV1748 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8837 @ ( c_Expr_Oexp_Othrow @ SY8838 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8839 )
| ~ ( c_BigStep_Oeval @ SV52 @ SV497 @ SY8837 @ ( c_Expr_Oexp_Othrow @ SY8838 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8839 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3092]) ).
thf(3514,plain,
! [SV1749: $i,SV1357: $i,SV937: $i,SV498: $i,SV53: $i] :
( ( ! [SY8840: $i] :
( ( c_Expr_Oexp_OFAcc @ SV53 @ SV498 @ SV937 @ SV1357 )
!= ( c_Expr_Oexp_OCast @ SV1749 @ SY8840 @ SV1357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3093]) ).
thf(3515,plain,
! [SV1750: $i,SV1358: $i,SV938: $i,SV499: $i,SV54: $i] :
( ( ! [SY8841: $i] :
( ( c_Expr_Oexp_OSeq @ SV54 @ SV499 @ SV938 )
!= ( c_Expr_Oexp_OBlock @ SV1358 @ SV1750 @ SY8841 @ SV938 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3094]) ).
thf(3516,plain,
! [SV1360: $i,SV940: $i,SV501: $i,SV56: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV56 @ SV501 )
= ( c_Expr_Oexp_OLAss @ SV940 @ SV1360 @ SV501 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3096]) ).
thf(3517,plain,
! [SV1751: $i,SV1361: $i,SV941: $i,SV502: $i,SV57: $i] :
( ( ! [SY8842: $i,SY8843: $i] :
( ( c_Expr_Oexp_OBinOp @ SV57 @ SV502 @ SV941 @ SV1361 )
!= ( c_Expr_Oexp_OBlock @ SV1751 @ SY8842 @ SY8843 @ SV1361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3097]) ).
thf(3518,plain,
! [SV1752: $i,SV1362: $i,SV942: $i,SV503: $i,SV58: $i] :
( ( ! [SY8844: $i] :
( ( c_SmallStep_Oredp @ SV58 @ ( c_Expr_Oexp_OCast @ SV503 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1362 @ ( c_Expr_Oexp_OCast @ SV503 @ SV1752 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8844 )
| ~ ( c_SmallStep_Oredp @ SV58 @ SV942 @ SV1362 @ SV1752 @ SY8844 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3098]) ).
thf(3519,plain,
! [SV1753: $i,SV1363: $i,SV943: $i,SV504: $i,SV59: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ SV1363 @ SV1753 @ SV504 @ SV943 )
| ! [SY8845: $i,SY8846: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ ( c_List_Olist_OCons @ SY8845 @ SV1363 @ SV504 ) @ ( c_List_Olist_OCons @ SY8846 @ SV1753 @ SV943 ) @ SV504 @ SV943 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3099]) ).
thf(3520,plain,
! [SV1754: $i,SV1364: $i,SV944: $i,SV505: $i,SV60: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ SV60 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV505 @ SV944 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1364 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV60 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1364 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1754 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3100]) ).
thf(3521,plain,
! [SV1755: $i,SV1365: $i,SV945: $i,SV506: $i,SV61: $i] :
( ( ! [SY8847: $i,SY8848: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV61 @ SV506 @ SV945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1365 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1755 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8847 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8848 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV61 @ SV1365 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1755 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8847 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8848 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3101]) ).
thf(3522,plain,
! [SV1756: $i,SV1366: $i,SV946: $i,SV507: $i,SV62: $i] :
( ( ! [SY8849: $i,SY8850: $i] :
( ( c_BigStep_Oeval @ SV62 @ ( c_Expr_Oexp_OFAcc @ SV507 @ SV946 @ SV1366 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1756 @ ( c_Expr_Oexp_Othrow @ SY8849 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8850 )
| ~ ( c_BigStep_Oeval @ SV62 @ SV507 @ SV1756 @ ( c_Expr_Oexp_Othrow @ SY8849 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8850 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3102]) ).
thf(3523,plain,
! [SV1757: $i,SV1367: $i,SV948: $i,SV509: $i,SV64: $i] :
( ( ! [SY8851: $i] :
( ( c_Expr_Oexp_OBlock @ SV64 @ SV509 @ SV948 @ SV1367 )
!= ( c_Expr_Oexp_OLAss @ SV1757 @ SY8851 @ SV1367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3104]) ).
thf(3524,plain,
! [SV1758: $i,SV1368: $i,SV949: $i,SV510: $i,SV65: $i] :
( ( ( c_Expr_Oexp_OVal @ SV65 @ SV510 )
!= ( c_Expr_Oexp_OCall @ SV949 @ SV1368 @ SV1758 @ SV510 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3105]) ).
thf(3525,plain,
! [SV1759: $i,SV1369: $i,SV950: $i,SV511: $i,SV66: $i] :
( ( ! [SY8852: $i,SY8853: $i,SY8854: $i] :
( ( c_Expr_Oexp_OCall @ SV66 @ SV511 @ SV950 @ SV1369 )
!= ( c_Expr_Oexp_OTryCatch @ SV1759 @ SY8852 @ SY8853 @ SY8854 @ SV1369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3106]) ).
thf(3526,plain,
! [SV1760: $i,SV1370: $i,SV951: $i,SV512: $i,SV67: $i] :
( ( ( c_Expr_Oexp_OCast @ SV67 @ SV512 @ SV951 )
!= ( c_Expr_Oexp_OSeq @ SV1370 @ SV1760 @ SV951 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3107]) ).
thf(3527,plain,
! [SV1761: $i,SV1371: $i,SV952: $i,SV513: $i,SV68: $i] :
( ( ( c_Expr_Oexp_OVal @ SV68 @ SV513 )
!= ( c_Expr_Oexp_OBlock @ SV952 @ SV1371 @ SV1761 @ SV513 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3108]) ).
thf(3528,plain,
! [SV1372: $i,SV953: $i,SV514: $i,SV69: $i] :
( ( ( c_Expr_Oexp_OVal @ SV69 @ SV514 )
= ( c_Expr_Oexp_OCast @ SV953 @ SV1372 @ SV514 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3109]) ).
thf(3529,plain,
! [SV1373: $i,SV954: $i,SV515: $i,SV70: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV70 @ SV515 )
= ( c_Expr_Oexp_OWhile @ SV954 @ SV1373 @ SV515 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3110]) ).
thf(3530,plain,
! [SV1762: $i,SV1374: $i,SV955: $i,SV516: $i,SV71: $i] :
( ( ! [SY8855: $i,SY8856: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV71 @ SV516 @ SV955 @ SV1374 )
!= ( c_Expr_Oexp_OBlock @ SV1762 @ SY8855 @ SY8856 @ SV1374 ) )
| ( SV955 = SY8856 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3111]) ).
thf(3531,plain,
! [SV1763: $i,SV1375: $i,SV956: $i,SV517: $i,SV72: $i] :
( ( ! [SY8857: $i] :
( ! [SY8858: $i] :
( ( c_Expr_Oexp_OBlock @ SV72 @ SV517 @ SV956 @ SV1375 )
!= ( c_Expr_Oexp_OBlock @ SV1763 @ SY8857 @ SY8858 @ SV1375 ) )
| ( SV517 = SY8857 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3112]) ).
thf(3532,plain,
! [SV1764: $i,SV1376: $i,SV957: $i,SV518: $i,SV73: $i] :
( ( ! [SY8859: $i,SY8860: $i] :
( ( c_Expr_Oexp_OBlock @ SV73 @ SV518 @ SV957 @ SV1376 )
!= ( c_Expr_Oexp_OBlock @ SV1764 @ SY8859 @ SY8860 @ SV1376 ) )
| ( SV73 = SV1764 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3113]) ).
thf(3533,plain,
! [SV1765: $i,SV1377: $i,SV958: $i,SV519: $i,SV74: $i] :
( ( ( c_Expr_Oexp_OCast @ SV74 @ SV519 @ SV958 )
!= ( c_Expr_Oexp_OLAss @ SV1377 @ SV1765 @ SV958 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3114]) ).
thf(3534,plain,
! [SV1766: $i,SV1378: $i,SV959: $i,SV520: $i,SV75: $i] :
( ( ! [SY8861: $i,SY8862: $i,SY8863: $i] :
( ( c_Expr_Oexp_OBlock @ SV75 @ SV520 @ SV959 @ SV1378 )
!= ( c_Expr_Oexp_OTryCatch @ SV1766 @ SY8861 @ SY8862 @ SY8863 @ SV1378 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3115]) ).
thf(3535,plain,
! [SV1379: $i,SV960: $i,SV521: $i,SV76: $i] :
( ( ( SV76
= ( c_Type_Oty_OClass @ SV521 ) )
= $true )
| ( ( ! [SY8008: $i,SY8009: $i] :
~ ( c_WellTypeRT_OWTrt @ SV960 @ SV1379 @ SY8008 @ ( c_Expr_Oexp_OCast @ SV521 @ SY8009 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3116]) ).
thf(3536,plain,
! [SV1767: $i,SV1380: $i,SV961: $i,SV522: $i,SV77: $i] :
( ( ! [SY8864: $i] :
( ( c_Expr_Oexp_OCond @ SV77 @ SV522 @ SV961 @ SV1380 )
!= ( c_Expr_Oexp_OLAss @ SV1767 @ SY8864 @ SV1380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3117]) ).
thf(3537,plain,
! [SV1768: $i,SV1381: $i,SV962: $i,SV523: $i,SV78: $i] :
( ( ! [SY8865: $i,SY8866: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV78 @ SV523 @ SV962 @ SV1381 @ SV1768 )
!= ( c_Expr_Oexp_OLAss @ SY8865 @ SY8866 @ SV1768 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3118]) ).
thf(3538,plain,
! [SV1769: $i,SV1382: $i,SV963: $i,SV524: $i,SV79: $i] :
( ( ! [SY8867: $i] :
( ( c_Expr_Oexp_OWhile @ SV79 @ SV524 @ SV963 )
!= ( c_Expr_Oexp_OCall @ SV1382 @ SV1769 @ SY8867 @ SV963 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3119]) ).
thf(3539,plain,
! [SV1770: $i,SV1383: $i,SV964: $i,SV525: $i,SV80: $i] :
( ( ! [SY8868: $i] : ( c_SmallStep_Oredp @ SV80 @ ( c_Expr_Oexp_OBlock @ SV525 @ SV964 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV525 @ ( c_Expr_Oexp_OVal @ SV1383 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ SV1770 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8868 @ ( c_Expr_Oexp_OVal @ SV1770 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8868 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3120]) ).
thf(3540,plain,
! [SV1384: $i,SV965: $i,SV526: $i,SV81: $i] :
( ( ( c_Decl_Ois__class @ SV81 @ SV526 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $true )
| ( ( ! [SY8019: $i,SY8020: $i] :
~ ( c_WellTypeRT_OWTrt @ SV81 @ SV965 @ SV1384 @ ( c_Expr_Oexp_OCast @ SV526 @ SY8019 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8020 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3121]) ).
thf(3541,plain,
! [SV1771: $i,SV1385: $i,SV966: $i,SV527: $i,SV82: $i] :
( ( ! [SY8869: $i] :
( ( c_Expr_Oexp_OSeq @ SV82 @ SV527 @ SV966 )
!= ( c_Expr_Oexp_OCall @ SV1385 @ SV1771 @ SY8869 @ SV966 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3122]) ).
thf(3542,plain,
! [SV1772: $i,SV1386: $i,SV967: $i,SV528: $i,SV83: $i] :
( ( ! [SY8870: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV83 @ SV528 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV83 @ ( c_Expr_Oexp_OVal @ SV967 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1386 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1772 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1386 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1772 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8870 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3123]) ).
thf(3543,plain,
! [SV1773: $i,SV1387: $i,SV968: $i,SV529: $i,SV84: $i] :
( ( ! [SY8871: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV84 @ SV529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8871 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY8872: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV529 @ SY8872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8871 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV84 @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8871 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3124]) ).
thf(3544,plain,
! [SV1774: $i,SV1388: $i,SV969: $i,SV530: $i,SV85: $i] :
( ( ( c_Expr_Oexp_OCond @ SV85 @ SV530 @ SV969 @ SV1388 )
!= ( c_Expr_Oexp_Othrow @ SV1774 @ SV1388 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3125]) ).
thf(3545,plain,
! [SV1775: $i,SV1389: $i,SV970: $i,SV531: $i,SV86: $i] :
( ( ! [SY8873: $i] :
( ( c_Expr_Oexp_OLAss @ SV86 @ SV531 @ SV970 )
!= ( c_Expr_Oexp_OBlock @ SV1389 @ SV1775 @ SY8873 @ SV970 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3126]) ).
thf(3546,plain,
! [SV1776: $i,SV1390: $i,SV971: $i,SV532: $i,SV87: $i] :
( ( ! [SY8874: $i] :
( ( c_Expr_Oexp_OCast @ SV87 @ SV532 @ SV971 )
!= ( c_Expr_Oexp_OBinOp @ SV1390 @ SV1776 @ SY8874 @ SV971 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3127]) ).
thf(3547,plain,
! [SV1777: $i,SV533: $i,SV972: $i,SV88: $i] :
( ( ( ! [SY8875: $i] :
~ ( c_WellType_OWT @ SV88 @ SV972 @ ( c_Expr_Oexp_OCast @ SV533 @ SV1777 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8875 ) )
= $true )
| ( ( c_Decl_Ois__class @ SV88 @ SV533 @ ( 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)],[3128]) ).
thf(3548,plain,
! [SV1778: $i,SV1391: $i,SV973: $i,SV534: $i,SV89: $i] :
( ( ! [SY8876: $i,SY8877: $i] :
( ( c_Expr_Oexp_OBlock @ SV89 @ SV534 @ SV973 @ SV1391 )
!= ( c_Expr_Oexp_OBinOp @ SV1778 @ SY8876 @ SY8877 @ SV1391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3129]) ).
thf(3549,plain,
! [SV1779: $i,SV1392: $i,SV974: $i,SV535: $i,SV90: $i] :
( ( ( c_BigStep_Oeval @ SV90 @ ( c_Expr_Oexp_OWhile @ SV535 @ SV974 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1392 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1779 )
| ~ ( c_BigStep_Oeval @ SV90 @ SV535 @ SV1392 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1779 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3130]) ).
thf(3550,plain,
! [SV1393: $i,SV975: $i,SV536: $i,SV91: $i] :
( ( ( c_Expr_Oexp_OVal @ SV91 @ SV536 )
= ( c_Expr_Oexp_OLAss @ SV975 @ SV1393 @ SV536 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3131]) ).
thf(3551,plain,
! [SV92: $i,SV537: $i,SV1780: $i,SV976: $i] :
( ( ( ! [SY8878: $i] :
~ ( c_WellType_OWT @ SV976 @ SV1780 @ ( c_Expr_Oexp_OCast @ SV537 @ SY8878 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV92 ) )
= $true )
| ( ( SV92
= ( c_Type_Oty_OClass @ SV537 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3132]) ).
thf(3552,plain,
! [SV1781: $i,SV1394: $i,SV978: $i,SV539: $i,SV94: $i] :
( ( ! [SY8879: $i,SY8880: $i] :
( ( c_BigStep_Oeval @ SV94 @ ( c_Expr_Oexp_OCall @ SV539 @ SV978 @ SV1394 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1781 @ ( c_Expr_Oexp_Othrow @ SY8879 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8880 )
| ~ ( c_BigStep_Oeval @ SV94 @ SV539 @ SV1781 @ ( c_Expr_Oexp_Othrow @ SY8879 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8880 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3133]) ).
thf(3553,plain,
! [SV1395: $i,SV979: $i,SV540: $i,SV95: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV95 @ SV540 @ SV979 )
= ( c_Expr_Oexp_Othrow @ SV1395 @ SV979 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3134]) ).
thf(3554,plain,
! [SV1782: $i,SV1396: $i,SV980: $i,SV541: $i,SV96: $i] :
( ( ! [SY8881: $i] :
( ( c_Expr_Oexp_OBinOp @ SV96 @ SV541 @ SV980 @ SV1396 )
!= ( c_Expr_Oexp_OCast @ SV1782 @ SY8881 @ SV1396 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3135]) ).
thf(3555,plain,
! [SV1397: $i,SV981: $i,SV542: $i,SV97: $i] :
( ( ( c_Map_Omap__le @ SV97 @ SV542 @ SV981 @ SV1397 )
= $true )
| ( ( ! [SY8042: $i] :
~ ( c_Map_Omap__le @ ( c_Map_Omap__add @ SY8042 @ SV97 @ SV981 @ SV1397 ) @ SV542 @ SV981 @ SV1397 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3136]) ).
thf(3556,plain,
! [SV1783: $i,SV1398: $i,SV982: $i,SV543: $i,SV98: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV98 @ SV543 @ SV982 )
!= ( c_Expr_Oexp_OSeq @ SV1398 @ SV1783 @ SV982 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3137]) ).
thf(3557,plain,
! [SV1784: $i,SV1399: $i,SV983: $i,SV544: $i,SV99: $i] :
( ( c_SmallStep_Oredp @ SV99 @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ SV544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV983 @ SV1399 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1784 @ ( c_Expr_Oexp_Othrow @ SV544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1784 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3138]) ).
thf(3558,plain,
! [SV1785: $i,SV1400: $i,SV984: $i,SV545: $i,SV100: $i] :
( ( ! [SY8882: $i,SY8883: $i] :
( ( c_Expr_Oexp_OBinOp @ SV100 @ SV545 @ SV984 @ SV1400 )
!= ( c_Expr_Oexp_OCall @ SV1785 @ SY8882 @ SY8883 @ SV1400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3139]) ).
thf(3559,plain,
! [SV1786: $i,SV1401: $i,SV985: $i,SV546: $i,SV101: $i] :
( ( ! [SY8884: $i] :
( ( c_Expr_Oexp_OLAss @ SV101 @ SV546 @ SV985 )
!= ( c_Expr_Oexp_OBinOp @ SV1401 @ SV1786 @ SY8884 @ SV985 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3140]) ).
thf(3560,plain,
! [SV1787: $i,SV1402: $i,SV986: $i,SV547: $i,SV102: $i] :
( ( ! [SY8885: $i,SY8886: $i] :
( ( c_Expr_Oexp_OCall @ SV102 @ SV547 @ SV986 @ SV1402 )
!= ( c_Expr_Oexp_OCond @ SV1787 @ SY8885 @ SY8886 @ SV1402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3141]) ).
thf(3561,plain,
! [SV1788: $i,SV1404: $i,SV988: $i,SV549: $i,SV104: $i] :
( ( ! [SY8887: $i,SY8888: $i] :
( ( c_Expr_Oexp_OCall @ SV104 @ SV549 @ SV988 @ SV1404 )
!= ( c_Expr_Oexp_OBlock @ SV1788 @ SY8887 @ SY8888 @ SV1404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3143]) ).
thf(3562,plain,
! [SV1789: $i,SV1405: $i,SV989: $i,SV550: $i,SV105: $i] :
( ( c_SmallStep_Oredp @ SV105 @ ( c_Expr_Oexp_OCall @ ( c_Expr_Oexp_Othrow @ SV550 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV989 @ SV1405 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1789 @ ( c_Expr_Oexp_Othrow @ SV550 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1789 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3144]) ).
thf(3563,plain,
! [SV1790: $i,SV1406: $i,SV990: $i,SV551: $i,SV106: $i] :
( ( ! [SY8889: $i,SY8890: $i] :
( ( c_BigStep_Oeval @ SV106 @ ( c_Expr_Oexp_OCond @ SV551 @ SV990 @ SV1406 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1790 @ SY8889 @ SY8890 )
| ! [SY8891: $i] :
( ~ ( c_BigStep_Oeval @ SV106 @ SV1406 @ SY8891 @ SY8889 @ SY8890 )
| ~ ( c_BigStep_Oeval @ SV106 @ SV551 @ SV1790 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8891 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3145]) ).
thf(3564,plain,
! [SV1791: $i,SV1407: $i,SV991: $i,SV552: $i,SV107: $i] :
( ( ! [SY8892: $i] :
( ( c_Expr_Oexp_OCall @ SV107 @ SV552 @ SV991 @ SV1407 )
!= ( c_Expr_Oexp_OSeq @ SV1791 @ SY8892 @ SV1407 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3146]) ).
thf(3565,plain,
! [SV992: $i,SV553: $i,SV108: $i] :
( ( ( ( c_Expr_Oexp_Othrow @ SV108 @ SV553 )
= ( c_Expr_Oexp_Othrow @ SV992 @ SV553 ) )
= $false )
| ( ( SV108 = SV992 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3147]) ).
thf(3566,plain,
! [SV1792: $i,SV1408: $i,SV993: $i,SV554: $i,SV109: $i] :
( ( ! [SY8893: $i] :
( ( c_Expr_Oexp_OFAcc @ SV109 @ SV554 @ SV993 @ SV1408 )
!= ( c_Expr_Oexp_OLAss @ SV1792 @ SY8893 @ SV1408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3148]) ).
thf(3567,plain,
! [SV1793: $i,SV1409: $i,SV994: $i,SV555: $i,SV110: $i] :
( ( ! [SY8894: $i,SY8895: $i] :
( ( c_Expr_Oexp_OLAss @ SV110 @ SV555 @ SV994 )
!= ( c_Expr_Oexp_OFAss @ SV1409 @ SV1793 @ SY8894 @ SY8895 @ SV994 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3149]) ).
thf(3568,plain,
! [SV1794: $i,SV1410: $i,SV995: $i,SV556: $i,SV111: $i] :
( ( ! [SY8896: $i] :
( ( c_BigStep_Oeval @ SV111 @ ( c_Expr_Oexp_OLAss @ SV556 @ SV995 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1410 @ ( c_Expr_Oexp_Othrow @ SV1794 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8896 )
| ~ ( c_BigStep_Oeval @ SV111 @ SV995 @ SV1410 @ ( c_Expr_Oexp_Othrow @ SV1794 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8896 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3150]) ).
thf(3569,plain,
! [SV1795: $i,SV1411: $i,SV996: $i,SV557: $i,SV112: $i] :
( ( ( c_Expr_Oexp_OCall @ SV112 @ SV557 @ SV996 @ SV1411 )
!= ( c_Expr_Oexp_Othrow @ SV1795 @ SV1411 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3151]) ).
thf(3570,plain,
! [SV1796: $i,SV1412: $i,SV997: $i,SV558: $i,SV113: $i] :
( ( ! [SY8897: $i,SY8898: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV113 @ SV558 @ SV997 @ SV1412 @ SV1796 )
!= ( c_Expr_Oexp_OCast @ SY8897 @ SY8898 @ SV1796 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3152]) ).
thf(3571,plain,
! [SV1797: $i,SV1413: $i,SV998: $i,SV559: $i,SV114: $i] :
( ( ! [SY8899: $i,SY8900: $i] :
( ( c_Expr_Oexp_OCast @ SV114 @ SV559 @ SV998 )
!= ( c_Expr_Oexp_OFAss @ SV1413 @ SV1797 @ SY8899 @ SY8900 @ SV998 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3153]) ).
thf(3572,plain,
! [SV1798: $i,SV1414: $i,SV999: $i,SV560: $i,SV115: $i] :
( ( ! [SY8901: $i] :
( ( c_Expr_Oexp_OCond @ SV115 @ SV560 @ SV999 @ SV1414 )
!= ( c_Expr_Oexp_OCast @ SV1798 @ SY8901 @ SV1414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3154]) ).
thf(3573,plain,
! [SV1799: $i,SV1415: $i,SV1000: $i,SV561: $i,SV116: $i] :
( ( ( c_Expr_Oexp_OCast @ SV116 @ SV561 @ SV1000 )
!= ( c_Expr_Oexp_OWhile @ SV1415 @ SV1799 @ SV1000 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3155]) ).
thf(3574,plain,
! [SV1800: $i,SV1416: $i,SV1001: $i,SV562: $i,SV117: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV117 @ SV562 @ SV1001 )
!= ( c_Expr_Oexp_OCast @ SV1416 @ SV1800 @ SV1001 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3156]) ).
thf(3575,plain,
! [SV1801: $i,SV1417: $i,SV1002: $i,SV563: $i,SV118: $i] :
( ( ! [SY8902: $i] :
( ( c_Expr_Oexp_OBlock @ SV118 @ SV563 @ SV1002 @ SV1417 )
!= ( c_Expr_Oexp_OWhile @ SV1801 @ SY8902 @ SV1417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3157]) ).
thf(3576,plain,
! [SV1802: $i,SV1418: $i,SV1003: $i,SV564: $i,SV119: $i] :
( ( ! [SY8903: $i,SY8904: $i,SY8905: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV119 @ SV564 @ SV1003 @ SV1418 @ SV1802 )
!= ( c_Expr_Oexp_OCall @ SY8903 @ SY8904 @ SY8905 @ SV1802 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3158]) ).
thf(3577,plain,
! [SV1803: $i,SV1419: $i,SV1004: $i,SV565: $i,SV120: $i] :
( ( ! [SY8906: $i,SY8907: $i] :
( ( c_Expr_Oexp_OCond @ SV120 @ SV565 @ SV1004 @ SV1419 )
!= ( c_Expr_Oexp_OCall @ SV1803 @ SY8906 @ SY8907 @ SV1419 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3159]) ).
thf(3578,plain,
! [SV1420: $i,SV1005: $i,SV566: $i,SV121: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV121 @ SV566 )
= ( c_Expr_Oexp_OSeq @ SV1005 @ SV1420 @ SV566 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3160]) ).
thf(3579,plain,
! [SV1804: $i,SV1421: $i,SV1006: $i,SV567: $i,SV122: $i] :
( ( ! [SY8908: $i,SY8909: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV122 @ SV567 @ SV1006 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SY8908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8909 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY8910: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1006 @ SY8910 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SY8908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8909 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV122 @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8910 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8909 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3161]) ).
thf(3580,plain,
! [SV1805: $i,SV1422: $i,SV1007: $i,SV568: $i,SV123: $i] :
( ( ! [SY8911: $i,SY8912: $i] :
( ( c_Expr_Oexp_OFAss @ SV123 @ SV568 @ SV1007 @ SV1422 @ SV1805 )
!= ( c_Expr_Oexp_OLAss @ SY8911 @ SY8912 @ SV1805 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3162]) ).
thf(3581,plain,
! [SV1806: $i,SV1423: $i,SV1008: $i,SV569: $i,SV124: $i] :
( ( ! [SY8913: $i] :
( ( c_Expr_Oexp_OLAss @ SV124 @ SV569 @ SV1008 )
!= ( c_Expr_Oexp_OCall @ SV1423 @ SV1806 @ SY8913 @ SV1008 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3163]) ).
thf(3582,plain,
! [SV1807: $i,SV1424: $i,SV1009: $i,SV570: $i,SV125: $i] :
( ( ! [SY8914: $i] :
( ( c_Expr_Oexp_OLAss @ SV125 @ SV570 @ SV1009 )
!= ( c_Expr_Oexp_OFAcc @ SV1424 @ SV1807 @ SY8914 @ SV1009 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3164]) ).
thf(3583,plain,
! [SV1808: $i,SV1425: $i,SV1010: $i,SV571: $i,SV126: $i] :
( ( ! [SY8915: $i,SY8916: $i] :
( ( c_Expr_Oexp_OCall @ SV126 @ SV571 @ SV1010 @ SV1425 )
!= ( c_Expr_Oexp_OBinOp @ SV1808 @ SY8915 @ SY8916 @ SV1425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3165]) ).
thf(3584,plain,
! [SV1809: $i,SV1426: $i,SV1011: $i,SV572: $i,SV127: $i] :
( ( ! [SY8917: $i,SY8918: $i] :
( ( c_BigStep_Oeval @ SV127 @ ( c_Expr_Oexp_OCond @ SV572 @ SV1011 @ SV1426 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1809 @ ( c_Expr_Oexp_Othrow @ SY8917 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8918 )
| ~ ( c_BigStep_Oeval @ SV127 @ SV572 @ SV1809 @ ( c_Expr_Oexp_Othrow @ SY8917 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8918 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3166]) ).
thf(3585,plain,
! [SV1810: $i,SV1428: $i,SV1013: $i,SV574: $i,SV129: $i] :
( ( ! [SY8919: $i] :
( ( c_Expr_Oexp_OCast @ SV129 @ SV574 @ SV1013 )
!= ( c_Expr_Oexp_OCall @ SV1428 @ SV1810 @ SY8919 @ SV1013 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3168]) ).
thf(3586,plain,
! [SV1811: $i,SV1429: $i,SV1014: $i,SV575: $i,SV130: $i] :
( ( ! [SY8920: $i] :
( ( c_Expr_Oexp_OCast @ SV130 @ SV575 @ SV1014 )
!= ( c_Expr_Oexp_OFAcc @ SV1429 @ SV1811 @ SY8920 @ SV1014 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3169]) ).
thf(3587,plain,
! [SV1812: $i,SV1430: $i,SV1015: $i,SV576: $i,SV131: $i] :
( ( ! [SY8921: $i] :
( ( c_BigStep_Oeval @ SV131 @ ( c_Expr_Oexp_OWhile @ SV576 @ SV1015 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1430 @ ( c_Expr_Oexp_Othrow @ SV1812 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8921 )
| ~ ( c_BigStep_Oeval @ SV131 @ SV576 @ SV1430 @ ( c_Expr_Oexp_Othrow @ SV1812 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8921 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3170]) ).
thf(3588,plain,
! [SV1813: $i,SV1431: $i,SV1016: $i,SV577: $i,SV132: $i] :
( ( ! [SY8922: $i,SY8923: $i,SY8924: $i] :
( ( c_Expr_Oexp_OBlock @ SV132 @ SV577 @ SV1016 @ SV1431 )
!= ( c_Expr_Oexp_OFAss @ SV1813 @ SY8922 @ SY8923 @ SY8924 @ SV1431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3171]) ).
thf(3589,plain,
! [SV1814: $i,SV1432: $i,SV1017: $i,SV578: $i,SV133: $i] :
( ( ! [SY8925: $i] :
( ( c_Expr_Oexp_Othrow @ SV133 @ SV578 )
!= ( c_Expr_Oexp_OTryCatch @ SV1017 @ SV1432 @ SV1814 @ SY8925 @ SV578 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3172]) ).
thf(3590,plain,
! [SV1815: $i,SV1433: $i,SV1018: $i,SV579: $i,SV134: $i] :
( ( ! [SY8926: $i] :
( ( c_BigStep_Oeval @ SV134 @ ( c_Expr_Oexp_OCast @ SV579 @ SV1018 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1433 @ ( c_Expr_Oexp_Othrow @ SV1815 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8926 )
| ~ ( c_BigStep_Oeval @ SV134 @ SV1018 @ SV1433 @ ( c_Expr_Oexp_Othrow @ SV1815 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8926 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3173]) ).
thf(3591,plain,
! [SV1816: $i,SV1434: $i,SV1019: $i,SV580: $i,SV135: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV135 @ SV580 @ SV1019 @ SV1434 )
!= ( c_Expr_Oexp_OVal @ SV1816 @ SV1434 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3174]) ).
thf(3592,plain,
! [SV1817: $i,SV1435: $i,SV1020: $i,SV581: $i,SV136: $i] :
( ( c_SmallStep_Oredp @ SV136 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1020 @ SV1435 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1817 @ ( c_Expr_Oexp_Othrow @ SV581 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1817 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3175]) ).
thf(3593,plain,
! [SV1818: $i,SV1436: $i,SV1021: $i,SV582: $i,SV137: $i] :
( ( ! [SY8927: $i,SY8928: $i] :
( ( c_Expr_Oexp_OCall @ SV137 @ SV582 @ SV1021 @ SV1436 )
!= ( c_Expr_Oexp_OCall @ SV1818 @ SY8927 @ SY8928 @ SV1436 ) )
| ( SV137 = SV1818 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3176]) ).
thf(3594,plain,
! [SV1819: $i,SV1437: $i,SV1022: $i,SV583: $i,SV138: $i] :
( ( ! [SY8929: $i] :
( ! [SY8930: $i] :
( ( c_Expr_Oexp_OCall @ SV138 @ SV583 @ SV1022 @ SV1437 )
!= ( c_Expr_Oexp_OCall @ SV1819 @ SY8929 @ SY8930 @ SV1437 ) )
| ( SV583 = SY8929 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3177]) ).
thf(3595,plain,
! [SV1820: $i,SV1438: $i,SV1023: $i,SV584: $i,SV139: $i] :
( ( ! [SY8931: $i,SY8932: $i] :
( ( ( c_Expr_Oexp_OCall @ SV139 @ SV584 @ SV1023 @ SV1438 )
!= ( c_Expr_Oexp_OCall @ SV1820 @ SY8931 @ SY8932 @ SV1438 ) )
| ( SV1023 = SY8932 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3178]) ).
thf(3596,plain,
! [SV1821: $i,SV1439: $i,SV1024: $i,SV585: $i,SV140: $i] :
( ( ! [SY8933: $i] :
( ( c_Expr_Oexp_OBlock @ SV140 @ SV585 @ SV1024 @ SV1439 )
!= ( c_Expr_Oexp_OCast @ SV1821 @ SY8933 @ SV1439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3179]) ).
thf(3597,plain,
! [SV1822: $i,SV1441: $i,SV1026: $i,SV587: $i,SV142: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV142 @ SV587 @ SV1026 )
!= ( c_Expr_Oexp_OWhile @ SV1441 @ SV1822 @ SV1026 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3181]) ).
thf(3598,plain,
! [SV1823: $i,SV1442: $i,SV1027: $i,SV588: $i,SV143: $i] :
( ( ! [SY8934: $i] :
( ( c_Expr_Oexp_Othrow @ SV143 @ SV588 )
!= ( c_Expr_Oexp_OFAss @ SV1027 @ SV1442 @ SV1823 @ SY8934 @ SV588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3182]) ).
thf(3599,plain,
! [SV1824: $i,SV1443: $i,SV1028: $i,SV589: $i,SV144: $i] :
( ( ! [SY8935: $i,SY8936: $i] :
( ( c_Expr_Oexp_OBlock @ SV144 @ SV589 @ SV1028 @ SV1443 )
!= ( c_Expr_Oexp_OCall @ SV1824 @ SY8935 @ SY8936 @ SV1443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3183]) ).
thf(3600,plain,
! [SV1825: $i,SV1444: $i,SV1029: $i,SV590: $i,SV145: $i] :
( ( ! [SY8937: $i,SY8938: $i] :
( ( c_Expr_Oexp_OBlock @ SV145 @ SV590 @ SV1029 @ SV1444 )
!= ( c_Expr_Oexp_OFAcc @ SV1825 @ SY8937 @ SY8938 @ SV1444 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3184]) ).
thf(3601,plain,
! [SV1826: $i,SV1445: $i,SV1030: $i,SV591: $i,SV146: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV146 @ SV591 )
!= ( c_Expr_Oexp_OBlock @ SV1030 @ SV1445 @ SV1826 @ SV591 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3185]) ).
thf(3602,plain,
! [SV1827: $i,SV1446: $i,SV1031: $i,SV592: $i,SV147: $i] :
( ( c_SmallStep_Oredp @ SV147 @ ( c_Expr_Oexp_OBlock @ SV592 @ SV1031 @ ( c_Expr_Oexp_OVal @ SV1446 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1827 @ ( c_Expr_Oexp_OVal @ SV1446 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1827 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3186]) ).
thf(3603,plain,
! [SV1447: $i,SV1032: $i,SV593: $i,SV148: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV148 @ SV593 )
= ( c_Expr_Oexp_OCast @ SV1032 @ SV1447 @ SV593 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3187]) ).
thf(3604,plain,
! [SV1828: $i,SV1448: $i,SV1033: $i,SV594: $i,SV149: $i] :
( ( ( c_Conform_Olconf @ SV149 @ SV594 @ SV1033 @ SV1448 @ SV1828 )
| ! [SY8939: $i] :
( ~ ( c_Objects_Ohext @ SY8939 @ SV594 )
| ~ ( c_Conform_Olconf @ SV149 @ SY8939 @ SV1033 @ SV1448 @ SV1828 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3188]) ).
thf(3605,plain,
! [SV1829: $i,SV1449: $i,SV1034: $i,SV595: $i,SV150: $i] :
( ( ( c_SmallStep_Oredp @ SV150 @ ( c_Expr_Oexp_Othrow @ SV595 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1034 @ ( c_Expr_Oexp_Othrow @ SV1449 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1829 )
| ~ ( c_SmallStep_Oredp @ SV150 @ SV595 @ SV1034 @ SV1449 @ SV1829 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3189]) ).
thf(3606,plain,
! [SV1450: $i,SV1035: $i,SV596: $i,SV151: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV151 @ SV596 @ SV1035 )
= ( c_Expr_Oexp_OVal @ SV1450 @ SV1035 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3190]) ).
thf(3607,plain,
! [SV1830: $i,SV1451: $i,SV1036: $i,SV597: $i,SV152: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV152 @ SV597 )
!= ( c_Expr_Oexp_OCall @ SV1036 @ SV1451 @ SV1830 @ SV597 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3191]) ).
thf(3608,plain,
! [SV1831: $i,SV1452: $i,SV1037: $i,SV598: $i,SV153: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV153 @ SV598 )
!= ( c_Expr_Oexp_OFAcc @ SV1037 @ SV1452 @ SV1831 @ SV598 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3192]) ).
thf(3609,plain,
! [SV1832: $i,SV1453: $i,SV1038: $i,SV599: $i,SV154: $i] :
( ( ! [SY8940: $i,SY8941: $i,SY8942: $i] :
( ( c_Expr_Oexp_OFAss @ SV154 @ SV599 @ SV1038 @ SV1453 @ SV1832 )
!= ( c_Expr_Oexp_OBlock @ SY8940 @ SY8941 @ SY8942 @ SV1832 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3193]) ).
thf(3610,plain,
! [SV1833: $i,SV1454: $i,SV1039: $i,SV600: $i,SV155: $i] :
( ( ! [SY8943: $i] :
( ( c_Expr_Oexp_OCall @ SV155 @ SV600 @ SV1039 @ SV1454 )
!= ( c_Expr_Oexp_OWhile @ SV1833 @ SY8943 @ SV1454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3194]) ).
thf(3611,plain,
! [SV1834: $i,SV1455: $i,SV1040: $i,SV601: $i,SV156: $i] :
( ( ( c_Expr_Oexp_OCall @ SV156 @ SV601 @ SV1040 @ SV1455 )
!= ( c_Expr_Oexp_OVal @ SV1834 @ SV1455 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3195]) ).
thf(3612,plain,
! [SV1835: $i,SV1456: $i,SV1041: $i,SV602: $i,SV157: $i] :
( ( ! [SY8944: $i,SY8945: $i] :
( ( c_BigStep_Oeval @ SV157 @ ( c_Expr_Oexp_OBinOp @ SV602 @ SV1041 @ SV1456 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1835 @ ( c_Expr_Oexp_Othrow @ SY8944 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8945 )
| ~ ( c_BigStep_Oeval @ SV157 @ SV602 @ SV1835 @ ( c_Expr_Oexp_Othrow @ SY8944 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8945 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3196]) ).
thf(3613,plain,
! [SV1836: $i,SV1457: $i,SV1042: $i,SV603: $i,SV158: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV158 @ SV603 )
!= ( c_Expr_Oexp_OBinOp @ SV1042 @ SV1457 @ SV1836 @ SV603 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3197]) ).
thf(3614,plain,
! [SV1458: $i,SV1043: $i,SV604: $i,SV159: $i] :
( ( ( ! [SY8161: $i] :
( ( c_Expr_Oexp_OCast @ SV159 @ SV604 @ SV1043 )
!= ( c_Expr_Oexp_OCast @ SV1458 @ SY8161 @ SV1043 ) ) )
= $true )
| ( ( SV159 = SV1458 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3198]) ).
thf(3615,plain,
! [SV1837: $i,SV1459: $i,SV1044: $i,SV605: $i,SV160: $i] :
( ( ( ( c_Expr_Oexp_OCast @ SV160 @ SV605 @ SV1044 )
!= ( c_Expr_Oexp_OCast @ SV1459 @ SV1837 @ SV1044 ) )
| ( SV605 = SV1837 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3199]) ).
thf(3616,plain,
! [SV1838: $i,SV1460: $i,SV1045: $i,SV606: $i,SV161: $i] :
( ( ! [SY8946: $i,SY8947: $i,SY8948: $i] :
( ( c_Expr_Oexp_OCall @ SV161 @ SV606 @ SV1045 @ SV1460 )
!= ( c_Expr_Oexp_OFAss @ SV1838 @ SY8946 @ SY8947 @ SY8948 @ SV1460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3200]) ).
thf(3617,plain,
! [SV1839: $i,SV1461: $i,SV1046: $i,SV607: $i,SV162: $i] :
( ( ! [SY8949: $i] :
( ( c_Expr_Oexp_OFAss @ SV162 @ SV607 @ SV1046 @ SV1461 @ SV1839 )
!= ( c_Expr_Oexp_Othrow @ SY8949 @ SV1839 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3201]) ).
thf(3618,plain,
! [SV1840: $i,SV1462: $i,SV1047: $i,SV608: $i,SV163: $i] :
( ( c_SmallStep_Oredp @ SV163 @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ SV608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1047 @ SV1462 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1840 @ ( c_Expr_Oexp_Othrow @ SV608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1840 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3202]) ).
thf(3619,plain,
! [SV1841: $i,SV1463: $i,SV1048: $i,SV609: $i,SV164: $i] :
( ( ! [SY8950: $i] :
( ( c_Expr_Oexp_OBinOp @ SV164 @ SV609 @ SV1048 @ SV1463 )
!= ( c_Expr_Oexp_OLAss @ SV1841 @ SY8950 @ SV1463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3203]) ).
thf(3620,plain,
! [SV1842: $i,SV1464: $i,SV1049: $i,SV610: $i,SV165: $i] :
( ( ! [SY8951: $i,SY8952: $i] :
( ( c_Expr_Oexp_OFAcc @ SV165 @ SV610 @ SV1049 @ SV1464 )
!= ( c_Expr_Oexp_OBlock @ SV1842 @ SY8951 @ SY8952 @ SV1464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3204]) ).
thf(3621,plain,
! [SV1843: $i,SV1465: $i,SV1050: $i,SV611: $i,SV166: $i] :
( ( ! [SY8953: $i] :
( ( c_Expr_Oexp_OCall @ SV166 @ SV611 @ SV1050 @ SV1465 )
!= ( c_Expr_Oexp_OCast @ SV1843 @ SY8953 @ SV1465 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3205]) ).
thf(3622,plain,
! [SV1844: $i,SV1466: $i,SV1052: $i,SV613: $i,SV168: $i] :
( ( ! [SY8954: $i,SY8955: $i] :
( ( c_Expr_Oexp_OLAss @ SV168 @ SV613 @ SV1052 )
!= ( c_Expr_Oexp_OTryCatch @ SV1466 @ SV1844 @ SY8954 @ SY8955 @ SV1052 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3207]) ).
thf(3623,plain,
! [SV1845: $i,SV1467: $i,SV1053: $i,SV614: $i,SV169: $i] :
( ( ! [SY8956: $i,SY8957: $i] :
( ( c_Expr_Oexp_OCall @ SV169 @ SV614 @ SV1053 @ SV1467 )
!= ( c_Expr_Oexp_OFAcc @ SV1845 @ SY8956 @ SY8957 @ SV1467 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3208]) ).
thf(3624,plain,
! [SV1846: $i,SV1468: $i,SV1054: $i,SV615: $i,SV170: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV170 @ SV615 @ SV1054 @ SV1468 )
!= ( c_Expr_Oexp_Othrow @ SV1846 @ SV1468 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3209]) ).
thf(3625,plain,
! [SV1847: $i,SV1469: $i,SV1055: $i,SV616: $i,SV171: $i] :
( ( ! [SY8958: $i] : ( c_SmallStep_Oredp @ SV171 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ SV616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1055 @ SV1469 @ SV1847 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8958 @ ( c_Expr_Oexp_Othrow @ SV616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8958 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3210]) ).
thf(3626,plain,
! [SV1848: $i,SV1471: $i,SV1057: $i,SV618: $i,SV173: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV173 @ SV618 @ SV1057 )
!= ( c_Expr_Oexp_OCast @ SV1471 @ SV1848 @ SV1057 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3212]) ).
thf(3627,plain,
! [SV1849: $i,SV1472: $i,SV1058: $i,SV619: $i,SV174: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV174 @ SV619 @ SV1058 )
!= ( c_Expr_Oexp_OCast @ SV1472 @ SV1849 @ SV1058 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3213]) ).
thf(3628,plain,
! [SV1850: $i,SV1474: $i,SV1060: $i,SV621: $i,SV176: $i] :
( ( ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1850 @ SV1060 @ SV1474 )
| ~ ( c_Map_Omap__le @ SV176 @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1060 @ SV1474 )
| ~ ( c_Map_Omap__le @ SV621 @ SV1850 @ SV1060 @ SV1474 )
| ~ ( c_Map_Omap__le @ SV176 @ SV1850 @ SV1060 @ SV1474 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3215]) ).
thf(3629,plain,
! [SV1851: $i,SV1475: $i,SV1061: $i,SV622: $i,SV177: $i] :
( ( ( c_BigStep_Oeval @ SV177 @ ( c_Expr_Oexp_OCast @ SV622 @ SV1061 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1475 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1851 )
| ~ ( c_BigStep_Oeval @ SV177 @ SV1061 @ SV1475 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1851 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3216]) ).
thf(3630,plain,
! [SV1852: $i,SV1476: $i,SV1062: $i,SV623: $i,SV178: $i] :
( ( ! [SY8959: $i,SY8960: $i] :
( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SV623 @ SV1062 @ SV1476 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1852 @ ( c_Expr_Oexp_Othrow @ SY8959 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8960 )
| ! [SY8961: $i] :
( ~ ( c_BigStep_Oeval @ SV178 @ SV1476 @ SY8961 @ ( c_Expr_Oexp_Othrow @ SY8959 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8960 )
| ! [SY8962: $i] :
~ ( c_BigStep_Oeval @ SV178 @ SV623 @ SV1852 @ ( c_Expr_Oexp_OVal @ SY8962 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8961 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3217]) ).
thf(3631,plain,
! [SV1853: $i,SV1478: $i,SV1064: $i,SV625: $i,SV180: $i] :
( ( ! [SY8963: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV180 @ SV625 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV180 @ ( c_Expr_Oexp_OVal @ SV1064 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ SV1478 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1853 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV1478 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1853 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8963 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3219]) ).
thf(3632,plain,
! [SV1854: $i,SV1479: $i,SV1065: $i,SV626: $i,SV181: $i] :
( ( ! [SY8964: $i,SY8965: $i,SY8966: $i] :
( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SV1065 @ SV1479 @ SV1854 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8964 @ ( c_Expr_Oexp_Othrow @ SY8965 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8966 )
| ! [SY8967: $i] :
( ~ ( c_BigStep_Oeval @ SV181 @ SV1854 @ SY8967 @ ( c_Expr_Oexp_Othrow @ SY8965 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8966 )
| ! [SY5491: $i] :
~ ( c_BigStep_Oeval @ SV181 @ SV626 @ SY8964 @ ( c_Expr_Oexp_OVal @ SY5491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8967 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3220]) ).
thf(3633,plain,
! [SV1855: $i,SV1480: $i,SV1067: $i,SV628: $i,SV183: $i] :
( ( c_SmallStep_Oredp @ SV183 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV628 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1067 @ ( c_Expr_Oexp_Othrow @ SV1480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1855 @ ( c_Expr_Oexp_Othrow @ SV1480 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1855 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3221]) ).
thf(3634,plain,
! [SV1856: $i,SV1481: $i,SV1068: $i,SV629: $i,SV184: $i] :
( ( ! [SY8969: $i] : ( c_SmallStep_Oredp @ SV184 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV629 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1068 @ SV1481 @ ( c_Expr_Oexp_Othrow @ SV1856 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8969 @ ( c_Expr_Oexp_Othrow @ SV1856 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8969 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3222]) ).
thf(3635,plain,
! [SV1857: $i,SV1482: $i,SV1069: $i,SV630: $i,SV185: $i] :
( ( ! [SY8970: $i,SY8971: $i,SY8972: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SV1482 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SY8970 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8971 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8972 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1482 @ SV1857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8970 @ SY8971 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8972 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3223]) ).
thf(3636,plain,
! [SV1858: $i,SV1483: $i,SV1070: $i,SV631: $i,SV186: $i] :
( ( ! [SY8973: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV186 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV631 @ SV1070 @ ( c_Expr_Oexp_Othrow @ SV1483 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1858 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1483 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1858 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8973 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3224]) ).
thf(3637,plain,
! [SV1859: $i,SV1484: $i,SV1071: $i,SV632: $i,SV187: $i] :
( ( ! [SY8974: $i,SY8975: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SV1071 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SV1859 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8974 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8975 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1071 @ SV1484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1859 @ SY8974 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8975 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3225]) ).
thf(3638,plain,
! [SV1860: $i,SV1485: $i,SV1072: $i,SV633: $i,SV188: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV188 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV633 @ ( c_Expr_Oexp_Othrow @ SV1072 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1485 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1072 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1485 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1860 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3226]) ).
thf(3639,plain,
! [SV1861: $i,SV1486: $i,SV1073: $i,SV634: $i,SV189: $i] :
( ( ! [SY8976: $i,SY8977: $i] :
( ( c_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Olconf @ SV189 @ SV1861 @ SY8976 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY8978: $i] :
~ ( c_WellTypeRT_OWTrt @ SV189 @ SV1861 @ SV1486 @ SY8977 @ SY8978 )
| ! [SY8979: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY8977 @ ( c_Pair @ SV1861 @ SY8976 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8979 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3227]) ).
thf(3640,plain,
! [SV1862: $i,SV1487: $i,SV1074: $i,SV635: $i,SV190: $i] :
( ( ! [SY8980: $i,SY8981: $i] :
( ( c_Conform_Ohconf @ SV190 @ SV635 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV190 @ SV1074 @ SV1487 @ SV1862 @ SY8980 )
| ! [SY8982: $i,SY8983: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1862 @ ( c_Pair @ SV1074 @ SY8981 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8982 @ ( c_Pair @ SV635 @ SY8983 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3228]) ).
thf(3641,plain,
! [SV1863: $i,SV1489: $i,SV1077: $i,SV638: $i,SV193: $i] :
( ( ! [SY8984: $i] :
( ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OCond @ SV638 @ ( c_Expr_Oexp_OSeq @ SV1077 @ ( c_Expr_Oexp_OWhile @ SV638 @ SV1077 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1489 @ SV1863 @ SY8984 )
| ~ ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OWhile @ SV638 @ SV1077 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1489 @ SV1863 @ SY8984 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3230]) ).
thf(3642,plain,
! [SV1864: $i,SV1490: $i,SV1078: $i,SV639: $i,SV194: $i] :
( ( ! [SY8985: $i] :
( ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OWhile @ SV639 @ SV1078 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1490 @ SV1864 @ SY8985 )
| ~ ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OCond @ SV639 @ ( c_Expr_Oexp_OSeq @ SV1078 @ ( c_Expr_Oexp_OWhile @ SV639 @ SV1078 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1490 @ SV1864 @ SY8985 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3231]) ).
thf(3643,plain,
! [SV1865: $i,SV1491: $i,SV1079: $i,SV640: $i,SV195: $i] :
( ( ! [SY8986: $i,SY8987: $i,SY8988: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV195 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SY8986 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8987 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8988 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV195 @ SV1865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8986 @ SY8987 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8988 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3232]) ).
thf(3644,plain,
! [SV1866: $i,SV1492: $i,SV1080: $i,SV641: $i,SV196: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ ( c_Expr_Oexp_Othrow @ SV196 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV641 @ SV1080 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1492 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV196 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1492 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1866 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3233]) ).
thf(3645,plain,
! [SV1867: $i,SV1493: $i,SV1081: $i,SV642: $i,SV197: $i] :
( ( ! [SY8989: $i,SY8990: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV197 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1493 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV1867 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8989 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8990 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV197 @ SV1493 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1867 @ SY8989 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8990 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3234]) ).
thf(3646,plain,
! [SV1868: $i,SV1495: $i,SV1083: $i,SV644: $i,SV199: $i] :
( ( ! [SY8991: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV199 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1083 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV1495 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1868 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8991 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV199 @ SV1083 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1495 @ SV1868 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8991 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3236]) ).
thf(3647,plain,
! [SV1869: $i,SV1496: $i,SV1084: $i,SV645: $i,SV200: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ ( c_Expr_Oexp_Othrow @ SV200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV645 @ SV1084 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1496 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV200 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1496 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1869 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3237]) ).
thf(3648,plain,
! [SV1870: $i,SV1497: $i,SV1085: $i,SV646: $i,SV201: $i] :
( ( ! [SY8992: $i,SY8993: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV201 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1497 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV1870 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8992 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8993 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV201 @ SV1497 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1870 @ SY8992 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8993 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3238]) ).
thf(3649,plain,
! [SV1871: $i,SV1498: $i,SV1086: $i,SV647: $i,SV202: $i] :
( ( ! [SY8994: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ SV202 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV647 @ SV1086 @ SV1498 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1871 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV202 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1871 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY8994 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3239]) ).
thf(3650,plain,
! [SV1872: $i,SV1499: $i,SV1087: $i,SV648: $i,SV203: $i] :
( ( ! [SY8995: $i,SY8996: $i,SY8997: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV203 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SY8995 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8996 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8997 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV203 @ SV1872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8995 @ SY8996 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8997 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3240]) ).
thf(3651,plain,
! [SV1873: $i,SV1500: $i,SV1088: $i,SV649: $i,SV204: $i] :
( ( ! [SY8998: $i,SY8999: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV204 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1500 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV1873 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8998 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8999 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV204 @ SV1500 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1873 @ SY8998 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY8999 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3241]) ).
thf(3652,plain,
! [SV1874: $i,SV1501: $i,SV1089: $i,SV650: $i,SV205: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_Othrow @ SV205 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV650 @ SV1089 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1501 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV205 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1501 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1874 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3242]) ).
thf(3653,plain,
! [SV1875: $i,SV1502: $i,SV1090: $i,SV651: $i,SV206: $i] :
( ( ! [SY9000: $i,SY9001: $i,SY9002: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ ( c_Map_Omap__add @ SV1090 @ SV1502 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1875 @ ( c_Pair @ SY9000 @ ( c_Map_Omap__add @ SV1090 @ SY9001 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9002 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ SV1502 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1875 @ ( c_Pair @ SY9000 @ SY9001 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9002 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3243]) ).
thf(3654,plain,
! [SV1876: $i,SV1503: $i,SV1091: $i,SV652: $i,SV207: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV207 @ SV652 @ ( c_Expr_Oexp_OVal @ SV1091 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1503 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV1091 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1503 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1876 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3244]) ).
thf(3655,plain,
! [SV1877: $i,SV1504: $i,SV1092: $i,SV653: $i,SV208: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ c_Type_Oty_ONT )
| ! [SY9003: $i,SY9004: $i] :
( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV1877 @ SV1092 @ SY9003 @ SV208 @ SY9004 @ SV1504 @ SV653 ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ ( c_Expr_Oexp_OFAcc @ SV1504 @ SY9003 @ SV1877 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9004 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3245]) ).
thf(3656,plain,
! [SV1878: $i,SV1505: $i,SV1093: $i,SV654: $i,SV209: $i] :
( ( ! [SY9005: $i] :
( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ c_Type_Oty_ONT )
| ! [SY9006: $i] :
( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1878 @ SV1093 @ SY9005 @ SV209 @ SV1505 @ SV654 @ SY9006 ) ) )
| ! [SY9007: $i] :
~ ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ ( c_Expr_Oexp_OFAss @ SV1505 @ SY9005 @ SV1878 @ SY9006 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9007 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3246]) ).
thf(3657,plain,
! [SV1879: $i,SV1506: $i,SV1094: $i,SV655: $i,SV210: $i] :
( ( ! [SY9008: $i,SY9009: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV210 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV1879 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9008 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9009 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV210 @ SV1506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1879 @ SY9008 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9009 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3247]) ).
thf(3658,plain,
! [SV1880: $i,SV1507: $i,SV1095: $i,SV656: $i,SV211: $i] :
( ( ! [SY9010: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SV656 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SV1507 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1880 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9010 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV656 @ SV1095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1507 @ SV1880 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9010 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3248]) ).
thf(3659,plain,
! [SV1881: $i,SV1508: $i,SV1096: $i,SV657: $i,SV212: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV212 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV657 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1096 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1508 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1881 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV212 @ SV657 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1096 @ SV1508 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1881 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3249]) ).
thf(3660,plain,
! [SV1882: $i,SV1509: $i,SV1098: $i,SV659: $i,SV214: $i] :
( ( ! [SY9011: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SV659 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1098 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SV1509 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1882 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9011 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV659 @ SV1098 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1509 @ SV1882 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9011 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3250]) ).
thf(3661,plain,
! [SV1883: $i,SV1510: $i,SV1099: $i,SV660: $i,SV215: $i] :
( ( ! [SY9012: $i,SY9013: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV215 @ SV660 @ SV1099 @ SV1510 ) @ ( c_Pair @ SV215 @ SV1883 @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) @ ( c_Recdef_Osame__fst @ SY9012 @ SY9013 @ SV1099 @ SV1510 ) @ ( tc_prod @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) )
| ~ ( c_in @ ( c_Pair @ SV660 @ SV1883 @ SV1510 @ SV1510 ) @ ( hAPP @ SY9013 @ SV215 ) @ ( tc_prod @ SV1510 @ SV1510 ) )
| ~ ( hBOOL @ ( hAPP @ SY9012 @ SV215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3251]) ).
thf(3662,plain,
! [SV1884: $i,SV1511: $i,SV1100: $i,SV661: $i,SV216: $i] :
( ( ! [SY9014: $i] :
( ( c_in @ ( c_Pair @ SV216 @ SV661 @ SV1100 @ SV1100 ) @ SV1511 @ ( tc_prod @ SV1100 @ SV1100 ) )
| ! [SY9015: $i,SY9016: $i] :
( ( c_in @ ( c_Pair @ SV1884 @ SY9014 @ SY9015 @ SY9015 ) @ SY9016 @ ( tc_prod @ SY9015 @ SY9015 ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1884 @ SV216 @ SY9015 @ SV1100 ) @ ( c_Pair @ SY9014 @ SV661 @ SY9015 @ SV1100 ) @ ( tc_prod @ SY9015 @ SV1100 ) @ ( tc_prod @ SY9015 @ SV1100 ) ) @ ( c_Wellfounded_Olex__prod @ SY9016 @ SV1511 @ SY9015 @ SV1100 ) @ ( tc_prod @ ( tc_prod @ SY9015 @ SV1100 ) @ ( tc_prod @ SY9015 @ SV1100 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3252]) ).
thf(3663,plain,
! [SV1885: $i,SV1512: $i,SV1101: $i,SV662: $i,SV217: $i] :
( ( ! [SY9017: $i,SY9018: $i] :
( ! [SY9019: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ SV217 @ SV662 @ SV1101 @ SV1512 ) @ ( c_Pair @ SV1885 @ SY9017 @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) @ ( c_Wellfounded_Olex__prod @ SY9018 @ SY9019 @ SV1101 @ SV1512 ) @ ( tc_prod @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) )
| ~ ( c_in @ ( c_Pair @ SV217 @ SV1885 @ SV1101 @ SV1101 ) @ SY9018 @ ( tc_prod @ SV1101 @ SV1101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3253]) ).
thf(3664,plain,
! [SV1886: $i,SV1513: $i,SV1102: $i,SV663: $i,SV218: $i] :
( ( ! [SY9020: $i,SY9021: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV218 @ SV663 @ SV1102 @ SV1513 ) @ ( c_Pair @ SV218 @ SV1886 @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) ) @ ( c_Wellfounded_Olex__prod @ SY9020 @ SY9021 @ SV1102 @ SV1513 ) @ ( tc_prod @ ( tc_prod @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) ) )
| ~ ( c_in @ ( c_Pair @ SV663 @ SV1886 @ SV1513 @ SV1513 ) @ SY9021 @ ( tc_prod @ SV1513 @ SV1513 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3254]) ).
thf(3665,plain,
! [SV1887: $i,SV1514: $i,SV1103: $i,SV664: $i,SV219: $i] :
( ( ! [SY9022: $i] :
( ( SV219 = SV664 )
| ( c_in @ ( c_Pair @ SV219 @ SV664 @ SV1103 @ SV1103 ) @ SV1514 @ ( tc_prod @ SV1103 @ SV1103 ) )
| ! [SY9023: $i,SY9024: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV219 @ SV1887 @ SV1103 @ SY9022 ) @ ( c_Pair @ SV664 @ SY9023 @ SV1103 @ SY9022 ) @ ( tc_prod @ SV1103 @ SY9022 ) @ ( tc_prod @ SV1103 @ SY9022 ) ) @ ( c_Wellfounded_Olex__prod @ SV1514 @ SY9024 @ SV1103 @ SY9022 ) @ ( tc_prod @ ( tc_prod @ SV1103 @ SY9022 ) @ ( tc_prod @ SV1103 @ SY9022 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3255]) ).
thf(3666,plain,
! [SV1888: $i,SV1515: $i,SV1104: $i,SV665: $i,SV220: $i] :
( ( ! [SY9025: $i,SY9026: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ ( c_List_Olist_OCons @ SV1515 @ SV1888 @ SV665 ) @ ( c_List_Olist_OCons @ SY9025 @ SY9026 @ SV1104 ) @ SV665 @ SV1104 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ SV1888 @ SY9026 @ SV665 @ SV1104 )
| ~ ( c_in @ ( c_Pair @ SV1515 @ SY9025 @ SV665 @ SV1104 ) @ SV220 @ ( tc_prod @ SV665 @ SV1104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3256]) ).
thf(3667,plain,
! [SV1889: $i,SV1516: $i,SV1105: $i,SV666: $i,SV221: $i] :
( ( ! [SY9027: $i,SY9028: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ ( c_List_Olist_OCons @ SV1516 @ SV1889 @ SV666 ) @ ( c_List_Olist_OCons @ SY9027 @ SY9028 @ SV1105 ) @ SV666 @ SV1105 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ SV1889 @ SY9028 @ SV666 @ SV1105 )
| ~ ( c_in @ ( c_Pair @ SV1516 @ SY9027 @ SV666 @ SV1105 ) @ SV221 @ ( tc_prod @ SV666 @ SV1105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3257]) ).
thf(3668,plain,
! [SV1890: $i,SV1517: $i,SV1106: $i,SV667: $i,SV222: $i] :
( ( ! [SY9029: $i,SY9030: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ ( c_List_Olist_OCons @ SV1517 @ SV1890 @ SV667 ) @ ( c_List_Olist_OCons @ SY9029 @ SY9030 @ SV1106 ) @ SV667 @ SV1106 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ SV1890 @ SY9030 @ SV667 @ SV1106 )
| ~ ( c_in @ ( c_Pair @ SV1517 @ SY9029 @ SV667 @ SV1106 ) @ SV222 @ ( tc_prod @ SV667 @ SV1106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3258]) ).
thf(3669,plain,
! [SV1891: $i,SV1518: $i,SV1107: $i,SV668: $i,SV223: $i] :
( ( ( c_in @ ( c_Pair @ SV223 @ SV668 @ SV1107 @ SV1518 ) @ SV1891 @ ( tc_prod @ SV1107 @ SV1518 ) )
| ! [SY9031: $i,SY9032: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV1891 @ SV1107 @ SV1518 ) @ ( c_List_Olist_OCons @ SV223 @ SY9031 @ SV1107 ) @ ( c_List_Olist_OCons @ SV668 @ SY9032 @ SV1518 ) @ SV1107 @ SV1518 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3259]) ).
thf(3670,plain,
! [SV1892: $i,SV1519: $i,SV1108: $i,SV669: $i,SV224: $i] :
( ( ! [SY9033: $i,SY9034: $i,SY9035: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SV1108 @ SV1519 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY9033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9034 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9035 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9036: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1519 @ SY9036 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY9033 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9034 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9035 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9037: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9037 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9036 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9035 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3260]) ).
thf(3671,plain,
! [SV1893: $i,SV1520: $i,SV1109: $i,SV670: $i,SV225: $i] :
( ( ! [SY9038: $i,SY9039: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SV670 @ SV1109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9038 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9039 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9040: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1109 @ SY9040 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9038 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9039 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY8314: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY8314 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9040 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9039 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3261]) ).
thf(3672,plain,
! [SV1894: $i,SV1521: $i,SV1110: $i,SV671: $i,SV226: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV226 @ SV671 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1110 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1521 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1894 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV671 @ SV1110 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1521 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1894 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3262]) ).
thf(3673,plain,
! [SV1895: $i,SV1522: $i,SV1111: $i,SV672: $i,SV227: $i] :
( ( ! [SY9042: $i,SY9043: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV227 @ SV672 @ SV1111 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1522 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1895 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9042 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9043 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV227 @ SV1522 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1895 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9042 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9043 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3263]) ).
thf(3674,plain,
! [SV1896: $i,SV1523: $i,SV1112: $i,SV673: $i,SV228: $i] :
( ( ! [SY9044: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV228 @ SV673 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1523 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1896 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9044 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV228 @ SV1112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1523 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1896 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9044 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3264]) ).
thf(3675,plain,
! [SV1897: $i,SV1524: $i,SV1113: $i,SV674: $i,SV229: $i] :
( ( ! [SY9045: $i,SY9046: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV229 @ SV674 @ SV1113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1524 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1897 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9045 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9046 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV229 @ SV1524 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1897 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9045 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9046 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3265]) ).
thf(3676,plain,
! [SV1898: $i,SV1525: $i,SV1114: $i,SV675: $i,SV230: $i] :
( ( ! [SY9047: $i,SY9048: $i,SY9049: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV230 @ SV675 @ SV1114 @ SV1525 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY9047 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9048 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9049 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV230 @ SV1898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SY9047 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9048 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9049 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3266]) ).
thf(3677,plain,
! [SV1899: $i,SV1526: $i,SV1115: $i,SV676: $i,SV231: $i] :
( ( ! [SY9050: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV231 @ SV676 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1526 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9050 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV231 @ SV1115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1526 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9050 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3267]) ).
thf(3678,plain,
! [SV1900: $i,SV1527: $i,SV1116: $i,SV677: $i,SV232: $i] :
( ( ! [SY9051: $i,SY9052: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV232 @ SV677 @ SV1116 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1527 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9051 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9052 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV232 @ SV1527 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9051 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9052 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3268]) ).
thf(3679,plain,
! [SV1901: $i,SV1528: $i,SV1117: $i,SV678: $i,SV233: $i] :
( ( ! [SY9053: $i,SY9054: $i,SY9055: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ ( c_Map_Omap__add @ SV1117 @ SV1528 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1901 @ ( c_Pair @ SY9053 @ ( c_Map_Omap__add @ SV1117 @ SY9054 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9055 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ SV1528 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1901 @ ( c_Pair @ SY9053 @ SY9054 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9055 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3269]) ).
thf(3680,plain,
! [SV1902: $i,SV1529: $i,SV1118: $i,SV679: $i,SV234: $i] :
( ( ! [SY9056: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SV679 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SV1529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1902 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9056 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV679 @ SV1118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1529 @ SV1902 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9056 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3270]) ).
thf(3681,plain,
! [SV1903: $i,SV1530: $i,SV1119: $i,SV680: $i,SV235: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV235 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1119 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1530 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1903 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV235 @ SV680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1119 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1530 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1903 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3271]) ).
thf(3682,plain,
! [SV1904: $i,SV1531: $i,SV1120: $i,SV681: $i,SV236: $i] :
( ( ! [SY9057: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SV681 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SV1531 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1904 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9057 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV681 @ SV1120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1531 @ SV1904 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9057 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3272]) ).
thf(3683,plain,
! [SV1905: $i,SV1532: $i,SV1121: $i,SV682: $i,SV237: $i] :
( ( ! [SY9058: $i,SY9059: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV237 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1532 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV1905 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9058 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9059 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV237 @ SV1532 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1905 @ SY9058 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9059 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3273]) ).
thf(3684,plain,
! [SV1122: $i,SV683: $i,SV238: $i] :
( ( ( c_in @ SV238 @ SV683 @ ( tc_prod @ SV1122 @ SV1122 ) )
= $false )
| ( ( c_in @ SV238 @ ( c_Transitive__Closure_Ortrancl @ SV683 @ SV1122 ) @ ( tc_prod @ SV1122 @ SV1122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3274]) ).
thf(3685,plain,
! [SV1533: $i,SV1125: $i,SV686: $i,SV241: $i] :
( ( ( c_in @ ( c_Pair @ SV241 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
= $true )
| ( ( ! [SY8345: $i] :
( ~ ( c_in @ ( c_Pair @ SY8345 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
| ~ ( c_in @ ( c_Pair @ SV241 @ SY8345 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3275]) ).
thf(3686,plain,
! [SV1534: $i,SV1126: $i,SV687: $i,SV242: $i] :
( ( ( c_in @ ( c_Pair @ SV242 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SV1534 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
= $true )
| ( ( ! [SY8346: $i] :
( ~ ( c_in @ ( c_Pair @ SY8346 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SV1534 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
| ~ ( c_in @ ( c_Pair @ SV242 @ SY8346 @ SV1126 @ SV1126 ) @ SV1534 @ ( tc_prod @ SV1126 @ SV1126 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3276]) ).
thf(3687,plain,
! [SV1535: $i,SV1127: $i,SV688: $i,SV243: $i] :
( ( ( c_in @ ( c_Pair @ SV243 @ SV688 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SV1535 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) )
= $true )
| ( ( ! [SY8347: $i] :
( ~ ( c_in @ ( c_Pair @ SY8347 @ SV688 @ SV1127 @ SV1127 ) @ SV1535 @ ( tc_prod @ SV1127 @ SV1127 ) )
| ~ ( c_in @ ( c_Pair @ SV243 @ SY8347 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SV1535 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3277]) ).
thf(3688,plain,
! [SV1906: $i,SV1536: $i,SV1128: $i,SV689: $i,SV244: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV244 @ SV689 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1128 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1536 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1906 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV244 @ SV1128 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1536 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1906 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3278]) ).
thf(3689,plain,
! [SV1907: $i,SV1537: $i,SV1129: $i,SV690: $i,SV245: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV245 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1129 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1537 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1907 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV245 @ SV690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1129 @ SV1537 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1907 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3279]) ).
thf(3690,plain,
! [SV1908: $i,SV1538: $i,SV1130: $i,SV692: $i,SV247: $i] :
( ( ! [SY9060: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV247 @ SV692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9060 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9061: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV692 @ SY9061 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9060 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY7270: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV247 @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY7270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9061 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9060 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3280]) ).
thf(3691,plain,
! [SV1909: $i,SV1539: $i,SV1131: $i,SV693: $i,SV248: $i] :
( ( ! [SY9063: $i,SY9064: $i,SY9065: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV248 @ SV693 @ SV1131 @ SV1539 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9063 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9064 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV248 @ SV1909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9063 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9064 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3281]) ).
thf(3692,plain,
! [SV1910: $i,SV1540: $i,SV1132: $i,SV694: $i,SV249: $i] :
( ( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1132 )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1540 )
| ! [SY9066: $i] :
~ ( c_WellTypeRT_OWTrt @ SV249 @ ( c_State_Ohp @ SV1540 ) @ SV694 @ SV1910 @ SY9066 )
| ! [SY9067: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1910 @ SV1540 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9067 @ SV1132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3282]) ).
thf(3693,plain,
! [SV1911: $i,SV1542: $i,SV1134: $i,SV696: $i,SV251: $i] :
( ( ! [SY9068: $i] :
( ( c_Expr_Oexp_OSeq @ SV251 @ SV696 @ SV1134 )
!= ( c_Expr_Oexp_OFAcc @ SV1542 @ SV1911 @ SY9068 @ SV1134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3284]) ).
thf(3694,plain,
! [SV1912: $i,SV1543: $i,SV1135: $i,SV697: $i,SV252: $i] :
( ( ! [SY9069: $i,SY9070: $i] :
( ( c_Expr_Oexp_OFAcc @ SV252 @ SV697 @ SV1135 @ SV1543 )
!= ( c_Expr_Oexp_OBinOp @ SV1912 @ SY9069 @ SY9070 @ SV1543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3285]) ).
thf(3695,plain,
! [SV1913: $i,SV1544: $i,SV1136: $i,SV698: $i,SV253: $i] :
( ( ! [SY9071: $i] :
( ( c_Expr_Oexp_OWhile @ SV253 @ SV698 @ SV1136 )
!= ( c_Expr_Oexp_OFAcc @ SV1544 @ SV1913 @ SY9071 @ SV1136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3286]) ).
thf(3696,plain,
! [SV1914: $i,SV1545: $i,SV1137: $i,SV699: $i,SV254: $i] :
( ( ! [SY9072: $i,SY9073: $i] :
( ( c_Expr_Oexp_OBinOp @ SV254 @ SV699 @ SV1137 @ SV1545 )
!= ( c_Expr_Oexp_OBinOp @ SV1914 @ SY9072 @ SY9073 @ SV1545 ) )
| ( SV254 = SV1914 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3287]) ).
thf(3697,plain,
! [SV1915: $i,SV1546: $i,SV1138: $i,SV700: $i,SV255: $i] :
( ( ! [SY9074: $i] :
( ! [SY9075: $i] :
( ( c_Expr_Oexp_OBinOp @ SV255 @ SV700 @ SV1138 @ SV1546 )
!= ( c_Expr_Oexp_OBinOp @ SV1915 @ SY9074 @ SY9075 @ SV1546 ) )
| ( SV700 = SY9074 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3288]) ).
thf(3698,plain,
! [SV1916: $i,SV1547: $i,SV1139: $i,SV701: $i,SV256: $i] :
( ( ! [SY9076: $i,SY9077: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV256 @ SV701 @ SV1139 @ SV1547 )
!= ( c_Expr_Oexp_OBinOp @ SV1916 @ SY9076 @ SY9077 @ SV1547 ) )
| ( SV1139 = SY9077 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3289]) ).
thf(3699,plain,
! [SV1917: $i,SV1548: $i,SV1140: $i,SV702: $i,SV257: $i] :
( ( ! [SY9078: $i] :
( ( c_Expr_Oexp_OVal @ SV257 @ SV702 )
!= ( c_Expr_Oexp_OFAss @ SV1140 @ SV1548 @ SV1917 @ SY9078 @ SV702 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3290]) ).
thf(3700,plain,
! [SV1918: $i,SV1549: $i,SV1141: $i,SV703: $i,SV258: $i] :
( ( ! [SY9079: $i,SY9080: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV258 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1549 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV1918 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9079 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9080 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV258 @ SV1549 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1918 @ SY9079 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9080 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3291]) ).
thf(3701,plain,
! [SV1919: $i,SV1550: $i,SV1142: $i,SV704: $i,SV259: $i] :
( ( ! [SY9081: $i,SY9082: $i,SY9083: $i] :
( ( c_SmallStep_Oredp @ SV259 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SV1919 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9081 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SY9082 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9083 )
| ~ ( c_SmallStep_Oredp @ SV259 @ SV1919 @ SY9081 @ SY9082 @ SY9083 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3292]) ).
thf(3702,plain,
! [SV1920: $i,SV1551: $i,SV1143: $i,SV705: $i,SV260: $i] :
( ( ( c_Expr_Oexp_OVal @ SV260 @ SV705 )
!= ( c_Expr_Oexp_OFAcc @ SV1143 @ SV1551 @ SV1920 @ SV705 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3293]) ).
thf(3703,plain,
! [SV1921: $i,SV1552: $i,SV1144: $i,SV706: $i,SV261: $i] :
( ( ( ( c_List_Olist_OCons @ SV261 @ SV706 @ SV1144 )
!= ( c_List_Olist_OCons @ SV1552 @ SV1921 @ SV1144 ) )
| ( SV706 = SV1921 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3294]) ).
thf(3704,plain,
! [SV1553: $i,SV1145: $i,SV707: $i,SV262: $i] :
( ( ( ! [SY8388: $i] :
( ( c_List_Olist_OCons @ SV262 @ SV707 @ SV1145 )
!= ( c_List_Olist_OCons @ SV1553 @ SY8388 @ SV1145 ) ) )
= $true )
| ( ( SV262 = SV1553 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3295]) ).
thf(3705,plain,
! [SV1922: $i,SV1554: $i,SV1146: $i,SV708: $i,SV263: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ ( c_Expr_Oexp_OBinOp @ SV1554 @ c_Expr_Obop_OEq @ SV1922 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY9084: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1922 @ SY9084 )
| ! [SY8391: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1554 @ SY8391 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3296]) ).
thf(3706,plain,
! [SV1923: $i,SV1555: $i,SV1147: $i,SV709: $i,SV264: $i] :
( ( ! [SY9086: $i,SY9087: $i] :
( ( c_Expr_Oexp_OBinOp @ SV264 @ SV709 @ SV1147 @ SV1555 )
!= ( c_Expr_Oexp_OCond @ SV1923 @ SY9086 @ SY9087 @ SV1555 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3297]) ).
thf(3707,plain,
! [SV1924: $i,SV1556: $i,SV1148: $i,SV710: $i,SV265: $i] :
( ( ! [SY9088: $i,SY9089: $i] :
( ( c_Expr_Oexp_OFAss @ SV265 @ SV710 @ SV1148 @ SV1556 @ SV1924 )
!= ( c_Expr_Oexp_OWhile @ SY9088 @ SY9089 @ SV1924 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3298]) ).
thf(3708,plain,
! [SV1925: $i,SV1557: $i,SV1149: $i,SV711: $i,SV267: $i] :
( ( ! [SY9090: $i,SY9091: $i,SY9092: $i] :
( ( c_Expr_Oexp_OFAcc @ SV267 @ SV711 @ SV1149 @ SV1557 )
!= ( c_Expr_Oexp_OFAss @ SV1925 @ SY9090 @ SY9091 @ SY9092 @ SV1557 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3299]) ).
thf(3709,plain,
! [SV1926: $i,SV1558: $i,SV1150: $i,SV712: $i,SV269: $i] :
( ( ( c_Expr_Oexp_OVal @ SV269 @ SV712 )
!= ( c_Expr_Oexp_OBinOp @ SV1150 @ SV1558 @ SV1926 @ SV712 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3300]) ).
thf(3710,plain,
! [SV1559: $i,SV1151: $i,SV713: $i,SV270: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV270 @ SV713 @ SV1151 )
= ( c_Expr_Oexp_OVal @ SV1559 @ SV1151 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3301]) ).
thf(3711,plain,
! [SV1927: $i,SV1560: $i,SV1152: $i,SV714: $i,SV271: $i] :
( ( ! [SY9093: $i] :
( ( c_Expr_Oexp_OFAcc @ SV271 @ SV714 @ SV1152 @ SV1560 )
!= ( c_Expr_Oexp_OWhile @ SV1927 @ SY9093 @ SV1560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3302]) ).
thf(3712,plain,
! [SV1928: $i,SV1561: $i,SV1153: $i,SV715: $i,SV272: $i] :
( ( ! [SY9094: $i,SY9095: $i,SY9096: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV272 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1928 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SY9094 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9096 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV272 @ SV1928 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9094 @ SY9095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9096 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3303]) ).
thf(3713,plain,
! [SV1929: $i,SV1562: $i,SV1154: $i,SV716: $i,SV273: $i] :
( ( ! [SY9097: $i,SY9098: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SV1154 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SV1929 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9097 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9098 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1154 @ SV1562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1929 @ SY9097 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9098 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3304]) ).
thf(3714,plain,
! [SV1930: $i,SV1563: $i,SV1155: $i,SV717: $i,SV274: $i] :
( ( ! [SY9099: $i,SY9100: $i] :
( ( c_Expr_Oexp_OWhile @ SV274 @ SV717 @ SV1155 )
!= ( c_Expr_Oexp_OTryCatch @ SV1563 @ SV1930 @ SY9099 @ SY9100 @ SV1155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3305]) ).
thf(3715,plain,
! [SV1931: $i,SV1564: $i,SV1156: $i,SV718: $i,SV275: $i] :
( ( ! [SY9101: $i,SY9102: $i] :
( ( c_SmallStep_Oredp @ SV275 @ ( c_Expr_Oexp_OBinOp @ SV718 @ SV1156 @ SV1564 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1931 @ ( c_Expr_Oexp_OBinOp @ SY9101 @ SV1156 @ SV1564 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9102 )
| ~ ( c_SmallStep_Oredp @ SV275 @ SV718 @ SV1931 @ SY9101 @ SY9102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3306]) ).
thf(3716,plain,
! [SV1932: $i,SV1565: $i,SV1157: $i,SV719: $i,SV276: $i] :
( ( ! [SY9103: $i] :
( ( c_Expr_Oexp_OSeq @ SV276 @ SV719 @ SV1157 )
!= ( c_Expr_Oexp_OBinOp @ SV1565 @ SV1932 @ SY9103 @ SV1157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3307]) ).
thf(3717,plain,
! [SV1933: $i,SV1566: $i,SV1158: $i,SV720: $i,SV277: $i] :
( ( ! [SY9104: $i,SY9105: $i,SY9106: $i] :
( ( c_Expr_Oexp_OFAss @ SV277 @ SV720 @ SV1158 @ SV1566 @ SV1933 )
!= ( c_Expr_Oexp_OFAcc @ SY9104 @ SY9105 @ SY9106 @ SV1933 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3308]) ).
thf(3718,plain,
! [SV1934: $i,SV1567: $i,SV1159: $i,SV721: $i,SV278: $i] :
( ( ! [SY9107: $i] :
( ( c_Expr_Oexp_OBinOp @ SV278 @ SV721 @ SV1159 @ SV1567 )
!= ( c_Expr_Oexp_OSeq @ SV1934 @ SY9107 @ SV1567 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3309]) ).
thf(3719,plain,
! [SV1935: $i,SV1568: $i,SV1161: $i,SV723: $i,SV280: $i] :
( ( ! [SY9108: $i,SY9109: $i,SY9110: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV280 @ SV723 @ SV1161 @ SV1568 @ SV1935 )
!= ( c_Expr_Oexp_OBinOp @ SY9108 @ SY9109 @ SY9110 @ SV1935 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3310]) ).
thf(3720,plain,
! [SV281: $i,SV1936: $i,SV724: $i,SV1162: $i] :
( ( ( ! [SY9111: $i] :
~ ( c_BigStep_Oeval @ SV1162 @ ( c_Expr_Oexp_OVal @ SV724 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1936 @ SV281 @ SY9111 ) )
= $true )
| ( ( SV281
= ( c_Expr_Oexp_OVal @ SV724 @ ( tc_List_Olist @ tc_String_Ochar ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3311]) ).
thf(3721,plain,
! [SV1937: $i,SV1569: $i,SV1163: $i,SV725: $i,SV282: $i] :
( ( ! [SY9112: $i,SY9113: $i] :
( ( c_Expr_Oexp_OFAss @ SV282 @ SV725 @ SV1163 @ SV1569 @ SV1937 )
!= ( c_Expr_Oexp_OSeq @ SY9112 @ SY9113 @ SV1937 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3312]) ).
thf(3722,plain,
! [SV1570: $i,SV1164: $i,SV726: $i,SV283: $i] :
( ( ( c_Expr_Oexp_OVal @ SV283 @ SV726 )
= ( c_Expr_Oexp_OWhile @ SV1164 @ SV1570 @ SV726 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3313]) ).
thf(3723,plain,
! [SV1938: $i,SV1571: $i,SV1165: $i,SV727: $i,SV284: $i] :
( ( ! [SY9114: $i,SY9115: $i,SY9116: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV284 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1938 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SY9114 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9116 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV284 @ SV1938 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9114 @ SY9115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9116 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3314]) ).
thf(3724,plain,
! [SV1939: $i,SV1572: $i,SV1166: $i,SV728: $i,SV285: $i] :
( ( ! [SY9117: $i,SY9118: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV285 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV1939 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9117 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9118 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV285 @ SV1572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1939 @ SY9117 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9118 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3315]) ).
thf(3725,plain,
! [SV1940: $i,SV1573: $i,SV1167: $i,SV729: $i,SV286: $i] :
( ( ! [SY9119: $i,SY9120: $i,SY9121: $i] :
( ( c_Expr_Oexp_OFAcc @ SV286 @ SV729 @ SV1167 @ SV1573 )
!= ( c_Expr_Oexp_OTryCatch @ SV1940 @ SY9119 @ SY9120 @ SY9121 @ SV1573 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3316]) ).
thf(3726,plain,
! [SV1941: $i,SV1574: $i,SV1168: $i,SV730: $i,SV287: $i] :
( ( ! [SY9122: $i] :
( ( c_SmallStep_Oredp @ SV287 @ ( c_Expr_Oexp_OSeq @ SV730 @ SV1168 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1574 @ ( c_Expr_Oexp_OSeq @ SV1941 @ SV1168 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9122 )
| ~ ( c_SmallStep_Oredp @ SV287 @ SV730 @ SV1574 @ SV1941 @ SY9122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3317]) ).
thf(3727,plain,
! [SV1942: $i,SV1575: $i,SV1169: $i,SV731: $i,SV288: $i] :
( ( ! [SY9123: $i,SY9124: $i] :
( ! [SY9125: $i,SY9126: $i] :
( ( c_Expr_Oexp_OFAss @ SV288 @ SV731 @ SV1169 @ SV1575 @ SV1942 )
!= ( c_Expr_Oexp_OFAss @ SY9123 @ SY9124 @ SY9125 @ SY9126 @ SV1942 ) )
| ( SV288 = SY9123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3318]) ).
thf(3728,plain,
! [SV1943: $i,SV1576: $i,SV1170: $i,SV732: $i,SV289: $i] :
( ( ! [SY9127: $i,SY9128: $i] :
( ! [SY9129: $i,SY9130: $i] :
( ( c_Expr_Oexp_OFAss @ SV289 @ SV732 @ SV1170 @ SV1576 @ SV1943 )
!= ( c_Expr_Oexp_OFAss @ SY9127 @ SY9128 @ SY9129 @ SY9130 @ SV1943 ) )
| ( SV732 = SY9128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3319]) ).
thf(3729,plain,
! [SV1944: $i,SV1577: $i,SV1171: $i,SV733: $i,SV290: $i] :
( ( ! [SY9131: $i,SY9132: $i,SY9133: $i] :
( ! [SY9134: $i] :
( ( c_Expr_Oexp_OFAss @ SV290 @ SV733 @ SV1171 @ SV1577 @ SV1944 )
!= ( c_Expr_Oexp_OFAss @ SY9131 @ SY9132 @ SY9133 @ SY9134 @ SV1944 ) )
| ( SV1171 = SY9133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3320]) ).
thf(3730,plain,
! [SV1945: $i,SV1578: $i,SV1172: $i,SV734: $i,SV291: $i] :
( ( ! [SY9135: $i,SY9136: $i,SY9137: $i,SY9138: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV291 @ SV734 @ SV1172 @ SV1578 @ SV1945 )
!= ( c_Expr_Oexp_OFAss @ SY9135 @ SY9136 @ SY9137 @ SY9138 @ SV1945 ) )
| ( SV1578 = SY9138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3321]) ).
thf(3731,plain,
! [SV1946: $i,SV1579: $i,SV1173: $i,SV735: $i,SV292: $i] :
( ( ! [SY9139: $i,SY9140: $i] :
( ( c_Expr_Oexp_OFAcc @ SV292 @ SV735 @ SV1173 @ SV1579 )
!= ( c_Expr_Oexp_OFAcc @ SV1946 @ SY9139 @ SY9140 @ SV1579 ) )
| ( SV292 = SV1946 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3322]) ).
thf(3732,plain,
! [SV1947: $i,SV1580: $i,SV1174: $i,SV736: $i,SV293: $i] :
( ( ! [SY9141: $i] :
( ! [SY9142: $i] :
( ( c_Expr_Oexp_OFAcc @ SV293 @ SV736 @ SV1174 @ SV1580 )
!= ( c_Expr_Oexp_OFAcc @ SV1947 @ SY9141 @ SY9142 @ SV1580 ) )
| ( SV736 = SY9141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3323]) ).
thf(3733,plain,
! [SV1948: $i,SV1581: $i,SV1175: $i,SV737: $i,SV294: $i] :
( ( ! [SY9143: $i,SY9144: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV294 @ SV737 @ SV1175 @ SV1581 )
!= ( c_Expr_Oexp_OFAcc @ SV1948 @ SY9143 @ SY9144 @ SV1581 ) )
| ( SV1175 = SY9144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3324]) ).
thf(3734,plain,
! [SV1949: $i,SV1582: $i,SV1176: $i,SV738: $i,SV295: $i] :
( ( ! [SY9145: $i,SY9146: $i] :
( ( c_List_Olist__all2 @ SV295 @ ( c_List_Olist_OCons @ SV738 @ SV1176 @ SV1582 ) @ ( c_List_Olist_OCons @ SV1949 @ SY9145 @ SY9146 ) @ SV1582 @ SY9146 )
| ~ ( c_List_Olist__all2 @ SV295 @ SV1176 @ SY9145 @ SV1582 @ SY9146 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV295 @ SV738 ) @ SV1949 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3325]) ).
thf(3735,plain,
! [SV1950: $i,SV1583: $i,SV1177: $i,SV739: $i,SV296: $i] :
( ( ! [SY9147: $i,SY9148: $i] :
( ( c_List_Olist__all2 @ SV296 @ ( c_List_Olist_OCons @ SV739 @ SV1177 @ SV1583 ) @ ( c_List_Olist_OCons @ SV1950 @ SY9147 @ SY9148 ) @ SV1583 @ SY9148 )
| ~ ( c_List_Olist__all2 @ SV296 @ SV1177 @ SY9147 @ SV1583 @ SY9148 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV296 @ SV739 ) @ SV1950 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3326]) ).
thf(3736,plain,
! [SV1951: $i,SV1584: $i,SV1178: $i,SV740: $i,SV297: $i] :
( ( ! [SY9149: $i,SY9150: $i] :
( ( c_List_Olist__all2 @ SV297 @ ( c_List_Olist_OCons @ SV740 @ SV1178 @ SV1584 ) @ ( c_List_Olist_OCons @ SV1951 @ SY9149 @ SY9150 ) @ SV1584 @ SY9150 )
| ~ ( c_List_Olist__all2 @ SV297 @ SV1178 @ SY9149 @ SV1584 @ SY9150 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV297 @ SV740 ) @ SV1951 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3327]) ).
thf(3737,plain,
! [SV1952: $i,SV1585: $i,SV1179: $i,SV741: $i,SV298: $i] :
( ( ! [SY9151: $i] :
( ( c_Expr_Oexp_OFAcc @ SV298 @ SV741 @ SV1179 @ SV1585 )
!= ( c_Expr_Oexp_OSeq @ SV1952 @ SY9151 @ SV1585 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3328]) ).
thf(3738,plain,
! [SV1953: $i,SV1586: $i,SV1180: $i,SV742: $i,SV299: $i] :
( ( ! [SY9152: $i] :
( ( c_Expr_Oexp_OWhile @ SV299 @ SV742 @ SV1180 )
!= ( c_Expr_Oexp_OBinOp @ SV1586 @ SV1953 @ SY9152 @ SV1180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3329]) ).
thf(3739,plain,
! [SV1954: $i,SV1587: $i,SV1181: $i,SV744: $i,SV301: $i] :
( ( ! [SY9153: $i,SY9154: $i,SY9155: $i] :
( ( c_Expr_Oexp_OBinOp @ SV301 @ SV744 @ SV1181 @ SV1587 )
!= ( c_Expr_Oexp_OFAss @ SV1954 @ SY9153 @ SY9154 @ SY9155 @ SV1587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3331]) ).
thf(3740,plain,
! [SV1955: $i,SV1588: $i,SV1182: $i,SV745: $i,SV302: $i] :
( ( ! [SY9156: $i] :
( ( c_Expr_Oexp_OBinOp @ SV302 @ SV745 @ SV1182 @ SV1588 )
!= ( c_Expr_Oexp_OWhile @ SV1955 @ SY9156 @ SV1588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3332]) ).
thf(3741,plain,
! [SV1956: $i,SV1589: $i,SV1183: $i,SV746: $i,SV303: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV303 @ SV746 @ SV1183 )
!= ( c_Expr_Oexp_OWhile @ SV1589 @ SV1956 @ SV1183 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3333]) ).
thf(3742,plain,
! [SV1957: $i,SV1590: $i,SV1184: $i,SV747: $i,SV304: $i] :
( ( ! [SY9157: $i,SY9158: $i,SY9159: $i,SY9160: $i] :
( ( c_Expr_Oexp_OFAss @ SV304 @ SV747 @ SV1184 @ SV1590 @ SV1957 )
!= ( c_Expr_Oexp_OTryCatch @ SY9157 @ SY9158 @ SY9159 @ SY9160 @ SV1957 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3334]) ).
thf(3743,plain,
! [SV1958: $i,SV1591: $i,SV1185: $i,SV748: $i,SV305: $i] :
( ( ! [SY9161: $i,SY9162: $i] :
( ( c_Expr_Oexp_OCond @ SV305 @ SV748 @ SV1185 @ SV1591 )
!= ( c_Expr_Oexp_OBinOp @ SV1958 @ SY9161 @ SY9162 @ SV1591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3335]) ).
thf(3744,plain,
! [SV1959: $i,SV1592: $i,SV1186: $i,SV749: $i,SV306: $i] :
( ( ! [SY9163: $i,SY9164: $i,SY9165: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SV1592 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1959 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SY9163 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9164 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9165 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1592 @ SV1959 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9163 @ SY9164 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9165 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3336]) ).
thf(3745,plain,
! [SV1960: $i,SV1593: $i,SV1187: $i,SV750: $i,SV307: $i] :
( ( ! [SY9166: $i,SY9167: $i] :
( ( c_SmallStep_Oredp @ SV307 @ ( c_Expr_Oexp_OCond @ SV750 @ SV1187 @ SV1593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1960 @ ( c_Expr_Oexp_OCond @ SY9166 @ SV1187 @ SV1593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9167 )
| ~ ( c_SmallStep_Oredp @ SV307 @ SV750 @ SV1960 @ SY9166 @ SY9167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3337]) ).
thf(3746,plain,
! [SV1961: $i,SV1594: $i,SV1188: $i,SV751: $i,SV308: $i] :
( ( ! [SY9168: $i,SY9169: $i] :
( ( c_Expr_Oexp_OBinOp @ SV308 @ SV751 @ SV1188 @ SV1594 )
!= ( c_Expr_Oexp_OFAcc @ SV1961 @ SY9168 @ SY9169 @ SV1594 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3338]) ).
thf(3747,plain,
! [SV1962: $i,SV1595: $i,SV1189: $i,SV752: $i,SV309: $i] :
( ( ( c_List_Olist__all2 @ SV309 @ SV752 @ SV1189 @ SV1595 @ SV1962 )
| ! [SY9170: $i,SY9171: $i] :
~ ( c_List_Olist__all2 @ SV309 @ ( c_List_Olist_OCons @ SY9170 @ SV752 @ SV1595 ) @ ( c_List_Olist_OCons @ SY9171 @ SV1189 @ SV1962 ) @ SV1595 @ SV1962 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3339]) ).
thf(3748,plain,
! [SV1963: $i,SV1596: $i,SV1190: $i,SV753: $i,SV310: $i] :
( ( ! [SY9172: $i,SY9173: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV310 @ SV753 @ SV1190 @ SV1596 @ SV1963 )
!= ( c_Expr_Oexp_OWhile @ SY9172 @ SY9173 @ SV1963 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3340]) ).
thf(3749,plain,
! [SV1964: $i,SV1597: $i,SV1191: $i,SV754: $i,SV311: $i] :
( ( ( c_Objects_Ohext @ SV311 @ SV754 )
| ! [SY9174: $i,SY9175: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1191 @ ( c_Pair @ SV311 @ SV1597 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1964 @ ( c_Pair @ SV754 @ SY9174 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9175 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3341]) ).
thf(3750,plain,
! [SV1965: $i,SV1598: $i,SV1192: $i,SV755: $i,SV312: $i] :
( ( ! [SY9176: $i,SY9177: $i,SY9178: $i,SY9179: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV312 @ SV755 @ SV1192 @ SV1598 @ SV1965 )
!= ( c_Expr_Oexp_OFAss @ SY9176 @ SY9177 @ SY9178 @ SY9179 @ SV1965 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3342]) ).
thf(3751,plain,
! [SV1966: $i,SV1599: $i,SV1193: $i,SV756: $i,SV313: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV313 @ SV756 @ SV1193 @ SV1599 )
!= ( c_Expr_Oexp_OVal @ SV1966 @ SV1599 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3343]) ).
thf(3752,plain,
! [SV1967: $i,SV1600: $i,SV1194: $i,SV757: $i,SV314: $i] :
( ( ! [SY9180: $i,SY9181: $i,SY9182: $i] :
( ( c_Expr_Oexp_OCond @ SV314 @ SV757 @ SV1194 @ SV1600 )
!= ( c_Expr_Oexp_OFAss @ SV1967 @ SY9180 @ SY9181 @ SY9182 @ SV1600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3344]) ).
thf(3753,plain,
! [SV1968: $i,SV1601: $i,SV1195: $i,SV758: $i,SV315: $i] :
( ( ! [SY9183: $i,SY9184: $i,SY9185: $i] :
( ( c_SmallStep_Oredp @ SV315 @ ( c_Expr_Oexp_OFAss @ SV758 @ SV1195 @ SV1601 @ SV1968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9183 @ ( c_Expr_Oexp_OFAss @ SY9184 @ SV1195 @ SV1601 @ SV1968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9185 )
| ~ ( c_SmallStep_Oredp @ SV315 @ SV758 @ SY9183 @ SY9184 @ SY9185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3345]) ).
thf(3754,plain,
! [SV1969: $i,SV1602: $i,SV1196: $i,SV759: $i,SV316: $i] :
( ( ! [SY9186: $i,SY9187: $i] :
( ( c_SmallStep_Oredp @ SV316 @ ( c_Expr_Oexp_OFAcc @ SV759 @ SV1196 @ SV1602 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1969 @ ( c_Expr_Oexp_OFAcc @ SY9186 @ SV1196 @ SV1602 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9187 )
| ~ ( c_SmallStep_Oredp @ SV316 @ SV759 @ SV1969 @ SY9186 @ SY9187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3346]) ).
thf(3755,plain,
! [SV1970: $i,SV1603: $i,SV1197: $i,SV760: $i,SV317: $i] :
( ( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ ( c_Expr_Oexp_OBinOp @ SV1603 @ c_Expr_Obop_OEq @ SV1970 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
| ! [SY9188: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1970 @ SY9188 )
| ! [SY8541: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1603 @ SY8541 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3347]) ).
thf(3756,plain,
! [SV1971: $i,SV1604: $i,SV1198: $i,SV761: $i,SV318: $i] :
( ( ! [SY9190: $i] :
( ( c_Expr_Oexp_OWhile @ SV318 @ SV761 @ SV1198 )
!= ( c_Expr_Oexp_OCond @ SV1604 @ SV1971 @ SY9190 @ SV1198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3348]) ).
thf(3757,plain,
! [SV1972: $i,SV1605: $i,SV1199: $i,SV762: $i,SV320: $i] :
( ( ! [SY9191: $i,SY9192: $i,SY9193: $i] :
( ( c_SmallStep_Oredp @ SV320 @ ( c_Expr_Oexp_OTryCatch @ SV762 @ SV1199 @ SV1605 @ SV1972 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9191 @ ( c_Expr_Oexp_OTryCatch @ SY9192 @ SV1199 @ SV1605 @ SV1972 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9193 )
| ~ ( c_SmallStep_Oredp @ SV320 @ SV762 @ SY9191 @ SY9192 @ SY9193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3349]) ).
thf(3758,plain,
! [SV1973: $i,SV1606: $i,SV1200: $i,SV763: $i,SV321: $i] :
( ( ! [SY9194: $i,SY9195: $i,SY9196: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV321 @ SV763 @ SV1200 @ SV1606 @ SV1973 )
!= ( c_Expr_Oexp_OFAcc @ SY9194 @ SY9195 @ SY9196 @ SV1973 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3350]) ).
thf(3759,plain,
! [SV1974: $i,SV1607: $i,SV1201: $i,SV764: $i,SV322: $i] :
( ( ! [SY9197: $i,SY9198: $i] :
( ( c_Expr_Oexp_OCond @ SV322 @ SV764 @ SV1201 @ SV1607 )
!= ( c_Expr_Oexp_OFAcc @ SV1974 @ SY9197 @ SY9198 @ SV1607 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3351]) ).
thf(3760,plain,
! [SV1975: $i,SV1608: $i,SV1202: $i,SV765: $i,SV323: $i] :
( ( ! [SY9199: $i] :
( ( c_Expr_Oexp_OFAss @ SV323 @ SV765 @ SV1202 @ SV1608 @ SV1975 )
!= ( c_Expr_Oexp_OVal @ SY9199 @ SV1975 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3352]) ).
thf(3761,plain,
! [SV1976: $i,SV1609: $i,SV1203: $i,SV766: $i,SV324: $i] :
( ( ! [SY9200: $i] :
( ( c_Expr_Oexp_OCond @ SV324 @ SV766 @ SV1203 @ SV1609 )
!= ( c_Expr_Oexp_OWhile @ SV1976 @ SY9200 @ SV1609 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3353]) ).
thf(3762,plain,
! [SV1977: $i,SV1610: $i,SV1204: $i,SV767: $i,SV325: $i] :
( ( ! [SY9201: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV325 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV1610 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1977 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9201 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV325 @ SV1204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1610 @ SV1977 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9201 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3354]) ).
thf(3763,plain,
! [SV1611: $i,SV326: $i,SV768: $i] :
( ( ( hBOOL @ ( hAPP @ SV768 @ SV326 ) )
= $false )
| ( ( c_in @ SV326 @ SV768 @ SV1611 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3355]) ).
thf(3764,plain,
! [SV1612: $i,SV327: $i,SV769: $i] :
( ( ( c_in @ SV769 @ SV327 @ SV1612 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV327 @ SV769 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3356]) ).
thf(3765,plain,
! [SV1978: $i,SV1614: $i,SV1206: $i,SV771: $i,SV329: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV329 @ SV771 @ SV1206 @ SV1614 )
!= ( c_Expr_Oexp_OVal @ SV1978 @ SV1614 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3358]) ).
thf(3766,plain,
! [SV1979: $i,SV1615: $i,SV1207: $i,SV772: $i,SV331: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV331 @ SV772 ) @ SV1207 ) )
| ! [SY9202: $i,SY9203: $i] :
~ ( c_List_Olist__all2 @ SV331 @ ( c_List_Olist_OCons @ SV772 @ SV1615 @ SV1979 ) @ ( c_List_Olist_OCons @ SV1207 @ SY9202 @ SY9203 ) @ SV1979 @ SY9203 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3359]) ).
thf(3767,plain,
! [SV1980: $i,SV1616: $i,SV1208: $i,SV773: $i,SV332: $i] :
( ( ! [SY9204: $i,SY9205: $i] :
( ( c_SmallStep_Oredp @ SV332 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SV1616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1980 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SY9204 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9205 )
| ~ ( c_SmallStep_Oredp @ SV332 @ SV1616 @ SV1980 @ SY9204 @ SY9205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3360]) ).
thf(3768,plain,
! [SV1981: $i,SV1617: $i,SV1209: $i,SV774: $i,SV333: $i] :
( ( ! [SY9206: $i,SY9207: $i] :
( ( c_Expr_Oexp_OFAcc @ SV333 @ SV774 @ SV1209 @ SV1617 )
!= ( c_Expr_Oexp_OCond @ SV1981 @ SY9206 @ SY9207 @ SV1617 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3361]) ).
thf(3769,plain,
! [SV334: $i,SV775: $i,SV1982: $i,SV1210: $i] :
( ( ( ! [SY9208: $i] :
~ ( c_BigStep_Oeval @ SV1210 @ ( c_Expr_Oexp_OVal @ SV1982 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV775 @ SY9208 @ SV334 ) )
= $true )
| ( ( SV334 = SV775 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3362]) ).
thf(3770,plain,
! [SV1983: $i,SV1618: $i,SV1211: $i,SV776: $i,SV335: $i] :
( ( ! [SY9209: $i,SY9210: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV335 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1618 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV1983 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9209 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9210 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV335 @ SV1618 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1983 @ SY9209 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9210 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3363]) ).
thf(3771,plain,
! [SV1984: $i,SV1619: $i,SV1212: $i,SV777: $i,SV336: $i] :
( ( ! [SY9211: $i,SY9212: $i,SY9213: $i] :
( ( c_Expr_Oexp_OFAss @ SV336 @ SV777 @ SV1212 @ SV1619 @ SV1984 )
!= ( c_Expr_Oexp_OCond @ SY9211 @ SY9212 @ SY9213 @ SV1984 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3364]) ).
thf(3772,plain,
! [SV1620: $i,SV1213: $i,SV778: $i,SV337: $i] :
( ( ( ! [SY8578: $i] :
( ( c_Expr_Oexp_OWhile @ SV337 @ SV778 @ SV1213 )
!= ( c_Expr_Oexp_OWhile @ SV1620 @ SY8578 @ SV1213 ) ) )
= $true )
| ( ( SV337 = SV1620 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3365]) ).
thf(3773,plain,
! [SV1985: $i,SV1621: $i,SV1214: $i,SV779: $i,SV338: $i] :
( ( ( ( c_Expr_Oexp_OWhile @ SV338 @ SV779 @ SV1214 )
!= ( c_Expr_Oexp_OWhile @ SV1621 @ SV1985 @ SV1214 ) )
| ( SV779 = SV1985 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3366]) ).
thf(3774,plain,
! [SV1986: $i,SV1622: $i,SV1215: $i,SV780: $i,SV339: $i] :
( ( ! [SY9214: $i,SY9215: $i,SY9216: $i] :
( ( c_Expr_Oexp_OBinOp @ SV339 @ SV780 @ SV1215 @ SV1622 )
!= ( c_Expr_Oexp_OTryCatch @ SV1986 @ SY9214 @ SY9215 @ SY9216 @ SV1622 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3367]) ).
thf(3775,plain,
! [SV1987: $i,SV1623: $i,SV1216: $i,SV781: $i,SV340: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV340 @ SV781 @ SV1216 )
!= ( c_Expr_Oexp_OSeq @ SV1623 @ SV1987 @ SV1216 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3368]) ).
thf(3776,plain,
! [SV1988: $i,SV1624: $i,SV1219: $i,SV784: $i,SV343: $i] :
( ( ! [SY9217: $i,SY9218: $i] :
( ( c_Expr_Oexp_OSeq @ SV343 @ SV784 @ SV1219 )
!= ( c_Expr_Oexp_OFAss @ SV1624 @ SV1988 @ SY9217 @ SY9218 @ SV1219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3371]) ).
thf(3777,plain,
! [SV1989: $i,SV1625: $i,SV1220: $i,SV785: $i,SV344: $i] :
( ( ! [SY9219: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ SV344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV785 @ SV1220 @ SV1625 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1989 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1989 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9219 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3372]) ).
thf(3778,plain,
! [SV1990: $i,SV1626: $i,SV1221: $i,SV786: $i,SV345: $i] :
( ( ! [SY9220: $i,SY9221: $i,SY9222: $i] :
( ( c_Expr_Oexp_OFAss @ SV345 @ SV786 @ SV1221 @ SV1626 @ SV1990 )
!= ( c_Expr_Oexp_OBinOp @ SY9220 @ SY9221 @ SY9222 @ SV1990 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3373]) ).
thf(3779,plain,
! [SV1991: $i,SV1627: $i,SV1222: $i,SV787: $i,SV346: $i] :
( ( ! [SY9223: $i,SY9224: $i] :
( ( c_Expr_Oexp_OWhile @ SV346 @ SV787 @ SV1222 )
!= ( c_Expr_Oexp_OFAss @ SV1627 @ SV1991 @ SY9223 @ SY9224 @ SV1222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3374]) ).
thf(3780,plain,
! [SV1992: $i,SV1628: $i,SV1223: $i,SV788: $i,SV347: $i] :
( ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SV1992 @ tc_Value_Oval @ tc_Type_Oty )
| ! [SY9225: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV347 @ SV1223 ) @ SY9225 @ SV1992 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SY9225 @ tc_Value_Oval @ tc_Type_Oty ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3375]) ).
thf(3781,plain,
! [SV1224: $i,SV789: $i,SV1993: $i,SV348: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV348 @ SV1993 @ SV789 ) @ c_Value_Oval_ONull ) @ SV1224 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV348 @ SV789 ) @ c_Type_Oty_ONT ) @ SV1224 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3376]) ).
thf(3782,plain,
! [SV1629: $i,SV1225: $i,SV790: $i,SV349: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV349 @ SV790 @ SV1225 ) @ c_Value_Oval_ONull ) @ SV1629 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV349 @ SV1225 ) @ c_Type_Oty_ONT ) @ SV1629 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3377]) ).
thf(3783,plain,
! [SV1994: $i,SV1630: $i,SV1226: $i,SV791: $i,SV350: $i] :
( ( ( ( c_Expr_Oexp_OSeq @ SV350 @ SV791 @ SV1226 )
!= ( c_Expr_Oexp_OSeq @ SV1630 @ SV1994 @ SV1226 ) )
| ( SV791 = SV1994 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3378]) ).
thf(3784,plain,
! [SV1631: $i,SV1227: $i,SV792: $i,SV351: $i] :
( ( ( ! [SY8600: $i] :
( ( c_Expr_Oexp_OSeq @ SV351 @ SV792 @ SV1227 )
!= ( c_Expr_Oexp_OSeq @ SV1631 @ SY8600 @ SV1227 ) ) )
= $true )
| ( ( SV351 = SV1631 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3379]) ).
thf(3785,plain,
! [SV1632: $i,SV1228: $i,SV793: $i,SV352: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV352 @ SV793 @ SV1228 )
= ( c_Expr_Oexp_OVal @ SV1632 @ SV1228 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3380]) ).
thf(3786,plain,
! [SV1995: $i,SV1633: $i,SV1229: $i,SV794: $i,SV353: $i] :
( ( ! [SY9226: $i,SY9227: $i,SY9228: $i] :
( ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ SV1633 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV1995 @ SV1229 @ SV353 @ SY9226 @ SY9227 @ SV1633 @ SY9228 @ SV794 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ ( c_Expr_Oexp_OTryCatch @ SV1633 @ SV1995 @ SY9227 @ SY9228 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3381]) ).
thf(3787,plain,
! [SV1996: $i,SV1634: $i,SV1230: $i,SV795: $i,SV354: $i] :
( ( ( c_Objects_Ohext @ SV354 @ SV795 )
| ! [SY9229: $i,SY9230: $i] :
~ ( c_BigStep_Oevals @ SV1230 @ SV1634 @ ( c_Pair @ SV354 @ SV1996 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SY9229 @ ( c_Pair @ SV795 @ SY9230 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3382]) ).
thf(3788,plain,
! [SV1997: $i,SV1231: $i,SV796: $i,SV355: $i] :
( ( ( ! [SY9231: $i] :
~ ( c_WellType_OWT @ SV355 @ SV796 @ ( c_Expr_Oexp_OWhile @ SV1231 @ SV1997 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9231 ) )
= $true )
| ( ( c_WellType_OWT @ SV355 @ SV796 @ SV1231 @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3383]) ).
thf(3789,plain,
! [SV1998: $i,SV1635: $i,SV1232: $i,SV797: $i,SV356: $i] :
( ( ( SV356
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1232 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) ) )
| ! [SY9232: $i] :
~ ( c_WellType_OWT @ SV1232 @ SV797 @ ( c_Expr_Oexp_OCond @ SY9232 @ SV1635 @ SV1998 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV356 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3384]) ).
thf(3790,plain,
! [SV1999: $i,SV1636: $i,SV1233: $i,SV798: $i,SV357: $i] :
( ( ! [SY9233: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
| ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9233 @ SV1233 )
| ! [SY9234: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9234 @ SV798 )
| ! [SY9235: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9235 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SY9235 @ SY9234 @ SY9233 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3385]) ).
thf(3791,plain,
! [SV2000: $i,SV1637: $i,SV1234: $i,SV799: $i,SV358: $i] :
( ( ! [SY9236: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
| ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9236 @ SV1234 )
| ! [SY9237: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9237 @ SV799 )
| ! [SY9238: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9238 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SY9238 @ SY9237 @ SY9236 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3386]) ).
thf(3792,plain,
! [SV2001: $i,SV1638: $i,SV1235: $i,SV800: $i,SV359: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV800 @ SV1235 ) @ SV1638 ) @ SV2001 ) )
| ! [SY9239: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SY9239 @ SV1235 ) @ SV1638 ) @ SV2001 ) )
| ~ ( c_Objects_Ohext @ SY9239 @ SV800 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3387]) ).
thf(3793,plain,
! [SV2002: $i,SV1639: $i,SV1236: $i,SV801: $i,SV361: $i] :
( ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV801 @ SV1236 ) @ SV1639 @ SV2002 @ tc_Value_Oval @ tc_Type_Oty )
| ! [SY9240: $i] :
( ~ ( c_Objects_Ohext @ SY9240 @ SV801 )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SY9240 @ SV1236 ) @ SV1639 @ SV2002 @ tc_Value_Oval @ tc_Type_Oty ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3388]) ).
thf(3794,plain,
! [SV362: $i,SV802: $i,SV1640: $i] :
( ( ( ~ ( c_Objects_Ohext @ SV1640 @ SV802 ) )
= $true )
| ( ( ~ ( c_Objects_Ohext @ SV362 @ SV1640 ) )
= $true )
| ( ( c_Objects_Ohext @ SV362 @ SV802 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3389]) ).
thf(3795,plain,
! [SV2003: $i,SV1641: $i,SV1238: $i,SV804: $i,SV364: $i] :
( ( ! [SY9241: $i] : ( c_SmallStep_Oredp @ SV364 @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ SV804 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1238 @ SV1641 @ SV2003 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9241 @ ( c_Expr_Oexp_OVal @ SV804 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9241 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3390]) ).
thf(3796,plain,
! [SV1642: $i,SV1239: $i,SV805: $i,SV365: $i] :
( ( ( c_WellType_OWT @ SV365 @ SV805 @ SV1239 @ c_Type_Oty_OBoolean )
= $true )
| ( ( ! [SY8624: $i,SY8625: $i] :
~ ( c_WellType_OWT @ SV365 @ SV805 @ ( c_Expr_Oexp_OCond @ SV1239 @ SV1642 @ SY8624 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8625 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3391]) ).
thf(3797,plain,
! [SV2004: $i,SV1643: $i,SV1240: $i,SV806: $i,SV366: $i] :
( ( ! [SY9242: $i,SY9243: $i,SY9244: $i] :
( ( c_Expr_Oexp_OCond @ SV366 @ SV806 @ SV1240 @ SV1643 )
!= ( c_Expr_Oexp_OTryCatch @ SV2004 @ SY9242 @ SY9243 @ SY9244 @ SV1643 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3392]) ).
thf(3798,plain,
! [SV807: $i,SV367: $i,SV1644: $i] :
( ( ( c_List_Olist__all2 @ ( c_fequal @ SV1644 ) @ SV367 @ SV807 @ SV1644 @ SV1644 )
= $false )
| ( ( SV367 = SV807 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3393]) ).
thf(3799,plain,
! [SV2005: $i,SV1645: $i,SV1241: $i,SV808: $i,SV368: $i] :
( ( ( c_Expr_Oexp_OVal @ SV368 @ SV808 )
!= ( c_Expr_Oexp_OCond @ SV1241 @ SV1645 @ SV2005 @ SV808 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3394]) ).
thf(3800,plain,
! [SV2006: $i,SV1646: $i,SV1242: $i,SV810: $i,SV370: $i] :
( ( ( c_Decl_Ois__class @ SV370 @ SV810 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY9245: $i,SY9246: $i] :
~ ( c_WellType_OWT @ SV370 @ SV1242 @ ( c_Expr_Oexp_OTryCatch @ SV1646 @ SV810 @ SV2006 @ SY9245 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9246 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3395]) ).
thf(3801,plain,
! [SV2007: $i,SV1647: $i,SV1243: $i,SV811: $i,SV371: $i] :
( ( ! [SY9247: $i] :
( ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ SV1647 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV1243 @ SV371 @ SV2007 @ SY9247 @ SV1647 @ SV811 ) )
| ! [SY9248: $i] :
~ ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ ( c_Expr_Oexp_OCond @ SY9248 @ SY9247 @ SV1647 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2007 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3396]) ).
thf(3802,plain,
! [SV2008: $i,SV1648: $i,SV1244: $i,SV812: $i,SV372: $i] :
( ( ! [SY9249: $i] :
( ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ SV1648 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV1244 @ SV372 @ SV2008 @ SV1648 @ SY9249 @ SV812 ) )
| ! [SY9250: $i] :
~ ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ ( c_Expr_Oexp_OCond @ SY9250 @ SV1648 @ SY9249 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2008 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3397]) ).
thf(3803,plain,
! [SV1649: $i,SV1245: $i,SV813: $i,SV373: $i] :
( ( ( c_WellType_OWT @ SV373 @ SV813 @ ( c_Expr_Oexp_OBinOp @ SV1245 @ c_Expr_Obop_OEq @ SV1649 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true )
| ( ( ! [SY8640: $i,SY8641: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV373 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY8640 ) @ SY8641 ) )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1649 @ SY8641 )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1245 @ SY8640 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3398]) ).
thf(3804,plain,
! [SV1650: $i,SV1246: $i,SV814: $i,SV374: $i] :
( ( ( c_WellType_OWT @ SV374 @ SV814 @ ( c_Expr_Oexp_OBinOp @ SV1246 @ c_Expr_Obop_OEq @ SV1650 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true )
| ( ( ! [SY8642: $i,SY8643: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV374 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SY8642 ) @ SY8643 ) )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1650 @ SY8642 )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1246 @ SY8643 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3399]) ).
thf(3805,plain,
! [SV2009: $i,SV1651: $i,SV1247: $i,SV815: $i,SV375: $i] :
( ( ( c_Expr_Oexp_OCond @ SV375 @ SV815 @ SV1247 @ SV1651 )
!= ( c_Expr_Oexp_OVal @ SV2009 @ SV1651 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3400]) ).
thf(3806,plain,
! [SV2010: $i,SV1652: $i,SV1248: $i,SV816: $i,SV376: $i] :
( ( ! [SY9251: $i] :
( ( c_Expr_Oexp_OSeq @ SV376 @ SV816 @ SV1248 )
!= ( c_Expr_Oexp_OCond @ SV1652 @ SV2010 @ SY9251 @ SV1248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3401]) ).
thf(3807,plain,
! [SV2011: $i,SV1653: $i,SV1249: $i,SV817: $i,SV377: $i] :
( ( ! [SY9252: $i] :
( ( SV377
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SY9252 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1249 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SY9252 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SY9252 ) ) )
| ! [SY9253: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1249 @ SY9252 @ SV817 @ ( c_Expr_Oexp_OCond @ SY9253 @ SV1653 @ SV2011 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3402]) ).
thf(3808,plain,
! [SV1654: $i,SV1250: $i,SV818: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) ) )
= $true )
| ( ( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SV1654 @ SV818 )
| ! [SY8650: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY8650 @ SV818 )
| ! [SY8651: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY8651 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV378 @ SV1250 @ ( c_Expr_Oexp_OCond @ SY8651 @ SY8650 @ SV1654 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3403]) ).
thf(3809,plain,
! [SV1655: $i,SV1252: $i,SV820: $i,SV380: $i] :
( ( ( c_Map_Omap__le @ SV380 @ SV820 @ SV1252 @ SV1655 )
= $true )
| ( ( ! [SY8652: $i] :
( ~ ( c_Map_Omap__le @ SY8652 @ SV820 @ SV1252 @ SV1655 )
| ~ ( c_Map_Omap__le @ SV380 @ SY8652 @ SV1252 @ SV1655 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3404]) ).
thf(3810,plain,
! [SV1656: $i,SV1253: $i,SV821: $i,SV381: $i] :
( ( ( c_WellType_OWT @ SV381 @ SV821 @ SV1253 @ SV1656 )
= $true )
| ( ( ! [SY8653: $i] :
( ~ ( c_Map_Omap__le @ SY8653 @ SV821 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellType_OWT @ SV381 @ SY8653 @ SV1253 @ SV1656 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3405]) ).
thf(3811,plain,
! [SV2012: $i,SV1657: $i,SV1254: $i,SV822: $i,SV382: $i] :
( ( ( c_Objects_Ohext @ SV382 @ SV822 )
| ! [SY9254: $i,SY9255: $i] :
~ ( c_BigStep_Oeval @ SV1254 @ SV1657 @ ( c_Pair @ SV382 @ SV2012 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SY9254 @ ( c_Pair @ SV822 @ SY9255 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3406]) ).
thf(3812,plain,
! [SV2013: $i,SV1658: $i,SV1255: $i,SV823: $i,SV383: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
| ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2013 @ SV823 )
| ! [SY9256: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9256 @ SV823 )
| ! [SY9257: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9257 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ ( c_Expr_Oexp_OCond @ SY9257 @ SY9256 @ SV2013 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3407]) ).
thf(3813,plain,
! [SV2014: $i,SV1659: $i,SV1256: $i,SV824: $i,SV384: $i] :
( ( ( c_WellType_OWT @ SV384 @ SV824 @ SV1256 @ SV1659 )
| ! [SY9258: $i,SY9259: $i] :
~ ( c_WellType_OWT @ SV384 @ SV824 @ ( c_Expr_Oexp_OTryCatch @ SV1256 @ SV2014 @ SY9258 @ SY9259 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1659 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3408]) ).
thf(3814,plain,
! [SV2015: $i,SV1660: $i,SV1257: $i,SV825: $i,SV385: $i] :
( ( ! [SY9260: $i,SY9261: $i] : ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ ( c_Expr_Oexp_OFAcc @ SV1660 @ SV2015 @ SY9260 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9261 )
| ~ ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ SV1660 @ c_Type_Oty_ONT ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3409]) ).
thf(3815,plain,
! [SV2016: $i,SV1661: $i,SV1258: $i,SV826: $i,SV386: $i] :
( ( ! [SY9262: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SY9262 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SY9262 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SY9262 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SY9262 ) ) )
| ! [SY9263: $i] :
~ ( c_WellTypeRT_OWTrt @ SV386 @ SY9262 @ SV826 @ ( c_Expr_Oexp_OCond @ SY9263 @ SV1661 @ SV2016 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3410]) ).
thf(3816,plain,
! [SV2017: $i,SV1662: $i,SV1259: $i,SV827: $i,SV387: $i] :
( ( ! [SY9264: $i,SY9265: $i] : ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ ( c_Expr_Oexp_OFAcc @ SV1662 @ SV2017 @ SY9264 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9265 )
| ~ ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ SV1662 @ c_Type_Oty_ONT ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3411]) ).
thf(3817,plain,
! [SV1663: $i,SV1260: $i,SV828: $i,SV388: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SV1260 @ SV1663 @ c_Type_Oty_OBoolean )
= $true )
| ( ( ! [SY8672: $i,SY8673: $i] :
~ ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SV1260 @ ( c_Expr_Oexp_OWhile @ SV1663 @ SY8672 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY8673 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3412]) ).
thf(3818,plain,
! [SV2018: $i,SV1664: $i,SV1261: $i,SV829: $i,SV389: $i] :
( ( ! [SY9266: $i] :
( ( c_Expr_Oexp_OCond @ SV389 @ SV829 @ SV1261 @ SV1664 )
!= ( c_Expr_Oexp_OSeq @ SV2018 @ SY9266 @ SV1664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3413]) ).
thf(3819,plain,
! [SV2019: $i,SV1666: $i,SV1263: $i,SV831: $i,SV391: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV391 @ SV831 ) @ ( c_Conform_Osko__Conform__Xconf__def__1__1 @ SV391 @ SV1263 @ SV1666 @ SV2019 @ SV831 ) ) @ SV1263 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV391 @ SV1666 @ SV831 ) @ SV2019 ) @ SV1263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3415]) ).
thf(3820,plain,
! [SV2020: $i,SV1667: $i,SV1264: $i,SV832: $i,SV392: $i] :
( ( ! [SY9267: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ ( c_List_Olist_OCons @ SV1264 @ SV1667 @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ SV2020 @ SY9267 @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1667 @ SY9267 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1264 ) @ SV2020 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3416]) ).
thf(3821,plain,
! [SV2021: $i,SV1668: $i,SV393: $i,SV833: $i] :
( ( ( ~ ( c_Map_Omap__le @ SV833 @ SV393 @ SV1668 @ SV2021 )
| ~ ( c_Map_Omap__le @ SV393 @ SV833 @ SV1668 @ SV2021 ) )
= $true )
| ( ( SV393 = SV833 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3417]) ).
thf(3822,plain,
! [SV2022: $i,SV1669: $i,SV1265: $i,SV834: $i,SV394: $i] :
( ( ! [SY9268: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV394 @ SV834 @ SV1265 @ SV1669 @ SV2022 )
!= ( c_Expr_Oexp_OVal @ SY9268 @ SV2022 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3418]) ).
thf(3823,plain,
! [SV395: $i,SV2023: $i,SV1670: $i,SV835: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV835 @ SV1670 @ SV2023 ) @ SV395 ) @ c_Type_Oty_ONT ) ) )
= $true )
| ( ( SV395 = c_Value_Oval_ONull )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3419]) ).
thf(3824,plain,
! [SV2024: $i,SV1671: $i,SV1266: $i,SV836: $i,SV396: $i] :
( ( ! [SY9269: $i,SY9270: $i,SY9271: $i] :
( ( c_BigStep_Oeval @ SV396 @ ( c_Expr_Oexp_OTryCatch @ SV836 @ SV1266 @ SV1671 @ SV2024 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9269 @ ( c_Expr_Oexp_OVal @ SY9270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9271 )
| ~ ( c_BigStep_Oeval @ SV396 @ SV836 @ SY9269 @ ( c_Expr_Oexp_OVal @ SY9270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3420]) ).
thf(3825,plain,
! [SV2025: $i,SV1672: $i,SV1267: $i,SV837: $i,SV397: $i] :
( ( ! [SY9272: $i,SY9273: $i,SY9274: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV397 @ SV837 @ SV1267 @ SV1672 @ SV2025 )
!= ( c_Expr_Oexp_OCond @ SY9272 @ SY9273 @ SY9274 @ SV2025 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3421]) ).
thf(3826,plain,
! [SV2026: $i,SV1673: $i,SV1268: $i,SV838: $i,SV398: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
| ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SV2026 @ SV1268 )
| ! [SY9275: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9275 @ SV838 )
| ! [SY9276: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9276 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SY9276 @ SY9275 @ SV2026 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3422]) ).
thf(3827,plain,
! [SV2027: $i,SV1674: $i,SV1269: $i,SV839: $i,SV399: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
| ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SV2027 @ SV1269 )
| ! [SY9277: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9277 @ SV839 )
| ! [SY9278: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9278 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SY9278 @ SY9277 @ SV2027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3423]) ).
thf(3828,plain,
! [SV2028: $i,SV1675: $i,SV1270: $i,SV840: $i,SV400: $i] :
( ( ! [SY9279: $i] :
( ( c_BigStep_Oeval @ SV400 @ ( c_Expr_Oexp_OSeq @ SV840 @ SV1270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1675 @ SV2028 @ SY9279 )
| ! [SY9280: $i] :
( ~ ( c_BigStep_Oeval @ SV400 @ SV1270 @ SY9280 @ SV2028 @ SY9279 )
| ! [SY8700: $i] :
~ ( c_BigStep_Oeval @ SV400 @ SV840 @ SV1675 @ ( c_Expr_Oexp_OVal @ SY8700 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9280 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3424]) ).
thf(3829,plain,
! [SV2029: $i,SV1676: $i,SV1271: $i,SV841: $i,SV401: $i] :
( ( ! [SY9282: $i] :
( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ ( c_Expr_Oexp_OSeq @ SV1676 @ SV2029 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9282 )
| ~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV2029 @ SY9282 )
| ! [SY8703: $i] :
~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV1676 @ SY8703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3425]) ).
thf(3830,plain,
! [SV2030: $i,SV1677: $i,SV1272: $i,SV842: $i,SV402: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ SV1677 @ c_Type_Oty_OBoolean )
| ! [SY9284: $i,SY9285: $i] :
~ ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ ( c_Expr_Oexp_OCond @ SV1677 @ SV2030 @ SY9284 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9285 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3426]) ).
thf(3831,plain,
! [SV2031: $i,SV1678: $i,SV1273: $i,SV843: $i,SV403: $i] :
( ( ( c_WellType_OWT @ SV403 @ SV843 @ SV1273 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV843 @ SV403 @ SV1678 @ SV2031 @ SV1273 ) )
| ! [SY9286: $i] :
~ ( c_WellType_OWT @ SV403 @ SV843 @ ( c_Expr_Oexp_OCond @ SY9286 @ SV2031 @ SV1273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1678 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3427]) ).
thf(3832,plain,
! [SV2032: $i,SV1679: $i,SV1274: $i,SV844: $i,SV404: $i] :
( ( ( c_WellType_OWT @ SV404 @ SV844 @ SV1274 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV844 @ SV404 @ SV1679 @ SV1274 @ SV2032 ) )
| ! [SY9287: $i] :
~ ( c_WellType_OWT @ SV404 @ SV844 @ ( c_Expr_Oexp_OCond @ SY9287 @ SV1274 @ SV2032 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1679 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3428]) ).
thf(3833,plain,
! [SV2033: $i,SV1680: $i,SV1275: $i,SV845: $i,SV405: $i] :
( ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV405 @ SV845 ) @ ( c_Conform_Osko__Conform__Xconfs__conv__map__1__1 @ SV405 @ SV1275 @ SV1680 @ SV2033 @ SV845 ) @ SV1275 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV405 @ SV1680 @ SV845 ) @ SV2033 @ SV1275 @ tc_Value_Oval @ tc_Type_Oty ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3429]) ).
thf(3834,plain,
! [SV2034: $i,SV1681: $i,SV1276: $i,SV846: $i,SV406: $i] :
( ( ! [SY9288: $i] :
( ( SV406
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SY9288 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1276 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SY9288 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SY9288 ) ) )
| ! [SY9289: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1276 @ SY9288 @ SV846 @ ( c_Expr_Oexp_OCond @ SY9289 @ SV1681 @ SV2034 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3430]) ).
thf(3835,plain,
! [SV2035: $i,SV1682: $i,SV1277: $i,SV847: $i,SV407: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) )
| ! [SY9290: $i] :
~ ( c_WellType_OWT @ SV407 @ SV847 @ ( c_Expr_Oexp_OCond @ SY9290 @ SV1682 @ SV2035 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1277 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3431]) ).
thf(3836,plain,
! [SV2036: $i,SV1683: $i,SV1278: $i,SV848: $i,SV408: $i] :
( ( ! [SY9291: $i] :
( ( c_Pair @ SV408 @ SV848 @ SV1278 @ SV1683 )
!= ( c_Pair @ SV2036 @ SY9291 @ SV1278 @ SV1683 ) )
| ( SV408 = SV2036 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3432]) ).
thf(3837,plain,
! [SV2037: $i,SV1684: $i,SV1279: $i,SV849: $i,SV409: $i] :
( ( ! [SY9292: $i] :
( ( ( c_Pair @ SV409 @ SV849 @ SV1279 @ SV1684 )
!= ( c_Pair @ SV2037 @ SY9292 @ SV1279 @ SV1684 ) )
| ( SV849 = SY9292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3433]) ).
thf(3838,plain,
! [SV2038: $i,SV1685: $i,SV1280: $i,SV850: $i,SV410: $i] :
( ( ! [SY9293: $i] :
( ( c_Expr_Oexp_OVal @ SV410 @ SV850 )
!= ( c_Expr_Oexp_OTryCatch @ SV1280 @ SV1685 @ SV2038 @ SY9293 @ SV850 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3434]) ).
thf(3839,plain,
! [SV2039: $i,SV1686: $i,SV1281: $i,SV851: $i,SV411: $i] :
( ( ( c_WellType_OWT @ SV411 @ SV851 @ ( c_Expr_Oexp_OSeq @ SV1281 @ SV1686 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2039 )
| ~ ( c_WellType_OWT @ SV411 @ SV851 @ SV1686 @ SV2039 )
| ! [SY7788: $i] :
~ ( c_WellType_OWT @ SV411 @ SV851 @ SV1281 @ SY7788 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3435]) ).
thf(3840,plain,
! [SV2040: $i,SV1687: $i,SV1282: $i,SV852: $i,SV412: $i] :
( ( ! [SY9295: $i,SY9296: $i] :
( ( ( c_Expr_Oexp_OCond @ SV412 @ SV852 @ SV1282 @ SV1687 )
!= ( c_Expr_Oexp_OCond @ SV2040 @ SY9295 @ SY9296 @ SV1687 ) )
| ( SV1282 = SY9296 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3436]) ).
thf(3841,plain,
! [SV2041: $i,SV1688: $i,SV1283: $i,SV853: $i,SV413: $i] :
( ( ! [SY9297: $i] :
( ! [SY9298: $i] :
( ( c_Expr_Oexp_OCond @ SV413 @ SV853 @ SV1283 @ SV1688 )
!= ( c_Expr_Oexp_OCond @ SV2041 @ SY9297 @ SY9298 @ SV1688 ) )
| ( SV853 = SY9297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3437]) ).
thf(3842,plain,
! [SV2042: $i,SV1689: $i,SV1284: $i,SV854: $i,SV414: $i] :
( ( ! [SY9299: $i,SY9300: $i] :
( ( c_Expr_Oexp_OCond @ SV414 @ SV854 @ SV1284 @ SV1689 )
!= ( c_Expr_Oexp_OCond @ SV2042 @ SY9299 @ SY9300 @ SV1689 ) )
| ( SV414 = SV2042 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3438]) ).
thf(3843,plain,
! [SV2043: $i,SV1690: $i,SV1285: $i,SV855: $i,SV415: $i] :
( ( ( SV415
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1285 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) ) )
| ! [SY9301: $i] :
~ ( c_WellType_OWT @ SV1285 @ SV855 @ ( c_Expr_Oexp_OCond @ SY9301 @ SV1690 @ SV2043 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV415 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3439]) ).
thf(3844,plain,
! [SV2044: $i,SV1691: $i,SV1286: $i,SV856: $i,SV416: $i] :
( ( ! [SY9302: $i,SY9303: $i,SY9304: $i,SY9305: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV416 @ SV856 @ SV1286 @ SV1691 @ SV2044 )
!= ( c_Expr_Oexp_OTryCatch @ SY9302 @ SY9303 @ SY9304 @ SY9305 @ SV2044 ) )
| ( SV1691 = SY9305 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3440]) ).
thf(3845,plain,
! [SV2045: $i,SV1692: $i,SV1287: $i,SV857: $i,SV417: $i] :
( ( ! [SY9306: $i,SY9307: $i,SY9308: $i] :
( ! [SY9309: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV417 @ SV857 @ SV1287 @ SV1692 @ SV2045 )
!= ( c_Expr_Oexp_OTryCatch @ SY9306 @ SY9307 @ SY9308 @ SY9309 @ SV2045 ) )
| ( SV1287 = SY9308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3441]) ).
thf(3846,plain,
! [SV2046: $i,SV1693: $i,SV1288: $i,SV858: $i,SV418: $i] :
( ( ! [SY9310: $i,SY9311: $i] :
( ! [SY9312: $i,SY9313: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV418 @ SV858 @ SV1288 @ SV1693 @ SV2046 )
!= ( c_Expr_Oexp_OTryCatch @ SY9310 @ SY9311 @ SY9312 @ SY9313 @ SV2046 ) )
| ( SV858 = SY9311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3442]) ).
thf(3847,plain,
! [SV2047: $i,SV1694: $i,SV1289: $i,SV859: $i,SV419: $i] :
( ( ! [SY9314: $i,SY9315: $i] :
( ! [SY9316: $i,SY9317: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV419 @ SV859 @ SV1289 @ SV1694 @ SV2047 )
!= ( c_Expr_Oexp_OTryCatch @ SY9314 @ SY9315 @ SY9316 @ SY9317 @ SV2047 ) )
| ( SV419 = SY9314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3443]) ).
thf(3848,plain,
! [SV1695: $i,SV1290: $i,SV861: $i,SV421: $i] :
( ( ( c_Expr_Oexp_OVal @ SV421 @ SV861 )
= ( c_Expr_Oexp_OSeq @ SV1290 @ SV1695 @ SV861 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3444]) ).
thf(3849,plain,
! [SV2048: $i,SV1696: $i,SV1292: $i,SV863: $i,SV423: $i] :
( ( ! [SY9318: $i,SY9319: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV423 @ SV863 @ SV1292 @ SV1696 @ SV2048 )
!= ( c_Expr_Oexp_OSeq @ SY9318 @ SY9319 @ SV2048 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3445]) ).
thf(3850,plain,
! [SV2049: $i,SV1697: $i,SV1293: $i,SV864: $i,SV424: $i] :
( ( ! [SY9320: $i,SY9321: $i] :
( ( c_Expr_Oexp_OSeq @ SV424 @ SV864 @ SV1293 )
!= ( c_Expr_Oexp_OTryCatch @ SV1697 @ SV2049 @ SY9320 @ SY9321 @ SV1293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3446]) ).
thf(3851,plain,
! [SV1294: $i,SV865: $i,SV425: $i] :
( ( ( ( c_Expr_Oexp_OVal @ SV425 @ SV865 )
= ( c_Expr_Oexp_OVal @ SV1294 @ SV865 ) )
= $false )
| ( ( SV425 = SV1294 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3447]) ).
thf(3852,plain,
! [SV866: $i,SV426: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV426 @ v_e_092_060_094isub_0622____ @ SV866 )
= $false )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV426 @ ( 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____ @ SV426 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ SV426 @ v_P @ SV866 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3448]) ).
thf(3853,plain,
! [SV867: $i,SV427: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV427 @ v_e_092_060_094isub_0622____ @ SV867 )
= $false )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV427 @ ( 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 )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XIH__1 @ SV427 @ v_P @ SV867 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV867 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3449]) ).
thf(3854,plain,
! [SV868: $i,SV428: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV428 @ v_e_092_060_094isub_0622____ @ SV868 )
= $false )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV428 @ ( 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____ @ SV428 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__2__1 @ SV428 @ v_P @ SV868 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3450]) ).
thf(3855,plain,
! [SV869: $i,SV429: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV429 @ v_e_092_060_094isub_0622____ @ SV869 )
= $false )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV429 @ ( 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 )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ SV429 @ v_P @ SV869 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV869 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3451]) ).
thf(3856,plain,
! [SV2050: $i,SV1698: $i,SV1295: $i,SV870: $i,SV430: $i] :
( ( ! [SY9322: $i] :
( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ ( c_Expr_Oexp_OSeq @ SV1698 @ SV2050 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9322 )
| ~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV2050 @ SY9322 )
| ! [SY8764: $i] :
~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV1698 @ SY8764 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3452]) ).
thf(3857,plain,
! [SV871: $i,SV431: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV431 @ v_e_092_060_094isub_0622____ @ SV871 )
= $false )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV431 @ ( 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 )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__2__1 @ SV431 @ v_P @ SV871 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV871 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3453]) ).
thf(3858,plain,
! [SV2051: $i,SV1699: $i,SV1296: $i,SV872: $i,SV432: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2051 @ SV872 )
| ! [SY9324: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9324 @ SV872 )
| ! [SY9325: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9325 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ ( c_Expr_Oexp_OCond @ SY9325 @ SY9324 @ SV2051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3454]) ).
thf(3859,plain,
! [SV873: $i,SV433: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ SV433 @ v_e_092_060_094isub_0622____ @ SV873 )
= $false )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV433 @ ( 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____ @ SV433 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XIH__1 @ SV433 @ v_P @ SV873 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3455]) ).
thf(3860,plain,
! [SV2052: $i,SV1700: $i,SV1297: $i,SV874: $i,SV434: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SV1297 @ SV1700 @ SV2052 )
| ! [SY9326: $i] :
( ~ ( c_Map_Omap__le @ SY9326 @ SV1297 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SY9326 @ SV1700 @ SV2052 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3456]) ).
thf(3861,plain,
! [SV2053: $i,SV1701: $i,SV1298: $i,SV875: $i,SV435: $i] :
( ( ( c_Progress_OWTrt_H @ SV435 @ SV875 @ SV1298 @ SV1701 @ SV2053 )
| ~ ( c_WellTypeRT_OWTrt @ SV435 @ SV875 @ SV1298 @ SV1701 @ SV2053 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3457]) ).
thf(3862,plain,
! [SV2054: $i,SV1702: $i,SV1299: $i,SV876: $i,SV436: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV436 @ SV876 @ SV1299 @ SV1702 @ SV2054 )
| ~ ( c_Progress_OWTrt_H @ SV436 @ SV876 @ SV1299 @ SV1702 @ SV2054 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3458]) ).
thf(3863,plain,
! [SV2055: $i,SV1703: $i,SV1300: $i,SV877: $i,SV437: $i] :
( ( ! [SY9327: $i,SY9328: $i,SY9329: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV437 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV877 @ SV1300 @ SV437 @ SV1703 @ SV2055 @ SY9327 @ SY9328 @ SY9329 ) ) @ SV1703 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV437 @ SY9329 @ SV1300 @ ( c_Expr_Oexp_OTryCatch @ SY9327 @ SV877 @ SV2055 @ SY9328 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3459]) ).
thf(3864,plain,
! [SV1704: $i,SV1302: $i,SV879: $i,SV439: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SV1704 ) )
= $true )
| ( ( ! [SY8776: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SY8776 ) @ SV1704 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SY8776 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3460]) ).
thf(3865,plain,
! [SV2056: $i,SV1705: $i,SV1303: $i,SV880: $i,SV440: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SV2056 ) )
| ! [SY9330: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV440 @ SV1303 ) @ SY9330 ) @ SV2056 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SY9330 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3461]) ).
thf(3866,plain,
! [SV2057: $i,SV1706: $i,SV1304: $i,SV881: $i,SV441: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV441 @ SV881 @ SV1304 @ SV1706 @ SV2057 )
| ~ ( c_WellType_OWT @ SV441 @ SV1304 @ SV1706 @ SV2057 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3462]) ).
thf(3867,plain,
! [SV2058: $i,SV1707: $i,SV1305: $i,SV882: $i,SV442: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV442 @ SV882 @ SV1305 @ SV1707 @ SV2058 )
| ! [SY9331: $i] :
( ~ ( c_Objects_Ohext @ SY9331 @ SV882 )
| ~ ( c_WellTypeRT_OWTrt @ SV442 @ SY9331 @ SV1305 @ SV1707 @ SV2058 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3463]) ).
thf(3868,plain,
! [SV2059: $i,SV1708: $i,SV1306: $i,SV883: $i,SV443: $i] :
( ( ! [SY9332: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9332 @ SV1306 )
| ! [SY9333: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9333 @ SV883 )
| ! [SY9334: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9334 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SY9334 @ SY9333 @ SY9332 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3464]) ).
thf(3869,plain,
! [SV2060: $i,SV1709: $i,SV1307: $i,SV884: $i,SV444: $i] :
( ( ! [SY9335: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9335 @ SV1307 )
| ! [SY9336: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9336 @ SV884 )
| ! [SY9337: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9337 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SY9337 @ SY9336 @ SY9335 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3465]) ).
thf(3870,plain,
! [SV885: $i] :
( ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622_H____ @ SV885 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV885 ) @ v_T_092_060_094isub_0622____ ) )
= $false )
| ( v_thesis____ = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3466]) ).
thf(3871,plain,
! [SV1710: $i,SV1308: $i,SV886: $i,SV445: $i] :
( ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SV1710 @ tc_Type_Oty @ tc_Type_Oty )
= $true )
| ( ( ! [SY8790: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SY8790 @ SV1710 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SY8790 @ tc_Type_Oty @ tc_Type_Oty ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3467]) ).
thf(3872,plain,
! [SV889: $i,SV448: $i,SV1711: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV1711 ) @ SV448 ) @ SV889 ) )
= $false )
| ( ( SV448 = SV889 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3468]) ).
thf(3873,plain,
! [SV1712: $i,SV1310: $i,SV890: $i,SV450: $i,SV1: $i] :
( ( ( c_BigStep_Oeval @ SV1 @ ( c_Expr_Oexp_Othrow @ SV450 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV890 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1310 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1712 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV1 @ SV450 @ SV890 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1310 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1712 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3470]) ).
thf(3874,plain,
! [SV2061: $i,SV1713: $i,SV1311: $i,SV891: $i,SV452: $i,SV3: $i] :
( ( ( c_BigStep_Oeval @ SV3 @ ( c_Expr_Oexp_OWhile @ SV452 @ SV891 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1311 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2061 )
| ! [SY9338: $i] :
( ~ ( c_BigStep_Oeval @ SV3 @ SV891 @ SY9338 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2061 )
| ~ ( c_BigStep_Oeval @ SV3 @ SV452 @ SV1311 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3471]) ).
thf(3875,plain,
! [SV2062: $i,SV1714: $i,SV1312: $i,SV892: $i,SV453: $i,SV6: $i] :
( ( ! [SY9339: $i] :
( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1312 @ SV1714 @ SV2062 )
| ~ ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9339 @ SV1714 @ SV2062 )
| ! [SY7886: $i] :
( ! [SY6574: $i] :
~ ( c_BigStep_Oeval @ SV6 @ SV892 @ SY7886 @ ( c_Expr_Oexp_OVal @ SY6574 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9339 )
| ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SV1312 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY7886 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3472]) ).
thf(3876,plain,
! [SV2063: $i,SV1715: $i,SV1314: $i,SV894: $i,SV455: $i,SV8: $i] :
( ( ! [SY9342: $i] :
( ( c_BigStep_Oeval @ SV8 @ ( c_Expr_Oexp_OCond @ SV455 @ SV894 @ SV1314 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1715 @ SV2063 @ SY9342 )
| ! [SY9343: $i] :
( ~ ( c_BigStep_Oeval @ SV8 @ SV894 @ SY9343 @ SV2063 @ SY9342 )
| ~ ( c_BigStep_Oeval @ SV8 @ SV455 @ SV1715 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9343 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3473]) ).
thf(3877,plain,
! [SV2064: $i,SV1717: $i,SV1316: $i,SV896: $i,SV457: $i,SV12: $i] :
( ( c_SmallStep_Oredp @ SV12 @ ( c_Expr_Oexp_OBlock @ SV457 @ SV896 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV457 @ ( c_Expr_Oexp_OVal @ SV1316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1717 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2064 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1717 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2064 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3475]) ).
thf(3878,plain,
! [SV2065: $i,SV1719: $i,SV1319: $i,SV899: $i,SV460: $i,SV15: $i] :
( ( ! [SY9344: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9344 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9345: $i] :
( ! [SY9346: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SY9345 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9346 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9344 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9345 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3477]) ).
thf(3879,plain,
! [SV2066: $i,SV1720: $i,SV1320: $i,SV900: $i,SV461: $i,SV16: $i] :
( ( ! [SY9347: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV16 @ SV461 @ SV900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9347 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9348: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV461 @ SY9348 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9347 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV16 @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9348 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9347 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3478]) ).
thf(3880,plain,
! [SV2067: $i,SV1721: $i,SV1321: $i,SV901: $i,SV462: $i,SV17: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV17 @ SV462 @ SV901 @ SV1321 )
!= ( c_Expr_Oexp_OSeq @ SV1721 @ SV2067 @ SV1321 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3479]) ).
thf(3881,plain,
! [SV1723: $i,SV1323: $i,SV903: $i,SV464: $i,SV19: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV19 @ SV464 )
= ( c_Expr_Oexp_OCond @ SV903 @ SV1323 @ SV1723 @ SV464 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3481]) ).
thf(3882,plain,
! [SV2068: $i,SV1724: $i,SV1325: $i,SV905: $i,SV466: $i,SV21: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV21 @ SV466 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV905 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1724 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2068 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV466 @ SV905 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1724 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2068 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3483]) ).
thf(3883,plain,
! [SV1725: $i,SV1326: $i,SV906: $i,SV467: $i,SV22: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV22 @ SV467 @ SV906 @ SV1326 )
= ( c_Expr_Oexp_Othrow @ SV1725 @ SV1326 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3484]) ).
thf(3884,plain,
! [SV2069: $i,SV1726: $i,SV1328: $i,SV908: $i,SV469: $i,SV24: $i] :
( ( ! [SY9349: $i] :
( ( c_Expr_Oexp_OCond @ SV24 @ SV469 @ SV908 @ SV1328 )
!= ( c_Expr_Oexp_OBlock @ SV1726 @ SV2069 @ SY9349 @ SV1328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3486]) ).
thf(3885,plain,
! [SV1727: $i,SV1329: $i,SV909: $i,SV470: $i,SV25: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV25 @ SV470 @ SV909 )
= ( c_Expr_Oexp_OLAss @ SV1329 @ SV1727 @ SV909 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3487]) ).
thf(3886,plain,
! [SV1728: $i,SV1331: $i,SV911: $i,SV472: $i,SV27: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV27 @ SV472 @ SV911 )
= ( c_Expr_Oexp_OLAss @ SV1331 @ SV1728 @ SV911 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3489]) ).
thf(3887,plain,
! [SV2070: $i,SV1729: $i,SV1332: $i,SV912: $i,SV473: $i,SV28: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV28 @ SV473 @ SV912 )
!= ( c_Expr_Oexp_OBlock @ SV1332 @ SV1729 @ SV2070 @ SV912 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3490]) ).
thf(3888,plain,
! [SV2071: $i,SV1730: $i,SV1333: $i,SV913: $i,SV474: $i,SV29: $i] :
( ( ( c_BigStep_Oeval @ SV29 @ ( c_Expr_Oexp_OSeq @ SV474 @ SV913 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1333 @ ( c_Expr_Oexp_Othrow @ SV1730 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2071 )
| ~ ( c_BigStep_Oeval @ SV29 @ SV474 @ SV1333 @ ( c_Expr_Oexp_Othrow @ SV1730 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2071 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3491]) ).
thf(3889,plain,
! [SV2072: $i,SV1731: $i,SV1334: $i,SV914: $i,SV475: $i,SV30: $i] :
( ( ! [SY9350: $i] :
( ( c_Expr_Oexp_OBlock @ SV30 @ SV475 @ SV914 @ SV1334 )
!= ( c_Expr_Oexp_OCond @ SV1731 @ SV2072 @ SY9350 @ SV1334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3492]) ).
thf(3890,plain,
! [SV2073: $i,SV1732: $i,SV1335: $i,SV915: $i,SV476: $i,SV31: $i] :
( ( ( c_Expr_Oexp_OCast @ SV31 @ SV476 @ SV915 )
!= ( c_Expr_Oexp_OBlock @ SV1335 @ SV1732 @ SV2073 @ SV915 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3493]) ).
thf(3891,plain,
! [SV1336: $i,SV916: $i,SV477: $i,SV32: $i] :
( ( ( c_Map_Omap__le @ SV32 @ ( c_Map_Omap__add @ SV32 @ SV477 @ SV916 @ SV1336 ) @ SV916 @ SV1336 )
= $false )
| ( ( ( c_Map_Omap__add @ SV32 @ SV477 @ SV916 @ SV1336 )
= ( c_Map_Omap__add @ SV477 @ SV32 @ SV916 @ SV1336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3494]) ).
thf(3892,plain,
! [SV1337: $i,SV917: $i,SV478: $i,SV33: $i] :
( ( ( ( c_Map_Omap__add @ SV33 @ SV478 @ SV917 @ SV1337 )
= ( c_Map_Omap__add @ SV478 @ SV33 @ SV917 @ SV1337 ) )
= $false )
| ( ( c_Map_Omap__le @ SV33 @ ( c_Map_Omap__add @ SV33 @ SV478 @ SV917 @ SV1337 ) @ SV917 @ SV1337 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3495]) ).
thf(3893,plain,
! [SV2074: $i,SV1733: $i,SV1338: $i,SV918: $i,SV479: $i,SV34: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV34 @ SV479 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1338 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1733 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2074 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV479 @ SV918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1338 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1733 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2074 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3496]) ).
thf(3894,plain,
! [SV2075: $i,SV1734: $i,SV1340: $i,SV920: $i,SV481: $i,SV36: $i] :
( ( ( c_Expr_Oexp_OCall @ SV36 @ SV481 @ SV920 @ SV1340 )
!= ( c_Expr_Oexp_OLAss @ SV1734 @ SV2075 @ SV1340 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3497]) ).
thf(3895,plain,
! [SV2076: $i,SV1735: $i,SV1341: $i,SV921: $i,SV482: $i,SV37: $i] :
( ( ! [SY9351: $i] :
( ( c_SmallStep_Oredp @ SV37 @ ( c_Expr_Oexp_OCall @ SV482 @ SV921 @ SV1341 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1735 @ ( c_Expr_Oexp_OCall @ SV2076 @ SV921 @ SV1341 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9351 )
| ~ ( c_SmallStep_Oredp @ SV37 @ SV482 @ SV1735 @ SV2076 @ SY9351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3498]) ).
thf(3896,plain,
! [SV2077: $i,SV1736: $i,SV1342: $i,SV922: $i,SV483: $i,SV38: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV38 @ SV483 @ SV922 @ SV1342 @ SV1736 )
!= ( c_Expr_Oexp_Othrow @ SV2077 @ SV1736 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3499]) ).
thf(3897,plain,
! [SV2078: $i,SV1737: $i,SV1343: $i,SV923: $i,SV484: $i,SV39: $i] :
( ( ! [SY9352: $i] :
( ( c_Expr_Oexp_OCast @ SV39 @ SV484 @ SV923 )
!= ( c_Expr_Oexp_OTryCatch @ SV1343 @ SV1737 @ SV2078 @ SY9352 @ SV923 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3500]) ).
thf(3898,plain,
! [SV2079: $i,SV1738: $i,SV1344: $i,SV924: $i,SV485: $i,SV40: $i] :
( ( ( c_SmallStep_Oredp @ SV40 @ ( c_Expr_Oexp_OLAss @ SV485 @ SV924 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1344 @ ( c_Expr_Oexp_OLAss @ SV485 @ SV1738 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2079 )
| ~ ( c_SmallStep_Oredp @ SV40 @ SV924 @ SV1344 @ SV1738 @ SV2079 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3501]) ).
thf(3899,plain,
! [SV2080: $i,SV1739: $i,SV1345: $i,SV925: $i,SV486: $i,SV41: $i] :
( ( ! [SY9353: $i,SY9354: $i] :
( ( c_Expr_Oexp_OFAss @ SV41 @ SV486 @ SV925 @ SV1345 @ SV1739 )
!= ( c_Expr_Oexp_OCall @ SV2080 @ SY9353 @ SY9354 @ SV1739 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3502]) ).
thf(3900,plain,
! [SV1740: $i,SV1346: $i,SV926: $i,SV487: $i,SV42: $i] :
( ( ( c_BigStep_Oeval @ SV42 @ ( c_Expr_Oexp_Othrow @ SV487 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV926 @ ( c_Expr_Oexp_Othrow @ SV1346 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1740 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV42 @ SV487 @ SV926 @ ( c_Expr_Oexp_Othrow @ SV1346 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1740 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3503]) ).
thf(3901,plain,
! [SV2081: $i,SV1741: $i,SV1347: $i,SV927: $i,SV488: $i,SV43: $i] :
( ( ( c_Expr_Oexp_OCast @ SV43 @ SV488 @ SV927 )
!= ( c_Expr_Oexp_OCond @ SV1347 @ SV1741 @ SV2081 @ SV927 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3504]) ).
thf(3902,plain,
! [SV1742: $i,SV1348: $i,SV928: $i,SV489: $i,SV44: $i] :
( ( ( ( c_Expr_Oexp_OLAss @ SV44 @ SV489 @ SV928 )
!= ( c_Expr_Oexp_OLAss @ SV1348 @ SV1742 @ SV928 ) )
= $true )
| ( ( SV489 = SV1742 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3505]) ).
thf(3903,plain,
! [SV2082: $i,SV1349: $i,SV929: $i,SV490: $i,SV45: $i] :
( ( ( ( c_Expr_Oexp_OLAss @ SV45 @ SV490 @ SV929 )
!= ( c_Expr_Oexp_OLAss @ SV1349 @ SV2082 @ SV929 ) )
= $true )
| ( ( SV45 = SV1349 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3506]) ).
thf(3904,plain,
! [SV2083: $i,SV1743: $i,SV1350: $i,SV930: $i,SV491: $i,SV46: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV46 @ SV491 @ SV930 )
!= ( c_Expr_Oexp_OCond @ SV1350 @ SV1743 @ SV2083 @ SV930 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3507]) ).
thf(3905,plain,
! [SV2084: $i,SV1744: $i,SV1351: $i,SV931: $i,SV492: $i,SV47: $i] :
( ( ! [SY9355: $i] :
( ( c_Expr_Oexp_OFAss @ SV47 @ SV492 @ SV931 @ SV1351 @ SV1744 )
!= ( c_Expr_Oexp_OCast @ SV2084 @ SY9355 @ SV1744 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3508]) ).
thf(3906,plain,
! [SV2085: $i,SV1745: $i,SV1352: $i,SV932: $i,SV493: $i,SV48: $i] :
( ( ! [SY9356: $i,SY9357: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV48 @ SV493 @ SV932 @ SV1352 @ SV1745 )
!= ( c_Expr_Oexp_OBlock @ SV2085 @ SY9356 @ SY9357 @ SV1745 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3509]) ).
thf(3907,plain,
! [SV1746: $i,SV1354: $i,SV934: $i,SV495: $i,SV50: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV50 @ SV495 @ SV934 @ SV1354 )
= ( c_Expr_Oexp_Othrow @ SV1746 @ SV1354 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3511]) ).
thf(3908,plain,
! [SV2086: $i,SV1747: $i,SV1355: $i,SV935: $i,SV496: $i,SV51: $i] :
( ( ! [SY9358: $i] :
( ( c_Expr_Oexp_OFAcc @ SV51 @ SV496 @ SV935 @ SV1355 )
!= ( c_Expr_Oexp_OCall @ SV1747 @ SV2086 @ SY9358 @ SV1355 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3512]) ).
thf(3909,plain,
! [SV2087: $i,SV1748: $i,SV1356: $i,SV936: $i,SV497: $i,SV52: $i] :
( ( ! [SY9359: $i,SY9360: $i] :
( ( c_BigStep_Oeval @ SV52 @ ( c_Expr_Oexp_OFAss @ SV497 @ SV936 @ SV1356 @ SV1748 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2087 @ ( c_Expr_Oexp_Othrow @ SY9359 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9360 )
| ~ ( c_BigStep_Oeval @ SV52 @ SV497 @ SV2087 @ ( c_Expr_Oexp_Othrow @ SY9359 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9360 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3513]) ).
thf(3910,plain,
! [SV2088: $i,SV1749: $i,SV1357: $i,SV937: $i,SV498: $i,SV53: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV53 @ SV498 @ SV937 @ SV1357 )
!= ( c_Expr_Oexp_OCast @ SV1749 @ SV2088 @ SV1357 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3514]) ).
thf(3911,plain,
! [SV2089: $i,SV1750: $i,SV1358: $i,SV938: $i,SV499: $i,SV54: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV54 @ SV499 @ SV938 )
!= ( c_Expr_Oexp_OBlock @ SV1358 @ SV1750 @ SV2089 @ SV938 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3515]) ).
thf(3912,plain,
! [SV2090: $i,SV1751: $i,SV1361: $i,SV941: $i,SV502: $i,SV57: $i] :
( ( ! [SY9361: $i] :
( ( c_Expr_Oexp_OBinOp @ SV57 @ SV502 @ SV941 @ SV1361 )
!= ( c_Expr_Oexp_OBlock @ SV1751 @ SV2090 @ SY9361 @ SV1361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3517]) ).
thf(3913,plain,
! [SV2091: $i,SV1752: $i,SV1362: $i,SV942: $i,SV503: $i,SV58: $i] :
( ( ( c_SmallStep_Oredp @ SV58 @ ( c_Expr_Oexp_OCast @ SV503 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1362 @ ( c_Expr_Oexp_OCast @ SV503 @ SV1752 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2091 )
| ~ ( c_SmallStep_Oredp @ SV58 @ SV942 @ SV1362 @ SV1752 @ SV2091 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3518]) ).
thf(3914,plain,
! [SV1753: $i,SV1363: $i,SV943: $i,SV504: $i,SV59: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ SV1363 @ SV1753 @ SV504 @ SV943 )
= $true )
| ( ( ! [SY8845: $i,SY8846: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ ( c_List_Olist_OCons @ SY8845 @ SV1363 @ SV504 ) @ ( c_List_Olist_OCons @ SY8846 @ SV1753 @ SV943 ) @ SV504 @ SV943 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3519]) ).
thf(3915,plain,
! [SV2092: $i,SV1755: $i,SV1365: $i,SV945: $i,SV506: $i,SV61: $i] :
( ( ! [SY9362: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV61 @ SV506 @ SV945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1365 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1755 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2092 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9362 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV61 @ SV1365 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1755 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2092 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9362 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3521]) ).
thf(3916,plain,
! [SV2093: $i,SV1756: $i,SV1366: $i,SV946: $i,SV507: $i,SV62: $i] :
( ( ! [SY9363: $i] :
( ( c_BigStep_Oeval @ SV62 @ ( c_Expr_Oexp_OFAcc @ SV507 @ SV946 @ SV1366 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1756 @ ( c_Expr_Oexp_Othrow @ SV2093 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9363 )
| ~ ( c_BigStep_Oeval @ SV62 @ SV507 @ SV1756 @ ( c_Expr_Oexp_Othrow @ SV2093 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3522]) ).
thf(3917,plain,
! [SV2094: $i,SV1757: $i,SV1367: $i,SV948: $i,SV509: $i,SV64: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV64 @ SV509 @ SV948 @ SV1367 )
!= ( c_Expr_Oexp_OLAss @ SV1757 @ SV2094 @ SV1367 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3523]) ).
thf(3918,plain,
! [SV1758: $i,SV1368: $i,SV949: $i,SV510: $i,SV65: $i] :
( ( ( c_Expr_Oexp_OVal @ SV65 @ SV510 )
= ( c_Expr_Oexp_OCall @ SV949 @ SV1368 @ SV1758 @ SV510 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3524]) ).
thf(3919,plain,
! [SV2095: $i,SV1759: $i,SV1369: $i,SV950: $i,SV511: $i,SV66: $i] :
( ( ! [SY9364: $i,SY9365: $i] :
( ( c_Expr_Oexp_OCall @ SV66 @ SV511 @ SV950 @ SV1369 )
!= ( c_Expr_Oexp_OTryCatch @ SV1759 @ SV2095 @ SY9364 @ SY9365 @ SV1369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3525]) ).
thf(3920,plain,
! [SV1760: $i,SV1370: $i,SV951: $i,SV512: $i,SV67: $i] :
( ( ( c_Expr_Oexp_OCast @ SV67 @ SV512 @ SV951 )
= ( c_Expr_Oexp_OSeq @ SV1370 @ SV1760 @ SV951 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3526]) ).
thf(3921,plain,
! [SV1761: $i,SV1371: $i,SV952: $i,SV513: $i,SV68: $i] :
( ( ( c_Expr_Oexp_OVal @ SV68 @ SV513 )
= ( c_Expr_Oexp_OBlock @ SV952 @ SV1371 @ SV1761 @ SV513 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3527]) ).
thf(3922,plain,
! [SV2096: $i,SV1762: $i,SV1374: $i,SV955: $i,SV516: $i,SV71: $i] :
( ( ! [SY9366: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV71 @ SV516 @ SV955 @ SV1374 )
!= ( c_Expr_Oexp_OBlock @ SV1762 @ SV2096 @ SY9366 @ SV1374 ) )
| ( SV955 = SY9366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3530]) ).
thf(3923,plain,
! [SV2097: $i,SV1763: $i,SV1375: $i,SV956: $i,SV517: $i,SV72: $i] :
( ( ! [SY9367: $i] :
( ( c_Expr_Oexp_OBlock @ SV72 @ SV517 @ SV956 @ SV1375 )
!= ( c_Expr_Oexp_OBlock @ SV1763 @ SV2097 @ SY9367 @ SV1375 ) )
| ( SV517 = SV2097 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3531]) ).
thf(3924,plain,
! [SV1764: $i,SV1376: $i,SV957: $i,SV518: $i,SV73: $i] :
( ( ( ! [SY8859: $i,SY8860: $i] :
( ( c_Expr_Oexp_OBlock @ SV73 @ SV518 @ SV957 @ SV1376 )
!= ( c_Expr_Oexp_OBlock @ SV1764 @ SY8859 @ SY8860 @ SV1376 ) ) )
= $true )
| ( ( SV73 = SV1764 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3532]) ).
thf(3925,plain,
! [SV1765: $i,SV1377: $i,SV958: $i,SV519: $i,SV74: $i] :
( ( ( c_Expr_Oexp_OCast @ SV74 @ SV519 @ SV958 )
= ( c_Expr_Oexp_OLAss @ SV1377 @ SV1765 @ SV958 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3533]) ).
thf(3926,plain,
! [SV2098: $i,SV1766: $i,SV1378: $i,SV959: $i,SV520: $i,SV75: $i] :
( ( ! [SY9368: $i,SY9369: $i] :
( ( c_Expr_Oexp_OBlock @ SV75 @ SV520 @ SV959 @ SV1378 )
!= ( c_Expr_Oexp_OTryCatch @ SV1766 @ SV2098 @ SY9368 @ SY9369 @ SV1378 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3534]) ).
thf(3927,plain,
! [SV76: $i,SV521: $i,SV2099: $i,SV1379: $i,SV960: $i] :
( ( ( ! [SY9370: $i] :
~ ( c_WellTypeRT_OWTrt @ SV960 @ SV1379 @ SV2099 @ ( c_Expr_Oexp_OCast @ SV521 @ SY9370 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV76 ) )
= $true )
| ( ( SV76
= ( c_Type_Oty_OClass @ SV521 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3535]) ).
thf(3928,plain,
! [SV2100: $i,SV1767: $i,SV1380: $i,SV961: $i,SV522: $i,SV77: $i] :
( ( ( c_Expr_Oexp_OCond @ SV77 @ SV522 @ SV961 @ SV1380 )
!= ( c_Expr_Oexp_OLAss @ SV1767 @ SV2100 @ SV1380 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3536]) ).
thf(3929,plain,
! [SV2101: $i,SV1768: $i,SV1381: $i,SV962: $i,SV523: $i,SV78: $i] :
( ( ! [SY9371: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV78 @ SV523 @ SV962 @ SV1381 @ SV1768 )
!= ( c_Expr_Oexp_OLAss @ SV2101 @ SY9371 @ SV1768 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3537]) ).
thf(3930,plain,
! [SV2102: $i,SV1769: $i,SV1382: $i,SV963: $i,SV524: $i,SV79: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV79 @ SV524 @ SV963 )
!= ( c_Expr_Oexp_OCall @ SV1382 @ SV1769 @ SV2102 @ SV963 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3538]) ).
thf(3931,plain,
! [SV2103: $i,SV1770: $i,SV1383: $i,SV964: $i,SV525: $i,SV80: $i] :
( ( c_SmallStep_Oredp @ SV80 @ ( c_Expr_Oexp_OBlock @ SV525 @ SV964 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV525 @ ( c_Expr_Oexp_OVal @ SV1383 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ SV1770 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2103 @ ( c_Expr_Oexp_OVal @ SV1770 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2103 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3539]) ).
thf(3932,plain,
! [SV2104: $i,SV526: $i,SV1384: $i,SV965: $i,SV81: $i] :
( ( ( ! [SY9372: $i] :
~ ( c_WellTypeRT_OWTrt @ SV81 @ SV965 @ SV1384 @ ( c_Expr_Oexp_OCast @ SV526 @ SV2104 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9372 ) )
= $true )
| ( ( c_Decl_Ois__class @ SV81 @ SV526 @ ( 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)],[3540]) ).
thf(3933,plain,
! [SV2105: $i,SV1771: $i,SV1385: $i,SV966: $i,SV527: $i,SV82: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV82 @ SV527 @ SV966 )
!= ( c_Expr_Oexp_OCall @ SV1385 @ SV1771 @ SV2105 @ SV966 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3541]) ).
thf(3934,plain,
! [SV2106: $i,SV1772: $i,SV1386: $i,SV967: $i,SV528: $i,SV83: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV83 @ SV528 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV83 @ ( c_Expr_Oexp_OVal @ SV967 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1386 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1772 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1386 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1772 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2106 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3542]) ).
thf(3935,plain,
! [SV2107: $i,SV1773: $i,SV1387: $i,SV968: $i,SV529: $i,SV84: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV84 @ SV529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9373: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV529 @ SY9373 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV84 @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9373 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3543]) ).
thf(3936,plain,
! [SV1774: $i,SV1388: $i,SV969: $i,SV530: $i,SV85: $i] :
( ( ( c_Expr_Oexp_OCond @ SV85 @ SV530 @ SV969 @ SV1388 )
= ( c_Expr_Oexp_Othrow @ SV1774 @ SV1388 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3544]) ).
thf(3937,plain,
! [SV2108: $i,SV1775: $i,SV1389: $i,SV970: $i,SV531: $i,SV86: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV86 @ SV531 @ SV970 )
!= ( c_Expr_Oexp_OBlock @ SV1389 @ SV1775 @ SV2108 @ SV970 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3545]) ).
thf(3938,plain,
! [SV2109: $i,SV1776: $i,SV1390: $i,SV971: $i,SV532: $i,SV87: $i] :
( ( ( c_Expr_Oexp_OCast @ SV87 @ SV532 @ SV971 )
!= ( c_Expr_Oexp_OBinOp @ SV1390 @ SV1776 @ SV2109 @ SV971 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3546]) ).
thf(3939,plain,
! [SV2110: $i,SV1777: $i,SV533: $i,SV972: $i,SV88: $i] :
( ( ( ~ ( c_WellType_OWT @ SV88 @ SV972 @ ( c_Expr_Oexp_OCast @ SV533 @ SV1777 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2110 ) )
= $true )
| ( ( c_Decl_Ois__class @ SV88 @ SV533 @ ( 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)],[3547]) ).
thf(3940,plain,
! [SV2111: $i,SV1778: $i,SV1391: $i,SV973: $i,SV534: $i,SV89: $i] :
( ( ! [SY9374: $i] :
( ( c_Expr_Oexp_OBlock @ SV89 @ SV534 @ SV973 @ SV1391 )
!= ( c_Expr_Oexp_OBinOp @ SV1778 @ SV2111 @ SY9374 @ SV1391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3548]) ).
thf(3941,plain,
! [SV1779: $i,SV1392: $i,SV974: $i,SV535: $i,SV90: $i] :
( ( ( c_BigStep_Oeval @ SV90 @ ( c_Expr_Oexp_OWhile @ SV535 @ SV974 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1392 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1779 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV90 @ SV535 @ SV1392 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1779 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3549]) ).
thf(3942,plain,
! [SV92: $i,SV2112: $i,SV537: $i,SV1780: $i,SV976: $i] :
( ( ( ~ ( c_WellType_OWT @ SV976 @ SV1780 @ ( c_Expr_Oexp_OCast @ SV537 @ SV2112 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV92 ) )
= $true )
| ( ( SV92
= ( c_Type_Oty_OClass @ SV537 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3551]) ).
thf(3943,plain,
! [SV2113: $i,SV1781: $i,SV1394: $i,SV978: $i,SV539: $i,SV94: $i] :
( ( ! [SY9375: $i] :
( ( c_BigStep_Oeval @ SV94 @ ( c_Expr_Oexp_OCall @ SV539 @ SV978 @ SV1394 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1781 @ ( c_Expr_Oexp_Othrow @ SV2113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9375 )
| ~ ( c_BigStep_Oeval @ SV94 @ SV539 @ SV1781 @ ( c_Expr_Oexp_Othrow @ SV2113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3552]) ).
thf(3944,plain,
! [SV2114: $i,SV1782: $i,SV1396: $i,SV980: $i,SV541: $i,SV96: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV96 @ SV541 @ SV980 @ SV1396 )
!= ( c_Expr_Oexp_OCast @ SV1782 @ SV2114 @ SV1396 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3554]) ).
thf(3945,plain,
! [SV542: $i,SV1397: $i,SV981: $i,SV97: $i,SV2115: $i] :
( ( ( ~ ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV2115 @ SV97 @ SV981 @ SV1397 ) @ SV542 @ SV981 @ SV1397 ) )
= $true )
| ( ( c_Map_Omap__le @ SV97 @ SV542 @ SV981 @ SV1397 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3555]) ).
thf(3946,plain,
! [SV1783: $i,SV1398: $i,SV982: $i,SV543: $i,SV98: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV98 @ SV543 @ SV982 )
= ( c_Expr_Oexp_OSeq @ SV1398 @ SV1783 @ SV982 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3556]) ).
thf(3947,plain,
! [SV2116: $i,SV1785: $i,SV1400: $i,SV984: $i,SV545: $i,SV100: $i] :
( ( ! [SY9376: $i] :
( ( c_Expr_Oexp_OBinOp @ SV100 @ SV545 @ SV984 @ SV1400 )
!= ( c_Expr_Oexp_OCall @ SV1785 @ SV2116 @ SY9376 @ SV1400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3558]) ).
thf(3948,plain,
! [SV2117: $i,SV1786: $i,SV1401: $i,SV985: $i,SV546: $i,SV101: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV101 @ SV546 @ SV985 )
!= ( c_Expr_Oexp_OBinOp @ SV1401 @ SV1786 @ SV2117 @ SV985 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3559]) ).
thf(3949,plain,
! [SV2118: $i,SV1787: $i,SV1402: $i,SV986: $i,SV547: $i,SV102: $i] :
( ( ! [SY9377: $i] :
( ( c_Expr_Oexp_OCall @ SV102 @ SV547 @ SV986 @ SV1402 )
!= ( c_Expr_Oexp_OCond @ SV1787 @ SV2118 @ SY9377 @ SV1402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3560]) ).
thf(3950,plain,
! [SV2119: $i,SV1788: $i,SV1404: $i,SV988: $i,SV549: $i,SV104: $i] :
( ( ! [SY9378: $i] :
( ( c_Expr_Oexp_OCall @ SV104 @ SV549 @ SV988 @ SV1404 )
!= ( c_Expr_Oexp_OBlock @ SV1788 @ SV2119 @ SY9378 @ SV1404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3561]) ).
thf(3951,plain,
! [SV2120: $i,SV1790: $i,SV1406: $i,SV990: $i,SV551: $i,SV106: $i] :
( ( ! [SY9379: $i] :
( ( c_BigStep_Oeval @ SV106 @ ( c_Expr_Oexp_OCond @ SV551 @ SV990 @ SV1406 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1790 @ SV2120 @ SY9379 )
| ! [SY9380: $i] :
( ~ ( c_BigStep_Oeval @ SV106 @ SV1406 @ SY9380 @ SV2120 @ SY9379 )
| ~ ( c_BigStep_Oeval @ SV106 @ SV551 @ SV1790 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9380 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3563]) ).
thf(3952,plain,
! [SV2121: $i,SV1791: $i,SV1407: $i,SV991: $i,SV552: $i,SV107: $i] :
( ( ( c_Expr_Oexp_OCall @ SV107 @ SV552 @ SV991 @ SV1407 )
!= ( c_Expr_Oexp_OSeq @ SV1791 @ SV2121 @ SV1407 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3564]) ).
thf(3953,plain,
! [SV2122: $i,SV1792: $i,SV1408: $i,SV993: $i,SV554: $i,SV109: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV109 @ SV554 @ SV993 @ SV1408 )
!= ( c_Expr_Oexp_OLAss @ SV1792 @ SV2122 @ SV1408 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3566]) ).
thf(3954,plain,
! [SV2123: $i,SV1793: $i,SV1409: $i,SV994: $i,SV555: $i,SV110: $i] :
( ( ! [SY9381: $i] :
( ( c_Expr_Oexp_OLAss @ SV110 @ SV555 @ SV994 )
!= ( c_Expr_Oexp_OFAss @ SV1409 @ SV1793 @ SV2123 @ SY9381 @ SV994 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3567]) ).
thf(3955,plain,
! [SV2124: $i,SV1794: $i,SV1410: $i,SV995: $i,SV556: $i,SV111: $i] :
( ( ( c_BigStep_Oeval @ SV111 @ ( c_Expr_Oexp_OLAss @ SV556 @ SV995 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1410 @ ( c_Expr_Oexp_Othrow @ SV1794 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2124 )
| ~ ( c_BigStep_Oeval @ SV111 @ SV995 @ SV1410 @ ( c_Expr_Oexp_Othrow @ SV1794 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2124 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3568]) ).
thf(3956,plain,
! [SV1795: $i,SV1411: $i,SV996: $i,SV557: $i,SV112: $i] :
( ( ( c_Expr_Oexp_OCall @ SV112 @ SV557 @ SV996 @ SV1411 )
= ( c_Expr_Oexp_Othrow @ SV1795 @ SV1411 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3569]) ).
thf(3957,plain,
! [SV2125: $i,SV1796: $i,SV1412: $i,SV997: $i,SV558: $i,SV113: $i] :
( ( ! [SY9382: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV113 @ SV558 @ SV997 @ SV1412 @ SV1796 )
!= ( c_Expr_Oexp_OCast @ SV2125 @ SY9382 @ SV1796 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3570]) ).
thf(3958,plain,
! [SV2126: $i,SV1797: $i,SV1413: $i,SV998: $i,SV559: $i,SV114: $i] :
( ( ! [SY9383: $i] :
( ( c_Expr_Oexp_OCast @ SV114 @ SV559 @ SV998 )
!= ( c_Expr_Oexp_OFAss @ SV1413 @ SV1797 @ SV2126 @ SY9383 @ SV998 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3571]) ).
thf(3959,plain,
! [SV2127: $i,SV1798: $i,SV1414: $i,SV999: $i,SV560: $i,SV115: $i] :
( ( ( c_Expr_Oexp_OCond @ SV115 @ SV560 @ SV999 @ SV1414 )
!= ( c_Expr_Oexp_OCast @ SV1798 @ SV2127 @ SV1414 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3572]) ).
thf(3960,plain,
! [SV1799: $i,SV1415: $i,SV1000: $i,SV561: $i,SV116: $i] :
( ( ( c_Expr_Oexp_OCast @ SV116 @ SV561 @ SV1000 )
= ( c_Expr_Oexp_OWhile @ SV1415 @ SV1799 @ SV1000 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3573]) ).
thf(3961,plain,
! [SV1800: $i,SV1416: $i,SV1001: $i,SV562: $i,SV117: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV117 @ SV562 @ SV1001 )
= ( c_Expr_Oexp_OCast @ SV1416 @ SV1800 @ SV1001 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3574]) ).
thf(3962,plain,
! [SV2128: $i,SV1801: $i,SV1417: $i,SV1002: $i,SV563: $i,SV118: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV118 @ SV563 @ SV1002 @ SV1417 )
!= ( c_Expr_Oexp_OWhile @ SV1801 @ SV2128 @ SV1417 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3575]) ).
thf(3963,plain,
! [SV2129: $i,SV1802: $i,SV1418: $i,SV1003: $i,SV564: $i,SV119: $i] :
( ( ! [SY9384: $i,SY9385: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV119 @ SV564 @ SV1003 @ SV1418 @ SV1802 )
!= ( c_Expr_Oexp_OCall @ SV2129 @ SY9384 @ SY9385 @ SV1802 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3576]) ).
thf(3964,plain,
! [SV2130: $i,SV1803: $i,SV1419: $i,SV1004: $i,SV565: $i,SV120: $i] :
( ( ! [SY9386: $i] :
( ( c_Expr_Oexp_OCond @ SV120 @ SV565 @ SV1004 @ SV1419 )
!= ( c_Expr_Oexp_OCall @ SV1803 @ SV2130 @ SY9386 @ SV1419 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3577]) ).
thf(3965,plain,
! [SV2131: $i,SV1804: $i,SV1421: $i,SV1006: $i,SV567: $i,SV122: $i] :
( ( ! [SY9387: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV122 @ SV567 @ SV1006 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9387 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9388: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1006 @ SY9388 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9387 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV122 @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9388 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9387 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3579]) ).
thf(3966,plain,
! [SV2132: $i,SV1805: $i,SV1422: $i,SV1007: $i,SV568: $i,SV123: $i] :
( ( ! [SY9389: $i] :
( ( c_Expr_Oexp_OFAss @ SV123 @ SV568 @ SV1007 @ SV1422 @ SV1805 )
!= ( c_Expr_Oexp_OLAss @ SV2132 @ SY9389 @ SV1805 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3580]) ).
thf(3967,plain,
! [SV2133: $i,SV1806: $i,SV1423: $i,SV1008: $i,SV569: $i,SV124: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV124 @ SV569 @ SV1008 )
!= ( c_Expr_Oexp_OCall @ SV1423 @ SV1806 @ SV2133 @ SV1008 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3581]) ).
thf(3968,plain,
! [SV2134: $i,SV1807: $i,SV1424: $i,SV1009: $i,SV570: $i,SV125: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV125 @ SV570 @ SV1009 )
!= ( c_Expr_Oexp_OFAcc @ SV1424 @ SV1807 @ SV2134 @ SV1009 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3582]) ).
thf(3969,plain,
! [SV2135: $i,SV1808: $i,SV1425: $i,SV1010: $i,SV571: $i,SV126: $i] :
( ( ! [SY9390: $i] :
( ( c_Expr_Oexp_OCall @ SV126 @ SV571 @ SV1010 @ SV1425 )
!= ( c_Expr_Oexp_OBinOp @ SV1808 @ SV2135 @ SY9390 @ SV1425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3583]) ).
thf(3970,plain,
! [SV2136: $i,SV1809: $i,SV1426: $i,SV1011: $i,SV572: $i,SV127: $i] :
( ( ! [SY9391: $i] :
( ( c_BigStep_Oeval @ SV127 @ ( c_Expr_Oexp_OCond @ SV572 @ SV1011 @ SV1426 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1809 @ ( c_Expr_Oexp_Othrow @ SV2136 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9391 )
| ~ ( c_BigStep_Oeval @ SV127 @ SV572 @ SV1809 @ ( c_Expr_Oexp_Othrow @ SV2136 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3584]) ).
thf(3971,plain,
! [SV2137: $i,SV1810: $i,SV1428: $i,SV1013: $i,SV574: $i,SV129: $i] :
( ( ( c_Expr_Oexp_OCast @ SV129 @ SV574 @ SV1013 )
!= ( c_Expr_Oexp_OCall @ SV1428 @ SV1810 @ SV2137 @ SV1013 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3585]) ).
thf(3972,plain,
! [SV2138: $i,SV1811: $i,SV1429: $i,SV1014: $i,SV575: $i,SV130: $i] :
( ( ( c_Expr_Oexp_OCast @ SV130 @ SV575 @ SV1014 )
!= ( c_Expr_Oexp_OFAcc @ SV1429 @ SV1811 @ SV2138 @ SV1014 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3586]) ).
thf(3973,plain,
! [SV2139: $i,SV1812: $i,SV1430: $i,SV1015: $i,SV576: $i,SV131: $i] :
( ( ( c_BigStep_Oeval @ SV131 @ ( c_Expr_Oexp_OWhile @ SV576 @ SV1015 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1430 @ ( c_Expr_Oexp_Othrow @ SV1812 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2139 )
| ~ ( c_BigStep_Oeval @ SV131 @ SV576 @ SV1430 @ ( c_Expr_Oexp_Othrow @ SV1812 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2139 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3587]) ).
thf(3974,plain,
! [SV2140: $i,SV1813: $i,SV1431: $i,SV1016: $i,SV577: $i,SV132: $i] :
( ( ! [SY9392: $i,SY9393: $i] :
( ( c_Expr_Oexp_OBlock @ SV132 @ SV577 @ SV1016 @ SV1431 )
!= ( c_Expr_Oexp_OFAss @ SV1813 @ SV2140 @ SY9392 @ SY9393 @ SV1431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3588]) ).
thf(3975,plain,
! [SV2141: $i,SV1814: $i,SV1432: $i,SV1017: $i,SV578: $i,SV133: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV133 @ SV578 )
!= ( c_Expr_Oexp_OTryCatch @ SV1017 @ SV1432 @ SV1814 @ SV2141 @ SV578 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3589]) ).
thf(3976,plain,
! [SV2142: $i,SV1815: $i,SV1433: $i,SV1018: $i,SV579: $i,SV134: $i] :
( ( ( c_BigStep_Oeval @ SV134 @ ( c_Expr_Oexp_OCast @ SV579 @ SV1018 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1433 @ ( c_Expr_Oexp_Othrow @ SV1815 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2142 )
| ~ ( c_BigStep_Oeval @ SV134 @ SV1018 @ SV1433 @ ( c_Expr_Oexp_Othrow @ SV1815 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2142 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3590]) ).
thf(3977,plain,
! [SV1816: $i,SV1434: $i,SV1019: $i,SV580: $i,SV135: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV135 @ SV580 @ SV1019 @ SV1434 )
= ( c_Expr_Oexp_OVal @ SV1816 @ SV1434 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3591]) ).
thf(3978,plain,
! [SV1818: $i,SV1436: $i,SV1021: $i,SV582: $i,SV137: $i] :
( ( ( ! [SY8927: $i,SY8928: $i] :
( ( c_Expr_Oexp_OCall @ SV137 @ SV582 @ SV1021 @ SV1436 )
!= ( c_Expr_Oexp_OCall @ SV1818 @ SY8927 @ SY8928 @ SV1436 ) ) )
= $true )
| ( ( SV137 = SV1818 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3593]) ).
thf(3979,plain,
! [SV2143: $i,SV1819: $i,SV1437: $i,SV1022: $i,SV583: $i,SV138: $i] :
( ( ! [SY9394: $i] :
( ( c_Expr_Oexp_OCall @ SV138 @ SV583 @ SV1022 @ SV1437 )
!= ( c_Expr_Oexp_OCall @ SV1819 @ SV2143 @ SY9394 @ SV1437 ) )
| ( SV583 = SV2143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3594]) ).
thf(3980,plain,
! [SV2144: $i,SV1820: $i,SV1438: $i,SV1023: $i,SV584: $i,SV139: $i] :
( ( ! [SY9395: $i] :
( ( ( c_Expr_Oexp_OCall @ SV139 @ SV584 @ SV1023 @ SV1438 )
!= ( c_Expr_Oexp_OCall @ SV1820 @ SV2144 @ SY9395 @ SV1438 ) )
| ( SV1023 = SY9395 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3595]) ).
thf(3981,plain,
! [SV2145: $i,SV1821: $i,SV1439: $i,SV1024: $i,SV585: $i,SV140: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV140 @ SV585 @ SV1024 @ SV1439 )
!= ( c_Expr_Oexp_OCast @ SV1821 @ SV2145 @ SV1439 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3596]) ).
thf(3982,plain,
! [SV1822: $i,SV1441: $i,SV1026: $i,SV587: $i,SV142: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV142 @ SV587 @ SV1026 )
= ( c_Expr_Oexp_OWhile @ SV1441 @ SV1822 @ SV1026 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3597]) ).
thf(3983,plain,
! [SV2146: $i,SV1823: $i,SV1442: $i,SV1027: $i,SV588: $i,SV143: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV143 @ SV588 )
!= ( c_Expr_Oexp_OFAss @ SV1027 @ SV1442 @ SV1823 @ SV2146 @ SV588 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3598]) ).
thf(3984,plain,
! [SV2147: $i,SV1824: $i,SV1443: $i,SV1028: $i,SV589: $i,SV144: $i] :
( ( ! [SY9396: $i] :
( ( c_Expr_Oexp_OBlock @ SV144 @ SV589 @ SV1028 @ SV1443 )
!= ( c_Expr_Oexp_OCall @ SV1824 @ SV2147 @ SY9396 @ SV1443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3599]) ).
thf(3985,plain,
! [SV2148: $i,SV1825: $i,SV1444: $i,SV1029: $i,SV590: $i,SV145: $i] :
( ( ! [SY9397: $i] :
( ( c_Expr_Oexp_OBlock @ SV145 @ SV590 @ SV1029 @ SV1444 )
!= ( c_Expr_Oexp_OFAcc @ SV1825 @ SV2148 @ SY9397 @ SV1444 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3600]) ).
thf(3986,plain,
! [SV1826: $i,SV1445: $i,SV1030: $i,SV591: $i,SV146: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV146 @ SV591 )
= ( c_Expr_Oexp_OBlock @ SV1030 @ SV1445 @ SV1826 @ SV591 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3601]) ).
thf(3987,plain,
! [SV1828: $i,SV1448: $i,SV1033: $i,SV594: $i,SV149: $i] :
( ( ( c_Conform_Olconf @ SV149 @ SV594 @ SV1033 @ SV1448 @ SV1828 )
= $true )
| ( ( ! [SY8939: $i] :
( ~ ( c_Objects_Ohext @ SY8939 @ SV594 )
| ~ ( c_Conform_Olconf @ SV149 @ SY8939 @ SV1033 @ SV1448 @ SV1828 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3604]) ).
thf(3988,plain,
! [SV1829: $i,SV1449: $i,SV1034: $i,SV595: $i,SV150: $i] :
( ( ( c_SmallStep_Oredp @ SV150 @ ( c_Expr_Oexp_Othrow @ SV595 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1034 @ ( c_Expr_Oexp_Othrow @ SV1449 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1829 )
= $true )
| ( ( ~ ( c_SmallStep_Oredp @ SV150 @ SV595 @ SV1034 @ SV1449 @ SV1829 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3605]) ).
thf(3989,plain,
! [SV1830: $i,SV1451: $i,SV1036: $i,SV597: $i,SV152: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV152 @ SV597 )
= ( c_Expr_Oexp_OCall @ SV1036 @ SV1451 @ SV1830 @ SV597 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3607]) ).
thf(3990,plain,
! [SV1831: $i,SV1452: $i,SV1037: $i,SV598: $i,SV153: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV153 @ SV598 )
= ( c_Expr_Oexp_OFAcc @ SV1037 @ SV1452 @ SV1831 @ SV598 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3608]) ).
thf(3991,plain,
! [SV2149: $i,SV1832: $i,SV1453: $i,SV1038: $i,SV599: $i,SV154: $i] :
( ( ! [SY9398: $i,SY9399: $i] :
( ( c_Expr_Oexp_OFAss @ SV154 @ SV599 @ SV1038 @ SV1453 @ SV1832 )
!= ( c_Expr_Oexp_OBlock @ SV2149 @ SY9398 @ SY9399 @ SV1832 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3609]) ).
thf(3992,plain,
! [SV2150: $i,SV1833: $i,SV1454: $i,SV1039: $i,SV600: $i,SV155: $i] :
( ( ( c_Expr_Oexp_OCall @ SV155 @ SV600 @ SV1039 @ SV1454 )
!= ( c_Expr_Oexp_OWhile @ SV1833 @ SV2150 @ SV1454 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3610]) ).
thf(3993,plain,
! [SV1834: $i,SV1455: $i,SV1040: $i,SV601: $i,SV156: $i] :
( ( ( c_Expr_Oexp_OCall @ SV156 @ SV601 @ SV1040 @ SV1455 )
= ( c_Expr_Oexp_OVal @ SV1834 @ SV1455 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3611]) ).
thf(3994,plain,
! [SV2151: $i,SV1835: $i,SV1456: $i,SV1041: $i,SV602: $i,SV157: $i] :
( ( ! [SY9400: $i] :
( ( c_BigStep_Oeval @ SV157 @ ( c_Expr_Oexp_OBinOp @ SV602 @ SV1041 @ SV1456 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1835 @ ( c_Expr_Oexp_Othrow @ SV2151 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9400 )
| ~ ( c_BigStep_Oeval @ SV157 @ SV602 @ SV1835 @ ( c_Expr_Oexp_Othrow @ SV2151 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3612]) ).
thf(3995,plain,
! [SV1836: $i,SV1457: $i,SV1042: $i,SV603: $i,SV158: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV158 @ SV603 )
= ( c_Expr_Oexp_OBinOp @ SV1042 @ SV1457 @ SV1836 @ SV603 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3613]) ).
thf(3996,plain,
! [SV2152: $i,SV1458: $i,SV1043: $i,SV604: $i,SV159: $i] :
( ( ( ( c_Expr_Oexp_OCast @ SV159 @ SV604 @ SV1043 )
!= ( c_Expr_Oexp_OCast @ SV1458 @ SV2152 @ SV1043 ) )
= $true )
| ( ( SV159 = SV1458 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3614]) ).
thf(3997,plain,
! [SV1837: $i,SV1459: $i,SV1044: $i,SV605: $i,SV160: $i] :
( ( ( ( c_Expr_Oexp_OCast @ SV160 @ SV605 @ SV1044 )
!= ( c_Expr_Oexp_OCast @ SV1459 @ SV1837 @ SV1044 ) )
= $true )
| ( ( SV605 = SV1837 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3615]) ).
thf(3998,plain,
! [SV2153: $i,SV1838: $i,SV1460: $i,SV1045: $i,SV606: $i,SV161: $i] :
( ( ! [SY9401: $i,SY9402: $i] :
( ( c_Expr_Oexp_OCall @ SV161 @ SV606 @ SV1045 @ SV1460 )
!= ( c_Expr_Oexp_OFAss @ SV1838 @ SV2153 @ SY9401 @ SY9402 @ SV1460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3616]) ).
thf(3999,plain,
! [SV2154: $i,SV1839: $i,SV1461: $i,SV1046: $i,SV607: $i,SV162: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV162 @ SV607 @ SV1046 @ SV1461 @ SV1839 )
!= ( c_Expr_Oexp_Othrow @ SV2154 @ SV1839 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3617]) ).
thf(4000,plain,
! [SV2155: $i,SV1841: $i,SV1463: $i,SV1048: $i,SV609: $i,SV164: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV164 @ SV609 @ SV1048 @ SV1463 )
!= ( c_Expr_Oexp_OLAss @ SV1841 @ SV2155 @ SV1463 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3619]) ).
thf(4001,plain,
! [SV2156: $i,SV1842: $i,SV1464: $i,SV1049: $i,SV610: $i,SV165: $i] :
( ( ! [SY9403: $i] :
( ( c_Expr_Oexp_OFAcc @ SV165 @ SV610 @ SV1049 @ SV1464 )
!= ( c_Expr_Oexp_OBlock @ SV1842 @ SV2156 @ SY9403 @ SV1464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3620]) ).
thf(4002,plain,
! [SV2157: $i,SV1843: $i,SV1465: $i,SV1050: $i,SV611: $i,SV166: $i] :
( ( ( c_Expr_Oexp_OCall @ SV166 @ SV611 @ SV1050 @ SV1465 )
!= ( c_Expr_Oexp_OCast @ SV1843 @ SV2157 @ SV1465 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3621]) ).
thf(4003,plain,
! [SV2158: $i,SV1844: $i,SV1466: $i,SV1052: $i,SV613: $i,SV168: $i] :
( ( ! [SY9404: $i] :
( ( c_Expr_Oexp_OLAss @ SV168 @ SV613 @ SV1052 )
!= ( c_Expr_Oexp_OTryCatch @ SV1466 @ SV1844 @ SV2158 @ SY9404 @ SV1052 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3622]) ).
thf(4004,plain,
! [SV2159: $i,SV1845: $i,SV1467: $i,SV1053: $i,SV614: $i,SV169: $i] :
( ( ! [SY9405: $i] :
( ( c_Expr_Oexp_OCall @ SV169 @ SV614 @ SV1053 @ SV1467 )
!= ( c_Expr_Oexp_OFAcc @ SV1845 @ SV2159 @ SY9405 @ SV1467 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3623]) ).
thf(4005,plain,
! [SV1846: $i,SV1468: $i,SV1054: $i,SV615: $i,SV170: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV170 @ SV615 @ SV1054 @ SV1468 )
= ( c_Expr_Oexp_Othrow @ SV1846 @ SV1468 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3624]) ).
thf(4006,plain,
! [SV2160: $i,SV1847: $i,SV1469: $i,SV1055: $i,SV616: $i,SV171: $i] :
( ( c_SmallStep_Oredp @ SV171 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ SV616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1055 @ SV1469 @ SV1847 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2160 @ ( c_Expr_Oexp_Othrow @ SV616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2160 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3625]) ).
thf(4007,plain,
! [SV1848: $i,SV1471: $i,SV1057: $i,SV618: $i,SV173: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV173 @ SV618 @ SV1057 )
= ( c_Expr_Oexp_OCast @ SV1471 @ SV1848 @ SV1057 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3626]) ).
thf(4008,plain,
! [SV1849: $i,SV1472: $i,SV1058: $i,SV619: $i,SV174: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV174 @ SV619 @ SV1058 )
= ( c_Expr_Oexp_OCast @ SV1472 @ SV1849 @ SV1058 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3627]) ).
thf(4009,plain,
! [SV1850: $i,SV1474: $i,SV1060: $i,SV621: $i,SV176: $i] :
( ( ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1850 @ SV1060 @ SV1474 )
= $true )
| ( ( ~ ( c_Map_Omap__le @ SV176 @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1060 @ SV1474 )
| ~ ( c_Map_Omap__le @ SV621 @ SV1850 @ SV1060 @ SV1474 )
| ~ ( c_Map_Omap__le @ SV176 @ SV1850 @ SV1060 @ SV1474 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3628]) ).
thf(4010,plain,
! [SV1851: $i,SV1475: $i,SV1061: $i,SV622: $i,SV177: $i] :
( ( ( c_BigStep_Oeval @ SV177 @ ( c_Expr_Oexp_OCast @ SV622 @ SV1061 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1475 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1851 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV177 @ SV1061 @ SV1475 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1851 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3629]) ).
thf(4011,plain,
! [SV2161: $i,SV1852: $i,SV1476: $i,SV1062: $i,SV623: $i,SV178: $i] :
( ( ! [SY9406: $i] :
( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SV623 @ SV1062 @ SV1476 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1852 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9406 )
| ! [SY9407: $i] :
( ~ ( c_BigStep_Oeval @ SV178 @ SV1476 @ SY9407 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9406 )
| ! [SY8962: $i] :
~ ( c_BigStep_Oeval @ SV178 @ SV623 @ SV1852 @ ( c_Expr_Oexp_OVal @ SY8962 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9407 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3630]) ).
thf(4012,plain,
! [SV2162: $i,SV1853: $i,SV1478: $i,SV1064: $i,SV625: $i,SV180: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBlock @ SV180 @ SV625 @ ( c_Expr_Oexp_OSeq @ ( c_Expr_Oexp_OLAss @ SV180 @ ( c_Expr_Oexp_OVal @ SV1064 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ SV1478 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1853 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV1478 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1853 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2162 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3631]) ).
thf(4013,plain,
! [SV2163: $i,SV1854: $i,SV1479: $i,SV1065: $i,SV626: $i,SV181: $i] :
( ( ! [SY9409: $i,SY9410: $i] :
( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SV1065 @ SV1479 @ SV1854 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2163 @ ( c_Expr_Oexp_Othrow @ SY9409 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9410 )
| ! [SY9411: $i] :
( ~ ( c_BigStep_Oeval @ SV181 @ SV1854 @ SY9411 @ ( c_Expr_Oexp_Othrow @ SY9409 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9410 )
| ! [SY9412: $i] :
~ ( c_BigStep_Oeval @ SV181 @ SV626 @ SV2163 @ ( c_Expr_Oexp_OVal @ SY9412 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9411 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3632]) ).
thf(4014,plain,
! [SV2164: $i,SV1856: $i,SV1481: $i,SV1068: $i,SV629: $i,SV184: $i] :
( ( c_SmallStep_Oredp @ SV184 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV629 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1068 @ SV1481 @ ( c_Expr_Oexp_Othrow @ SV1856 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2164 @ ( c_Expr_Oexp_Othrow @ SV1856 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2164 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3634]) ).
thf(4015,plain,
! [SV2165: $i,SV1857: $i,SV1482: $i,SV1069: $i,SV630: $i,SV185: $i] :
( ( ! [SY9413: $i,SY9414: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SV1482 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SV2165 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9413 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9414 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1482 @ SV1857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2165 @ SY9413 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9414 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3635]) ).
thf(4016,plain,
! [SV2166: $i,SV1858: $i,SV1483: $i,SV1070: $i,SV631: $i,SV186: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV186 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV631 @ SV1070 @ ( c_Expr_Oexp_Othrow @ SV1483 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1858 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1483 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1858 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2166 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3636]) ).
thf(4017,plain,
! [SV2167: $i,SV1859: $i,SV1484: $i,SV1071: $i,SV632: $i,SV187: $i] :
( ( ! [SY9415: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SV1071 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SV1859 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2167 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9415 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1071 @ SV1484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1859 @ SV2167 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9415 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3637]) ).
thf(4018,plain,
! [SV2168: $i,SV1861: $i,SV1486: $i,SV1073: $i,SV634: $i,SV189: $i] :
( ( ! [SY9416: $i] :
( ( c_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Olconf @ SV189 @ SV1861 @ SV2168 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY8978: $i] :
~ ( c_WellTypeRT_OWTrt @ SV189 @ SV1861 @ SV1486 @ SY9416 @ SY8978 )
| ! [SY9418: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SY9416 @ ( c_Pair @ SV1861 @ SV2168 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9418 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3639]) ).
thf(4019,plain,
! [SV2169: $i,SV1862: $i,SV1487: $i,SV1074: $i,SV635: $i,SV190: $i] :
( ( ! [SY9419: $i] :
( ( c_Conform_Ohconf @ SV190 @ SV635 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV190 @ SV1074 @ SV1487 @ SV1862 @ SV2169 )
| ! [SY8982: $i,SY8983: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1862 @ ( c_Pair @ SV1074 @ SY9419 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY8982 @ ( c_Pair @ SV635 @ SY8983 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3640]) ).
thf(4020,plain,
! [SV2170: $i,SV1863: $i,SV1489: $i,SV1077: $i,SV638: $i,SV193: $i] :
( ( ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OCond @ SV638 @ ( c_Expr_Oexp_OSeq @ SV1077 @ ( c_Expr_Oexp_OWhile @ SV638 @ SV1077 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1489 @ SV1863 @ SV2170 )
| ~ ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OWhile @ SV638 @ SV1077 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1489 @ SV1863 @ SV2170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3641]) ).
thf(4021,plain,
! [SV2171: $i,SV1864: $i,SV1490: $i,SV1078: $i,SV639: $i,SV194: $i] :
( ( ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OWhile @ SV639 @ SV1078 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1490 @ SV1864 @ SV2171 )
| ~ ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OCond @ SV639 @ ( c_Expr_Oexp_OSeq @ SV1078 @ ( c_Expr_Oexp_OWhile @ SV639 @ SV1078 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1490 @ SV1864 @ SV2171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3642]) ).
thf(4022,plain,
! [SV2172: $i,SV1865: $i,SV1491: $i,SV1079: $i,SV640: $i,SV195: $i] :
( ( ! [SY9422: $i,SY9423: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV195 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV2172 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9422 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9423 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV195 @ SV1865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2172 @ SY9422 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9423 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3643]) ).
thf(4023,plain,
! [SV2173: $i,SV1867: $i,SV1493: $i,SV1081: $i,SV642: $i,SV197: $i] :
( ( ! [SY9424: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV197 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1493 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV1867 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2173 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9424 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV197 @ SV1493 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1867 @ SV2173 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9424 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3645]) ).
thf(4024,plain,
! [SV2174: $i,SV1868: $i,SV1495: $i,SV1083: $i,SV644: $i,SV199: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV199 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1083 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV1495 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1868 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2174 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV199 @ SV1083 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1495 @ SV1868 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2174 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3646]) ).
thf(4025,plain,
! [SV2175: $i,SV1870: $i,SV1497: $i,SV1085: $i,SV646: $i,SV201: $i] :
( ( ! [SY9425: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV201 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1497 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV1870 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2175 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9425 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV201 @ SV1497 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1870 @ SV2175 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9425 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3648]) ).
thf(4026,plain,
! [SV2176: $i,SV1871: $i,SV1498: $i,SV1086: $i,SV647: $i,SV202: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_Othrow @ SV202 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV647 @ SV1086 @ SV1498 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1871 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV202 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1871 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2176 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3649]) ).
thf(4027,plain,
! [SV2177: $i,SV1872: $i,SV1499: $i,SV1087: $i,SV648: $i,SV203: $i] :
( ( ! [SY9426: $i,SY9427: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV203 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV2177 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9426 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9427 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV203 @ SV1872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2177 @ SY9426 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9427 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3650]) ).
thf(4028,plain,
! [SV2178: $i,SV1873: $i,SV1500: $i,SV1088: $i,SV649: $i,SV204: $i] :
( ( ! [SY9428: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV204 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1500 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV1873 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2178 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9428 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV204 @ SV1500 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1873 @ SV2178 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9428 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3651]) ).
thf(4029,plain,
! [SV2179: $i,SV1875: $i,SV1502: $i,SV1090: $i,SV651: $i,SV206: $i] :
( ( ! [SY9429: $i,SY9430: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ ( c_Map_Omap__add @ SV1090 @ SV1502 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1875 @ ( c_Pair @ SV2179 @ ( c_Map_Omap__add @ SV1090 @ SY9429 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9430 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ SV1502 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1875 @ ( c_Pair @ SV2179 @ SY9429 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9430 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3653]) ).
thf(4030,plain,
! [SV1877: $i,SV1504: $i,SV1092: $i,SV653: $i,SV208: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ c_Type_Oty_ONT )
= $true )
| ( ( ! [SY9003: $i,SY9004: $i] :
( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV1877 @ SV1092 @ SY9003 @ SV208 @ SY9004 @ SV1504 @ SV653 ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ ( c_Expr_Oexp_OFAcc @ SV1504 @ SY9003 @ SV1877 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9004 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3655]) ).
thf(4031,plain,
! [SV2180: $i,SV1878: $i,SV1505: $i,SV1093: $i,SV654: $i,SV209: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ c_Type_Oty_ONT )
| ! [SY9431: $i] :
( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1878 @ SV1093 @ SV2180 @ SV209 @ SV1505 @ SV654 @ SY9431 ) ) )
| ! [SY9432: $i] :
~ ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ ( c_Expr_Oexp_OFAss @ SV1505 @ SV2180 @ SV1878 @ SY9431 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9432 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3656]) ).
thf(4032,plain,
! [SV2181: $i,SV1879: $i,SV1506: $i,SV1094: $i,SV655: $i,SV210: $i] :
( ( ! [SY9433: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV210 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV1879 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2181 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9433 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV210 @ SV1506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1879 @ SV2181 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9433 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3657]) ).
thf(4033,plain,
! [SV2182: $i,SV1880: $i,SV1507: $i,SV1095: $i,SV656: $i,SV211: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SV656 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SV1507 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1880 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2182 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV656 @ SV1095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1507 @ SV1880 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2182 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3658]) ).
thf(4034,plain,
! [SV1881: $i,SV1508: $i,SV1096: $i,SV657: $i,SV212: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV212 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV657 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1096 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1508 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1881 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV212 @ SV657 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1096 @ SV1508 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1881 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3659]) ).
thf(4035,plain,
! [SV2183: $i,SV1882: $i,SV1509: $i,SV1098: $i,SV659: $i,SV214: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SV659 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1098 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SV1509 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1882 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2183 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV659 @ SV1098 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1509 @ SV1882 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2183 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3660]) ).
thf(4036,plain,
! [SV2184: $i,SV1883: $i,SV1510: $i,SV1099: $i,SV660: $i,SV215: $i] :
( ( ! [SY9434: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV215 @ SV660 @ SV1099 @ SV1510 ) @ ( c_Pair @ SV215 @ SV1883 @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) @ ( c_Recdef_Osame__fst @ SV2184 @ SY9434 @ SV1099 @ SV1510 ) @ ( tc_prod @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) )
| ~ ( c_in @ ( c_Pair @ SV660 @ SV1883 @ SV1510 @ SV1510 ) @ ( hAPP @ SY9434 @ SV215 ) @ ( tc_prod @ SV1510 @ SV1510 ) )
| ~ ( hBOOL @ ( hAPP @ SV2184 @ SV215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3661]) ).
thf(4037,plain,
! [SV2185: $i,SV1884: $i,SV1511: $i,SV1100: $i,SV661: $i,SV216: $i] :
( ( ( c_in @ ( c_Pair @ SV216 @ SV661 @ SV1100 @ SV1100 ) @ SV1511 @ ( tc_prod @ SV1100 @ SV1100 ) )
| ! [SY9435: $i,SY9436: $i] :
( ( c_in @ ( c_Pair @ SV1884 @ SV2185 @ SY9435 @ SY9435 ) @ SY9436 @ ( tc_prod @ SY9435 @ SY9435 ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1884 @ SV216 @ SY9435 @ SV1100 ) @ ( c_Pair @ SV2185 @ SV661 @ SY9435 @ SV1100 ) @ ( tc_prod @ SY9435 @ SV1100 ) @ ( tc_prod @ SY9435 @ SV1100 ) ) @ ( c_Wellfounded_Olex__prod @ SY9436 @ SV1511 @ SY9435 @ SV1100 ) @ ( tc_prod @ ( tc_prod @ SY9435 @ SV1100 ) @ ( tc_prod @ SY9435 @ SV1100 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3662]) ).
thf(4038,plain,
! [SV2186: $i,SV1885: $i,SV1512: $i,SV1101: $i,SV662: $i,SV217: $i] :
( ( ! [SY9437: $i] :
( ! [SY9438: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ SV217 @ SV662 @ SV1101 @ SV1512 ) @ ( c_Pair @ SV1885 @ SV2186 @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) @ ( c_Wellfounded_Olex__prod @ SY9437 @ SY9438 @ SV1101 @ SV1512 ) @ ( tc_prod @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) )
| ~ ( c_in @ ( c_Pair @ SV217 @ SV1885 @ SV1101 @ SV1101 ) @ SY9437 @ ( tc_prod @ SV1101 @ SV1101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3663]) ).
thf(4039,plain,
! [SV2187: $i,SV1886: $i,SV1513: $i,SV1102: $i,SV663: $i,SV218: $i] :
( ( ! [SY9439: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV218 @ SV663 @ SV1102 @ SV1513 ) @ ( c_Pair @ SV218 @ SV1886 @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) ) @ ( c_Wellfounded_Olex__prod @ SV2187 @ SY9439 @ SV1102 @ SV1513 ) @ ( tc_prod @ ( tc_prod @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) ) )
| ~ ( c_in @ ( c_Pair @ SV663 @ SV1886 @ SV1513 @ SV1513 ) @ SY9439 @ ( tc_prod @ SV1513 @ SV1513 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3664]) ).
thf(4040,plain,
! [SV2188: $i,SV1887: $i,SV1514: $i,SV1103: $i,SV664: $i,SV219: $i] :
( ( ( SV219 = SV664 )
| ( c_in @ ( c_Pair @ SV219 @ SV664 @ SV1103 @ SV1103 ) @ SV1514 @ ( tc_prod @ SV1103 @ SV1103 ) )
| ! [SY9440: $i,SY9441: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV219 @ SV1887 @ SV1103 @ SV2188 ) @ ( c_Pair @ SV664 @ SY9440 @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) ) @ ( c_Wellfounded_Olex__prod @ SV1514 @ SY9441 @ SV1103 @ SV2188 ) @ ( tc_prod @ ( tc_prod @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3665]) ).
thf(4041,plain,
! [SV2189: $i,SV1888: $i,SV1515: $i,SV1104: $i,SV665: $i,SV220: $i] :
( ( ! [SY9442: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ ( c_List_Olist_OCons @ SV1515 @ SV1888 @ SV665 ) @ ( c_List_Olist_OCons @ SV2189 @ SY9442 @ SV1104 ) @ SV665 @ SV1104 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ SV1888 @ SY9442 @ SV665 @ SV1104 )
| ~ ( c_in @ ( c_Pair @ SV1515 @ SV2189 @ SV665 @ SV1104 ) @ SV220 @ ( tc_prod @ SV665 @ SV1104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3666]) ).
thf(4042,plain,
! [SV2190: $i,SV1889: $i,SV1516: $i,SV1105: $i,SV666: $i,SV221: $i] :
( ( ! [SY9443: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ ( c_List_Olist_OCons @ SV1516 @ SV1889 @ SV666 ) @ ( c_List_Olist_OCons @ SV2190 @ SY9443 @ SV1105 ) @ SV666 @ SV1105 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ SV1889 @ SY9443 @ SV666 @ SV1105 )
| ~ ( c_in @ ( c_Pair @ SV1516 @ SV2190 @ SV666 @ SV1105 ) @ SV221 @ ( tc_prod @ SV666 @ SV1105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3667]) ).
thf(4043,plain,
! [SV2191: $i,SV1890: $i,SV1517: $i,SV1106: $i,SV667: $i,SV222: $i] :
( ( ! [SY9444: $i] :
( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ ( c_List_Olist_OCons @ SV1517 @ SV1890 @ SV667 ) @ ( c_List_Olist_OCons @ SV2191 @ SY9444 @ SV1106 ) @ SV667 @ SV1106 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ SV1890 @ SY9444 @ SV667 @ SV1106 )
| ~ ( c_in @ ( c_Pair @ SV1517 @ SV2191 @ SV667 @ SV1106 ) @ SV222 @ ( tc_prod @ SV667 @ SV1106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3668]) ).
thf(4044,plain,
! [SV1891: $i,SV1518: $i,SV1107: $i,SV668: $i,SV223: $i] :
( ( ( c_in @ ( c_Pair @ SV223 @ SV668 @ SV1107 @ SV1518 ) @ SV1891 @ ( tc_prod @ SV1107 @ SV1518 ) )
= $true )
| ( ( ! [SY9031: $i,SY9032: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV1891 @ SV1107 @ SV1518 ) @ ( c_List_Olist_OCons @ SV223 @ SY9031 @ SV1107 ) @ ( c_List_Olist_OCons @ SV668 @ SY9032 @ SV1518 ) @ SV1107 @ SV1518 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3669]) ).
thf(4045,plain,
! [SV2192: $i,SV1892: $i,SV1519: $i,SV1108: $i,SV669: $i,SV224: $i] :
( ( ! [SY9445: $i,SY9446: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SV1108 @ SV1519 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9445 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9446 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9447: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1519 @ SY9447 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9445 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9446 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9037: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9037 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9447 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9446 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3670]) ).
thf(4046,plain,
! [SV2193: $i,SV1893: $i,SV1520: $i,SV1109: $i,SV670: $i,SV225: $i] :
( ( ! [SY9449: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SV670 @ SV1109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9449 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9450: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1109 @ SY9450 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9449 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY8314: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY8314 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9450 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9449 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3671]) ).
thf(4047,plain,
! [SV1894: $i,SV1521: $i,SV1110: $i,SV671: $i,SV226: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV226 @ SV671 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1110 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1521 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1894 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV671 @ SV1110 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1521 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1894 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3672]) ).
thf(4048,plain,
! [SV2194: $i,SV1895: $i,SV1522: $i,SV1111: $i,SV672: $i,SV227: $i] :
( ( ! [SY9452: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV227 @ SV672 @ SV1111 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1522 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1895 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2194 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9452 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV227 @ SV1522 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1895 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2194 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9452 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3673]) ).
thf(4049,plain,
! [SV2195: $i,SV1896: $i,SV1523: $i,SV1112: $i,SV673: $i,SV228: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV228 @ SV673 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1523 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1896 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2195 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV228 @ SV1112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1523 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1896 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2195 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3674]) ).
thf(4050,plain,
! [SV2196: $i,SV1897: $i,SV1524: $i,SV1113: $i,SV674: $i,SV229: $i] :
( ( ! [SY9453: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV229 @ SV674 @ SV1113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1524 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1897 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2196 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9453 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV229 @ SV1524 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1897 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2196 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9453 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3675]) ).
thf(4051,plain,
! [SV2197: $i,SV1898: $i,SV1525: $i,SV1114: $i,SV675: $i,SV230: $i] :
( ( ! [SY9454: $i,SY9455: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV230 @ SV675 @ SV1114 @ SV1525 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2197 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9454 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9455 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV230 @ SV1898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2197 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9454 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9455 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3676]) ).
thf(4052,plain,
! [SV2198: $i,SV1899: $i,SV1526: $i,SV1115: $i,SV676: $i,SV231: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV231 @ SV676 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1526 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2198 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV231 @ SV1115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1526 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2198 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3677]) ).
thf(4053,plain,
! [SV2199: $i,SV1900: $i,SV1527: $i,SV1116: $i,SV677: $i,SV232: $i] :
( ( ! [SY9456: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV232 @ SV677 @ SV1116 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1527 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2199 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9456 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV232 @ SV1527 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2199 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9456 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3678]) ).
thf(4054,plain,
! [SV2200: $i,SV1901: $i,SV1528: $i,SV1117: $i,SV678: $i,SV233: $i] :
( ( ! [SY9457: $i,SY9458: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ ( c_Map_Omap__add @ SV1117 @ SV1528 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1901 @ ( c_Pair @ SV2200 @ ( c_Map_Omap__add @ SV1117 @ SY9457 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9458 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ SV1528 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1901 @ ( c_Pair @ SV2200 @ SY9457 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9458 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3679]) ).
thf(4055,plain,
! [SV2201: $i,SV1902: $i,SV1529: $i,SV1118: $i,SV679: $i,SV234: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SV679 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SV1529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1902 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2201 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV679 @ SV1118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1529 @ SV1902 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2201 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3680]) ).
thf(4056,plain,
! [SV1903: $i,SV1530: $i,SV1119: $i,SV680: $i,SV235: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV235 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1119 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1530 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1903 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV235 @ SV680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1119 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1530 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1903 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3681]) ).
thf(4057,plain,
! [SV2202: $i,SV1904: $i,SV1531: $i,SV1120: $i,SV681: $i,SV236: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SV681 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SV1531 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1904 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2202 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV681 @ SV1120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1531 @ SV1904 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2202 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3682]) ).
thf(4058,plain,
! [SV2203: $i,SV1905: $i,SV1532: $i,SV1121: $i,SV682: $i,SV237: $i] :
( ( ! [SY9459: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV237 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1532 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV1905 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2203 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9459 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV237 @ SV1532 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1905 @ SV2203 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9459 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3683]) ).
thf(4059,plain,
! [SV241: $i,SV1533: $i,SV1125: $i,SV686: $i,SV2204: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ SV2204 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
| ~ ( c_in @ ( c_Pair @ SV241 @ SV2204 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV241 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3685]) ).
thf(4060,plain,
! [SV242: $i,SV1534: $i,SV1126: $i,SV687: $i,SV2205: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ SV2205 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SV1534 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
| ~ ( c_in @ ( c_Pair @ SV242 @ SV2205 @ SV1126 @ SV1126 ) @ SV1534 @ ( tc_prod @ SV1126 @ SV1126 ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV242 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SV1534 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3686]) ).
thf(4061,plain,
! [SV243: $i,SV1535: $i,SV1127: $i,SV688: $i,SV2206: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ SV2206 @ SV688 @ SV1127 @ SV1127 ) @ SV1535 @ ( tc_prod @ SV1127 @ SV1127 ) )
| ~ ( c_in @ ( c_Pair @ SV243 @ SV2206 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SV1535 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV243 @ SV688 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SV1535 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3687]) ).
thf(4062,plain,
! [SV1906: $i,SV1536: $i,SV1128: $i,SV689: $i,SV244: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV244 @ SV689 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1128 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1536 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1906 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV244 @ SV1128 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1536 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1906 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3688]) ).
thf(4063,plain,
! [SV1907: $i,SV1537: $i,SV1129: $i,SV690: $i,SV245: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV245 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1129 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1537 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1907 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV245 @ SV690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1129 @ SV1537 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1907 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3689]) ).
thf(4064,plain,
! [SV2207: $i,SV1908: $i,SV1538: $i,SV1130: $i,SV692: $i,SV247: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV247 @ SV692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9460: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV692 @ SY9460 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9461: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV247 @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9461 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9460 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3690]) ).
thf(4065,plain,
! [SV2208: $i,SV1909: $i,SV1539: $i,SV1131: $i,SV693: $i,SV248: $i] :
( ( ! [SY9462: $i,SY9463: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV248 @ SV693 @ SV1131 @ SV1539 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2208 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9462 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9463 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV248 @ SV1909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2208 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9462 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9463 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3691]) ).
thf(4066,plain,
! [SV1910: $i,SV1540: $i,SV1132: $i,SV694: $i,SV249: $i] :
( ( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1132 )
= $true )
| ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1540 )
| ! [SY9066: $i] :
~ ( c_WellTypeRT_OWTrt @ SV249 @ ( c_State_Ohp @ SV1540 ) @ SV694 @ SV1910 @ SY9066 )
| ! [SY9067: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1910 @ SV1540 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9067 @ SV1132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3692]) ).
thf(4067,plain,
! [SV2209: $i,SV1911: $i,SV1542: $i,SV1134: $i,SV696: $i,SV251: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV251 @ SV696 @ SV1134 )
!= ( c_Expr_Oexp_OFAcc @ SV1542 @ SV1911 @ SV2209 @ SV1134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3693]) ).
thf(4068,plain,
! [SV2210: $i,SV1912: $i,SV1543: $i,SV1135: $i,SV697: $i,SV252: $i] :
( ( ! [SY9464: $i] :
( ( c_Expr_Oexp_OFAcc @ SV252 @ SV697 @ SV1135 @ SV1543 )
!= ( c_Expr_Oexp_OBinOp @ SV1912 @ SV2210 @ SY9464 @ SV1543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3694]) ).
thf(4069,plain,
! [SV2211: $i,SV1913: $i,SV1544: $i,SV1136: $i,SV698: $i,SV253: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV253 @ SV698 @ SV1136 )
!= ( c_Expr_Oexp_OFAcc @ SV1544 @ SV1913 @ SV2211 @ SV1136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3695]) ).
thf(4070,plain,
! [SV1914: $i,SV1545: $i,SV1137: $i,SV699: $i,SV254: $i] :
( ( ( ! [SY9072: $i,SY9073: $i] :
( ( c_Expr_Oexp_OBinOp @ SV254 @ SV699 @ SV1137 @ SV1545 )
!= ( c_Expr_Oexp_OBinOp @ SV1914 @ SY9072 @ SY9073 @ SV1545 ) ) )
= $true )
| ( ( SV254 = SV1914 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3696]) ).
thf(4071,plain,
! [SV2212: $i,SV1915: $i,SV1546: $i,SV1138: $i,SV700: $i,SV255: $i] :
( ( ! [SY9465: $i] :
( ( c_Expr_Oexp_OBinOp @ SV255 @ SV700 @ SV1138 @ SV1546 )
!= ( c_Expr_Oexp_OBinOp @ SV1915 @ SV2212 @ SY9465 @ SV1546 ) )
| ( SV700 = SV2212 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3697]) ).
thf(4072,plain,
! [SV2213: $i,SV1916: $i,SV1547: $i,SV1139: $i,SV701: $i,SV256: $i] :
( ( ! [SY9466: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV256 @ SV701 @ SV1139 @ SV1547 )
!= ( c_Expr_Oexp_OBinOp @ SV1916 @ SV2213 @ SY9466 @ SV1547 ) )
| ( SV1139 = SY9466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3698]) ).
thf(4073,plain,
! [SV2214: $i,SV1917: $i,SV1548: $i,SV1140: $i,SV702: $i,SV257: $i] :
( ( ( c_Expr_Oexp_OVal @ SV257 @ SV702 )
!= ( c_Expr_Oexp_OFAss @ SV1140 @ SV1548 @ SV1917 @ SV2214 @ SV702 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3699]) ).
thf(4074,plain,
! [SV2215: $i,SV1918: $i,SV1549: $i,SV1141: $i,SV703: $i,SV258: $i] :
( ( ! [SY9467: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV258 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1549 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV1918 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2215 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9467 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV258 @ SV1549 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1918 @ SV2215 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9467 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3700]) ).
thf(4075,plain,
! [SV2216: $i,SV1919: $i,SV1550: $i,SV1142: $i,SV704: $i,SV259: $i] :
( ( ! [SY9468: $i,SY9469: $i] :
( ( c_SmallStep_Oredp @ SV259 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SV1919 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2216 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SY9468 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9469 )
| ~ ( c_SmallStep_Oredp @ SV259 @ SV1919 @ SV2216 @ SY9468 @ SY9469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3701]) ).
thf(4076,plain,
! [SV1920: $i,SV1551: $i,SV1143: $i,SV705: $i,SV260: $i] :
( ( ( c_Expr_Oexp_OVal @ SV260 @ SV705 )
= ( c_Expr_Oexp_OFAcc @ SV1143 @ SV1551 @ SV1920 @ SV705 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3702]) ).
thf(4077,plain,
! [SV1921: $i,SV1552: $i,SV1144: $i,SV706: $i,SV261: $i] :
( ( ( ( c_List_Olist_OCons @ SV261 @ SV706 @ SV1144 )
!= ( c_List_Olist_OCons @ SV1552 @ SV1921 @ SV1144 ) )
= $true )
| ( ( SV706 = SV1921 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3703]) ).
thf(4078,plain,
! [SV2217: $i,SV1553: $i,SV1145: $i,SV707: $i,SV262: $i] :
( ( ( ( c_List_Olist_OCons @ SV262 @ SV707 @ SV1145 )
!= ( c_List_Olist_OCons @ SV1553 @ SV2217 @ SV1145 ) )
= $true )
| ( ( SV262 = SV1553 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3704]) ).
thf(4079,plain,
! [SV1922: $i,SV1554: $i,SV1146: $i,SV708: $i,SV263: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ ( c_Expr_Oexp_OBinOp @ SV1554 @ c_Expr_Obop_OEq @ SV1922 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true )
| ( ( ! [SY9084: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1922 @ SY9084 )
| ! [SY8391: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1554 @ SY8391 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3705]) ).
thf(4080,plain,
! [SV2218: $i,SV1923: $i,SV1555: $i,SV1147: $i,SV709: $i,SV264: $i] :
( ( ! [SY9470: $i] :
( ( c_Expr_Oexp_OBinOp @ SV264 @ SV709 @ SV1147 @ SV1555 )
!= ( c_Expr_Oexp_OCond @ SV1923 @ SV2218 @ SY9470 @ SV1555 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3706]) ).
thf(4081,plain,
! [SV2219: $i,SV1924: $i,SV1556: $i,SV1148: $i,SV710: $i,SV265: $i] :
( ( ! [SY9471: $i] :
( ( c_Expr_Oexp_OFAss @ SV265 @ SV710 @ SV1148 @ SV1556 @ SV1924 )
!= ( c_Expr_Oexp_OWhile @ SV2219 @ SY9471 @ SV1924 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3707]) ).
thf(4082,plain,
! [SV2220: $i,SV1925: $i,SV1557: $i,SV1149: $i,SV711: $i,SV267: $i] :
( ( ! [SY9472: $i,SY9473: $i] :
( ( c_Expr_Oexp_OFAcc @ SV267 @ SV711 @ SV1149 @ SV1557 )
!= ( c_Expr_Oexp_OFAss @ SV1925 @ SV2220 @ SY9472 @ SY9473 @ SV1557 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3708]) ).
thf(4083,plain,
! [SV1926: $i,SV1558: $i,SV1150: $i,SV712: $i,SV269: $i] :
( ( ( c_Expr_Oexp_OVal @ SV269 @ SV712 )
= ( c_Expr_Oexp_OBinOp @ SV1150 @ SV1558 @ SV1926 @ SV712 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3709]) ).
thf(4084,plain,
! [SV2221: $i,SV1927: $i,SV1560: $i,SV1152: $i,SV714: $i,SV271: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV271 @ SV714 @ SV1152 @ SV1560 )
!= ( c_Expr_Oexp_OWhile @ SV1927 @ SV2221 @ SV1560 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3711]) ).
thf(4085,plain,
! [SV2222: $i,SV1928: $i,SV1561: $i,SV1153: $i,SV715: $i,SV272: $i] :
( ( ! [SY9474: $i,SY9475: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV272 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1928 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV2222 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9474 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9475 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV272 @ SV1928 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2222 @ SY9474 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9475 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3712]) ).
thf(4086,plain,
! [SV2223: $i,SV1929: $i,SV1562: $i,SV1154: $i,SV716: $i,SV273: $i] :
( ( ! [SY9476: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SV1154 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SV1929 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2223 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9476 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1154 @ SV1562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1929 @ SV2223 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9476 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3713]) ).
thf(4087,plain,
! [SV2224: $i,SV1930: $i,SV1563: $i,SV1155: $i,SV717: $i,SV274: $i] :
( ( ! [SY9477: $i] :
( ( c_Expr_Oexp_OWhile @ SV274 @ SV717 @ SV1155 )
!= ( c_Expr_Oexp_OTryCatch @ SV1563 @ SV1930 @ SV2224 @ SY9477 @ SV1155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3714]) ).
thf(4088,plain,
! [SV2225: $i,SV1931: $i,SV1564: $i,SV1156: $i,SV718: $i,SV275: $i] :
( ( ! [SY9478: $i] :
( ( c_SmallStep_Oredp @ SV275 @ ( c_Expr_Oexp_OBinOp @ SV718 @ SV1156 @ SV1564 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1931 @ ( c_Expr_Oexp_OBinOp @ SV2225 @ SV1156 @ SV1564 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9478 )
| ~ ( c_SmallStep_Oredp @ SV275 @ SV718 @ SV1931 @ SV2225 @ SY9478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3715]) ).
thf(4089,plain,
! [SV2226: $i,SV1932: $i,SV1565: $i,SV1157: $i,SV719: $i,SV276: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV276 @ SV719 @ SV1157 )
!= ( c_Expr_Oexp_OBinOp @ SV1565 @ SV1932 @ SV2226 @ SV1157 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3716]) ).
thf(4090,plain,
! [SV2227: $i,SV1933: $i,SV1566: $i,SV1158: $i,SV720: $i,SV277: $i] :
( ( ! [SY9479: $i,SY9480: $i] :
( ( c_Expr_Oexp_OFAss @ SV277 @ SV720 @ SV1158 @ SV1566 @ SV1933 )
!= ( c_Expr_Oexp_OFAcc @ SV2227 @ SY9479 @ SY9480 @ SV1933 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3717]) ).
thf(4091,plain,
! [SV2228: $i,SV1934: $i,SV1567: $i,SV1159: $i,SV721: $i,SV278: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV278 @ SV721 @ SV1159 @ SV1567 )
!= ( c_Expr_Oexp_OSeq @ SV1934 @ SV2228 @ SV1567 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3718]) ).
thf(4092,plain,
! [SV2229: $i,SV1935: $i,SV1568: $i,SV1161: $i,SV723: $i,SV280: $i] :
( ( ! [SY9481: $i,SY9482: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV280 @ SV723 @ SV1161 @ SV1568 @ SV1935 )
!= ( c_Expr_Oexp_OBinOp @ SV2229 @ SY9481 @ SY9482 @ SV1935 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3719]) ).
thf(4093,plain,
! [SV2230: $i,SV281: $i,SV1936: $i,SV724: $i,SV1162: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV1162 @ ( c_Expr_Oexp_OVal @ SV724 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1936 @ SV281 @ SV2230 ) )
= $true )
| ( ( SV281
= ( c_Expr_Oexp_OVal @ SV724 @ ( tc_List_Olist @ tc_String_Ochar ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3720]) ).
thf(4094,plain,
! [SV2231: $i,SV1937: $i,SV1569: $i,SV1163: $i,SV725: $i,SV282: $i] :
( ( ! [SY9483: $i] :
( ( c_Expr_Oexp_OFAss @ SV282 @ SV725 @ SV1163 @ SV1569 @ SV1937 )
!= ( c_Expr_Oexp_OSeq @ SV2231 @ SY9483 @ SV1937 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3721]) ).
thf(4095,plain,
! [SV2232: $i,SV1938: $i,SV1571: $i,SV1165: $i,SV727: $i,SV284: $i] :
( ( ! [SY9484: $i,SY9485: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV284 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1938 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV2232 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9485 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV284 @ SV1938 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2232 @ SY9484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9485 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3723]) ).
thf(4096,plain,
! [SV2233: $i,SV1939: $i,SV1572: $i,SV1166: $i,SV728: $i,SV285: $i] :
( ( ! [SY9486: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV285 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV1939 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2233 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9486 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV285 @ SV1572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1939 @ SV2233 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9486 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3724]) ).
thf(4097,plain,
! [SV2234: $i,SV1940: $i,SV1573: $i,SV1167: $i,SV729: $i,SV286: $i] :
( ( ! [SY9487: $i,SY9488: $i] :
( ( c_Expr_Oexp_OFAcc @ SV286 @ SV729 @ SV1167 @ SV1573 )
!= ( c_Expr_Oexp_OTryCatch @ SV1940 @ SV2234 @ SY9487 @ SY9488 @ SV1573 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3725]) ).
thf(4098,plain,
! [SV2235: $i,SV1941: $i,SV1574: $i,SV1168: $i,SV730: $i,SV287: $i] :
( ( ( c_SmallStep_Oredp @ SV287 @ ( c_Expr_Oexp_OSeq @ SV730 @ SV1168 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1574 @ ( c_Expr_Oexp_OSeq @ SV1941 @ SV1168 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2235 )
| ~ ( c_SmallStep_Oredp @ SV287 @ SV730 @ SV1574 @ SV1941 @ SV2235 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3726]) ).
thf(4099,plain,
! [SV2236: $i,SV1942: $i,SV1575: $i,SV1169: $i,SV731: $i,SV288: $i] :
( ( ! [SY9489: $i] :
( ! [SY9490: $i,SY9491: $i] :
( ( c_Expr_Oexp_OFAss @ SV288 @ SV731 @ SV1169 @ SV1575 @ SV1942 )
!= ( c_Expr_Oexp_OFAss @ SV2236 @ SY9489 @ SY9490 @ SY9491 @ SV1942 ) )
| ( SV288 = SV2236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3727]) ).
thf(4100,plain,
! [SV2237: $i,SV1943: $i,SV1576: $i,SV1170: $i,SV732: $i,SV289: $i] :
( ( ! [SY9492: $i] :
( ! [SY9493: $i,SY9494: $i] :
( ( c_Expr_Oexp_OFAss @ SV289 @ SV732 @ SV1170 @ SV1576 @ SV1943 )
!= ( c_Expr_Oexp_OFAss @ SV2237 @ SY9492 @ SY9493 @ SY9494 @ SV1943 ) )
| ( SV732 = SY9492 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3728]) ).
thf(4101,plain,
! [SV2238: $i,SV1944: $i,SV1577: $i,SV1171: $i,SV733: $i,SV290: $i] :
( ( ! [SY9495: $i,SY9496: $i] :
( ! [SY9497: $i] :
( ( c_Expr_Oexp_OFAss @ SV290 @ SV733 @ SV1171 @ SV1577 @ SV1944 )
!= ( c_Expr_Oexp_OFAss @ SV2238 @ SY9495 @ SY9496 @ SY9497 @ SV1944 ) )
| ( SV1171 = SY9496 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3729]) ).
thf(4102,plain,
! [SV2239: $i,SV1945: $i,SV1578: $i,SV1172: $i,SV734: $i,SV291: $i] :
( ( ! [SY9498: $i,SY9499: $i,SY9500: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV291 @ SV734 @ SV1172 @ SV1578 @ SV1945 )
!= ( c_Expr_Oexp_OFAss @ SV2239 @ SY9498 @ SY9499 @ SY9500 @ SV1945 ) )
| ( SV1578 = SY9500 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3730]) ).
thf(4103,plain,
! [SV1946: $i,SV1579: $i,SV1173: $i,SV735: $i,SV292: $i] :
( ( ( ! [SY9139: $i,SY9140: $i] :
( ( c_Expr_Oexp_OFAcc @ SV292 @ SV735 @ SV1173 @ SV1579 )
!= ( c_Expr_Oexp_OFAcc @ SV1946 @ SY9139 @ SY9140 @ SV1579 ) ) )
= $true )
| ( ( SV292 = SV1946 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3731]) ).
thf(4104,plain,
! [SV2240: $i,SV1947: $i,SV1580: $i,SV1174: $i,SV736: $i,SV293: $i] :
( ( ! [SY9501: $i] :
( ( c_Expr_Oexp_OFAcc @ SV293 @ SV736 @ SV1174 @ SV1580 )
!= ( c_Expr_Oexp_OFAcc @ SV1947 @ SV2240 @ SY9501 @ SV1580 ) )
| ( SV736 = SV2240 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3732]) ).
thf(4105,plain,
! [SV2241: $i,SV1948: $i,SV1581: $i,SV1175: $i,SV737: $i,SV294: $i] :
( ( ! [SY9502: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV294 @ SV737 @ SV1175 @ SV1581 )
!= ( c_Expr_Oexp_OFAcc @ SV1948 @ SV2241 @ SY9502 @ SV1581 ) )
| ( SV1175 = SY9502 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3733]) ).
thf(4106,plain,
! [SV2242: $i,SV1949: $i,SV1582: $i,SV1176: $i,SV738: $i,SV295: $i] :
( ( ! [SY9503: $i] :
( ( c_List_Olist__all2 @ SV295 @ ( c_List_Olist_OCons @ SV738 @ SV1176 @ SV1582 ) @ ( c_List_Olist_OCons @ SV1949 @ SV2242 @ SY9503 ) @ SV1582 @ SY9503 )
| ~ ( c_List_Olist__all2 @ SV295 @ SV1176 @ SV2242 @ SV1582 @ SY9503 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV295 @ SV738 ) @ SV1949 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3734]) ).
thf(4107,plain,
! [SV2243: $i,SV1950: $i,SV1583: $i,SV1177: $i,SV739: $i,SV296: $i] :
( ( ! [SY9504: $i] :
( ( c_List_Olist__all2 @ SV296 @ ( c_List_Olist_OCons @ SV739 @ SV1177 @ SV1583 ) @ ( c_List_Olist_OCons @ SV1950 @ SV2243 @ SY9504 ) @ SV1583 @ SY9504 )
| ~ ( c_List_Olist__all2 @ SV296 @ SV1177 @ SV2243 @ SV1583 @ SY9504 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV296 @ SV739 ) @ SV1950 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3735]) ).
thf(4108,plain,
! [SV2244: $i,SV1951: $i,SV1584: $i,SV1178: $i,SV740: $i,SV297: $i] :
( ( ! [SY9505: $i] :
( ( c_List_Olist__all2 @ SV297 @ ( c_List_Olist_OCons @ SV740 @ SV1178 @ SV1584 ) @ ( c_List_Olist_OCons @ SV1951 @ SV2244 @ SY9505 ) @ SV1584 @ SY9505 )
| ~ ( c_List_Olist__all2 @ SV297 @ SV1178 @ SV2244 @ SV1584 @ SY9505 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV297 @ SV740 ) @ SV1951 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3736]) ).
thf(4109,plain,
! [SV2245: $i,SV1952: $i,SV1585: $i,SV1179: $i,SV741: $i,SV298: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV298 @ SV741 @ SV1179 @ SV1585 )
!= ( c_Expr_Oexp_OSeq @ SV1952 @ SV2245 @ SV1585 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3737]) ).
thf(4110,plain,
! [SV2246: $i,SV1953: $i,SV1586: $i,SV1180: $i,SV742: $i,SV299: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV299 @ SV742 @ SV1180 )
!= ( c_Expr_Oexp_OBinOp @ SV1586 @ SV1953 @ SV2246 @ SV1180 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3738]) ).
thf(4111,plain,
! [SV2247: $i,SV1954: $i,SV1587: $i,SV1181: $i,SV744: $i,SV301: $i] :
( ( ! [SY9506: $i,SY9507: $i] :
( ( c_Expr_Oexp_OBinOp @ SV301 @ SV744 @ SV1181 @ SV1587 )
!= ( c_Expr_Oexp_OFAss @ SV1954 @ SV2247 @ SY9506 @ SY9507 @ SV1587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3739]) ).
thf(4112,plain,
! [SV2248: $i,SV1955: $i,SV1588: $i,SV1182: $i,SV745: $i,SV302: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV302 @ SV745 @ SV1182 @ SV1588 )
!= ( c_Expr_Oexp_OWhile @ SV1955 @ SV2248 @ SV1588 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3740]) ).
thf(4113,plain,
! [SV1956: $i,SV1589: $i,SV1183: $i,SV746: $i,SV303: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV303 @ SV746 @ SV1183 )
= ( c_Expr_Oexp_OWhile @ SV1589 @ SV1956 @ SV1183 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3741]) ).
thf(4114,plain,
! [SV2249: $i,SV1957: $i,SV1590: $i,SV1184: $i,SV747: $i,SV304: $i] :
( ( ! [SY9508: $i,SY9509: $i,SY9510: $i] :
( ( c_Expr_Oexp_OFAss @ SV304 @ SV747 @ SV1184 @ SV1590 @ SV1957 )
!= ( c_Expr_Oexp_OTryCatch @ SV2249 @ SY9508 @ SY9509 @ SY9510 @ SV1957 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3742]) ).
thf(4115,plain,
! [SV2250: $i,SV1958: $i,SV1591: $i,SV1185: $i,SV748: $i,SV305: $i] :
( ( ! [SY9511: $i] :
( ( c_Expr_Oexp_OCond @ SV305 @ SV748 @ SV1185 @ SV1591 )
!= ( c_Expr_Oexp_OBinOp @ SV1958 @ SV2250 @ SY9511 @ SV1591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3743]) ).
thf(4116,plain,
! [SV2251: $i,SV1959: $i,SV1592: $i,SV1186: $i,SV749: $i,SV306: $i] :
( ( ! [SY9512: $i,SY9513: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SV1592 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1959 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SV2251 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9512 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9513 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1592 @ SV1959 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2251 @ SY9512 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9513 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3744]) ).
thf(4117,plain,
! [SV2252: $i,SV1960: $i,SV1593: $i,SV1187: $i,SV750: $i,SV307: $i] :
( ( ! [SY9514: $i] :
( ( c_SmallStep_Oredp @ SV307 @ ( c_Expr_Oexp_OCond @ SV750 @ SV1187 @ SV1593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1960 @ ( c_Expr_Oexp_OCond @ SV2252 @ SV1187 @ SV1593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9514 )
| ~ ( c_SmallStep_Oredp @ SV307 @ SV750 @ SV1960 @ SV2252 @ SY9514 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3745]) ).
thf(4118,plain,
! [SV2253: $i,SV1961: $i,SV1594: $i,SV1188: $i,SV751: $i,SV308: $i] :
( ( ! [SY9515: $i] :
( ( c_Expr_Oexp_OBinOp @ SV308 @ SV751 @ SV1188 @ SV1594 )
!= ( c_Expr_Oexp_OFAcc @ SV1961 @ SV2253 @ SY9515 @ SV1594 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3746]) ).
thf(4119,plain,
! [SV1962: $i,SV1595: $i,SV1189: $i,SV752: $i,SV309: $i] :
( ( ( c_List_Olist__all2 @ SV309 @ SV752 @ SV1189 @ SV1595 @ SV1962 )
= $true )
| ( ( ! [SY9170: $i,SY9171: $i] :
~ ( c_List_Olist__all2 @ SV309 @ ( c_List_Olist_OCons @ SY9170 @ SV752 @ SV1595 ) @ ( c_List_Olist_OCons @ SY9171 @ SV1189 @ SV1962 ) @ SV1595 @ SV1962 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3747]) ).
thf(4120,plain,
! [SV2254: $i,SV1963: $i,SV1596: $i,SV1190: $i,SV753: $i,SV310: $i] :
( ( ! [SY9516: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV310 @ SV753 @ SV1190 @ SV1596 @ SV1963 )
!= ( c_Expr_Oexp_OWhile @ SV2254 @ SY9516 @ SV1963 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3748]) ).
thf(4121,plain,
! [SV1964: $i,SV1597: $i,SV1191: $i,SV754: $i,SV311: $i] :
( ( ( c_Objects_Ohext @ SV311 @ SV754 )
= $true )
| ( ( ! [SY9174: $i,SY9175: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1191 @ ( c_Pair @ SV311 @ SV1597 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1964 @ ( c_Pair @ SV754 @ SY9174 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9175 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3749]) ).
thf(4122,plain,
! [SV2255: $i,SV1965: $i,SV1598: $i,SV1192: $i,SV755: $i,SV312: $i] :
( ( ! [SY9517: $i,SY9518: $i,SY9519: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV312 @ SV755 @ SV1192 @ SV1598 @ SV1965 )
!= ( c_Expr_Oexp_OFAss @ SV2255 @ SY9517 @ SY9518 @ SY9519 @ SV1965 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3750]) ).
thf(4123,plain,
! [SV1966: $i,SV1599: $i,SV1193: $i,SV756: $i,SV313: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV313 @ SV756 @ SV1193 @ SV1599 )
= ( c_Expr_Oexp_OVal @ SV1966 @ SV1599 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3751]) ).
thf(4124,plain,
! [SV2256: $i,SV1967: $i,SV1600: $i,SV1194: $i,SV757: $i,SV314: $i] :
( ( ! [SY9520: $i,SY9521: $i] :
( ( c_Expr_Oexp_OCond @ SV314 @ SV757 @ SV1194 @ SV1600 )
!= ( c_Expr_Oexp_OFAss @ SV1967 @ SV2256 @ SY9520 @ SY9521 @ SV1600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3752]) ).
thf(4125,plain,
! [SV2257: $i,SV1968: $i,SV1601: $i,SV1195: $i,SV758: $i,SV315: $i] :
( ( ! [SY9522: $i,SY9523: $i] :
( ( c_SmallStep_Oredp @ SV315 @ ( c_Expr_Oexp_OFAss @ SV758 @ SV1195 @ SV1601 @ SV1968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2257 @ ( c_Expr_Oexp_OFAss @ SY9522 @ SV1195 @ SV1601 @ SV1968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9523 )
| ~ ( c_SmallStep_Oredp @ SV315 @ SV758 @ SV2257 @ SY9522 @ SY9523 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3753]) ).
thf(4126,plain,
! [SV2258: $i,SV1969: $i,SV1602: $i,SV1196: $i,SV759: $i,SV316: $i] :
( ( ! [SY9524: $i] :
( ( c_SmallStep_Oredp @ SV316 @ ( c_Expr_Oexp_OFAcc @ SV759 @ SV1196 @ SV1602 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1969 @ ( c_Expr_Oexp_OFAcc @ SV2258 @ SV1196 @ SV1602 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9524 )
| ~ ( c_SmallStep_Oredp @ SV316 @ SV759 @ SV1969 @ SV2258 @ SY9524 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3754]) ).
thf(4127,plain,
! [SV1970: $i,SV1603: $i,SV1197: $i,SV760: $i,SV317: $i] :
( ( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ ( c_Expr_Oexp_OBinOp @ SV1603 @ c_Expr_Obop_OEq @ SV1970 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true )
| ( ( ! [SY9188: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1970 @ SY9188 )
| ! [SY8541: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1603 @ SY8541 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3755]) ).
thf(4128,plain,
! [SV2259: $i,SV1971: $i,SV1604: $i,SV1198: $i,SV761: $i,SV318: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV318 @ SV761 @ SV1198 )
!= ( c_Expr_Oexp_OCond @ SV1604 @ SV1971 @ SV2259 @ SV1198 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3756]) ).
thf(4129,plain,
! [SV2260: $i,SV1972: $i,SV1605: $i,SV1199: $i,SV762: $i,SV320: $i] :
( ( ! [SY9525: $i,SY9526: $i] :
( ( c_SmallStep_Oredp @ SV320 @ ( c_Expr_Oexp_OTryCatch @ SV762 @ SV1199 @ SV1605 @ SV1972 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2260 @ ( c_Expr_Oexp_OTryCatch @ SY9525 @ SV1199 @ SV1605 @ SV1972 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9526 )
| ~ ( c_SmallStep_Oredp @ SV320 @ SV762 @ SV2260 @ SY9525 @ SY9526 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3757]) ).
thf(4130,plain,
! [SV2261: $i,SV1973: $i,SV1606: $i,SV1200: $i,SV763: $i,SV321: $i] :
( ( ! [SY9527: $i,SY9528: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV321 @ SV763 @ SV1200 @ SV1606 @ SV1973 )
!= ( c_Expr_Oexp_OFAcc @ SV2261 @ SY9527 @ SY9528 @ SV1973 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3758]) ).
thf(4131,plain,
! [SV2262: $i,SV1974: $i,SV1607: $i,SV1201: $i,SV764: $i,SV322: $i] :
( ( ! [SY9529: $i] :
( ( c_Expr_Oexp_OCond @ SV322 @ SV764 @ SV1201 @ SV1607 )
!= ( c_Expr_Oexp_OFAcc @ SV1974 @ SV2262 @ SY9529 @ SV1607 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3759]) ).
thf(4132,plain,
! [SV2263: $i,SV1975: $i,SV1608: $i,SV1202: $i,SV765: $i,SV323: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV323 @ SV765 @ SV1202 @ SV1608 @ SV1975 )
!= ( c_Expr_Oexp_OVal @ SV2263 @ SV1975 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3760]) ).
thf(4133,plain,
! [SV2264: $i,SV1976: $i,SV1609: $i,SV1203: $i,SV766: $i,SV324: $i] :
( ( ( c_Expr_Oexp_OCond @ SV324 @ SV766 @ SV1203 @ SV1609 )
!= ( c_Expr_Oexp_OWhile @ SV1976 @ SV2264 @ SV1609 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3761]) ).
thf(4134,plain,
! [SV2265: $i,SV1977: $i,SV1610: $i,SV1204: $i,SV767: $i,SV325: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV325 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV1610 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1977 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2265 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV325 @ SV1204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1610 @ SV1977 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2265 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3762]) ).
thf(4135,plain,
! [SV1978: $i,SV1614: $i,SV1206: $i,SV771: $i,SV329: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV329 @ SV771 @ SV1206 @ SV1614 )
= ( c_Expr_Oexp_OVal @ SV1978 @ SV1614 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3765]) ).
thf(4136,plain,
! [SV1979: $i,SV1615: $i,SV1207: $i,SV772: $i,SV331: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV331 @ SV772 ) @ SV1207 ) )
= $true )
| ( ( ! [SY9202: $i,SY9203: $i] :
~ ( c_List_Olist__all2 @ SV331 @ ( c_List_Olist_OCons @ SV772 @ SV1615 @ SV1979 ) @ ( c_List_Olist_OCons @ SV1207 @ SY9202 @ SY9203 ) @ SV1979 @ SY9203 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3766]) ).
thf(4137,plain,
! [SV2266: $i,SV1980: $i,SV1616: $i,SV1208: $i,SV773: $i,SV332: $i] :
( ( ! [SY9530: $i] :
( ( c_SmallStep_Oredp @ SV332 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SV1616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1980 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SV2266 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9530 )
| ~ ( c_SmallStep_Oredp @ SV332 @ SV1616 @ SV1980 @ SV2266 @ SY9530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3767]) ).
thf(4138,plain,
! [SV2267: $i,SV1981: $i,SV1617: $i,SV1209: $i,SV774: $i,SV333: $i] :
( ( ! [SY9531: $i] :
( ( c_Expr_Oexp_OFAcc @ SV333 @ SV774 @ SV1209 @ SV1617 )
!= ( c_Expr_Oexp_OCond @ SV1981 @ SV2267 @ SY9531 @ SV1617 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3768]) ).
thf(4139,plain,
! [SV334: $i,SV2268: $i,SV775: $i,SV1982: $i,SV1210: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV1210 @ ( c_Expr_Oexp_OVal @ SV1982 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV775 @ SV2268 @ SV334 ) )
= $true )
| ( ( SV334 = SV775 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3769]) ).
thf(4140,plain,
! [SV2269: $i,SV1983: $i,SV1618: $i,SV1211: $i,SV776: $i,SV335: $i] :
( ( ! [SY9532: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV335 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1618 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV1983 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2269 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9532 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV335 @ SV1618 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1983 @ SV2269 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9532 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3770]) ).
thf(4141,plain,
! [SV2270: $i,SV1984: $i,SV1619: $i,SV1212: $i,SV777: $i,SV336: $i] :
( ( ! [SY9533: $i,SY9534: $i] :
( ( c_Expr_Oexp_OFAss @ SV336 @ SV777 @ SV1212 @ SV1619 @ SV1984 )
!= ( c_Expr_Oexp_OCond @ SV2270 @ SY9533 @ SY9534 @ SV1984 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3771]) ).
thf(4142,plain,
! [SV2271: $i,SV1620: $i,SV1213: $i,SV778: $i,SV337: $i] :
( ( ( ( c_Expr_Oexp_OWhile @ SV337 @ SV778 @ SV1213 )
!= ( c_Expr_Oexp_OWhile @ SV1620 @ SV2271 @ SV1213 ) )
= $true )
| ( ( SV337 = SV1620 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3772]) ).
thf(4143,plain,
! [SV1985: $i,SV1621: $i,SV1214: $i,SV779: $i,SV338: $i] :
( ( ( ( c_Expr_Oexp_OWhile @ SV338 @ SV779 @ SV1214 )
!= ( c_Expr_Oexp_OWhile @ SV1621 @ SV1985 @ SV1214 ) )
= $true )
| ( ( SV779 = SV1985 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3773]) ).
thf(4144,plain,
! [SV2272: $i,SV1986: $i,SV1622: $i,SV1215: $i,SV780: $i,SV339: $i] :
( ( ! [SY9535: $i,SY9536: $i] :
( ( c_Expr_Oexp_OBinOp @ SV339 @ SV780 @ SV1215 @ SV1622 )
!= ( c_Expr_Oexp_OTryCatch @ SV1986 @ SV2272 @ SY9535 @ SY9536 @ SV1622 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3774]) ).
thf(4145,plain,
! [SV1987: $i,SV1623: $i,SV1216: $i,SV781: $i,SV340: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV340 @ SV781 @ SV1216 )
= ( c_Expr_Oexp_OSeq @ SV1623 @ SV1987 @ SV1216 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3775]) ).
thf(4146,plain,
! [SV2273: $i,SV1988: $i,SV1624: $i,SV1219: $i,SV784: $i,SV343: $i] :
( ( ! [SY9537: $i] :
( ( c_Expr_Oexp_OSeq @ SV343 @ SV784 @ SV1219 )
!= ( c_Expr_Oexp_OFAss @ SV1624 @ SV1988 @ SV2273 @ SY9537 @ SV1219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3776]) ).
thf(4147,plain,
! [SV2274: $i,SV1989: $i,SV1625: $i,SV1220: $i,SV785: $i,SV344: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ SV344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV785 @ SV1220 @ SV1625 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1989 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV344 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1989 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2274 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3777]) ).
thf(4148,plain,
! [SV2275: $i,SV1990: $i,SV1626: $i,SV1221: $i,SV786: $i,SV345: $i] :
( ( ! [SY9538: $i,SY9539: $i] :
( ( c_Expr_Oexp_OFAss @ SV345 @ SV786 @ SV1221 @ SV1626 @ SV1990 )
!= ( c_Expr_Oexp_OBinOp @ SV2275 @ SY9538 @ SY9539 @ SV1990 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3778]) ).
thf(4149,plain,
! [SV2276: $i,SV1991: $i,SV1627: $i,SV1222: $i,SV787: $i,SV346: $i] :
( ( ! [SY9540: $i] :
( ( c_Expr_Oexp_OWhile @ SV346 @ SV787 @ SV1222 )
!= ( c_Expr_Oexp_OFAss @ SV1627 @ SV1991 @ SV2276 @ SY9540 @ SV1222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3779]) ).
thf(4150,plain,
! [SV1992: $i,SV1628: $i,SV1223: $i,SV788: $i,SV347: $i] :
( ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SV1992 @ tc_Value_Oval @ tc_Type_Oty )
= $true )
| ( ( ! [SY9225: $i] :
( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV347 @ SV1223 ) @ SY9225 @ SV1992 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SY9225 @ tc_Value_Oval @ tc_Type_Oty ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3780]) ).
thf(4151,plain,
! [SV1224: $i,SV789: $i,SV1993: $i,SV348: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV348 @ SV1993 @ SV789 ) @ c_Value_Oval_ONull ) @ SV1224 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV348 @ SV789 ) @ c_Type_Oty_ONT ) @ SV1224 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3781]) ).
thf(4152,plain,
! [SV790: $i,SV1629: $i,SV1225: $i,SV349: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV349 @ SV1225 ) @ c_Type_Oty_ONT ) @ SV1629 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV349 @ SV790 @ SV1225 ) @ c_Value_Oval_ONull ) @ SV1629 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3782]) ).
thf(4153,plain,
! [SV1994: $i,SV1630: $i,SV1226: $i,SV791: $i,SV350: $i] :
( ( ( ( c_Expr_Oexp_OSeq @ SV350 @ SV791 @ SV1226 )
!= ( c_Expr_Oexp_OSeq @ SV1630 @ SV1994 @ SV1226 ) )
= $true )
| ( ( SV791 = SV1994 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3783]) ).
thf(4154,plain,
! [SV2277: $i,SV1631: $i,SV1227: $i,SV792: $i,SV351: $i] :
( ( ( ( c_Expr_Oexp_OSeq @ SV351 @ SV792 @ SV1227 )
!= ( c_Expr_Oexp_OSeq @ SV1631 @ SV2277 @ SV1227 ) )
= $true )
| ( ( SV351 = SV1631 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3784]) ).
thf(4155,plain,
! [SV2278: $i,SV1995: $i,SV1633: $i,SV1229: $i,SV794: $i,SV353: $i] :
( ( ! [SY9541: $i,SY9542: $i] :
( ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ SV1633 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV1995 @ SV1229 @ SV353 @ SV2278 @ SY9541 @ SV1633 @ SY9542 @ SV794 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ ( c_Expr_Oexp_OTryCatch @ SV1633 @ SV1995 @ SY9541 @ SY9542 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3786]) ).
thf(4156,plain,
! [SV1996: $i,SV1634: $i,SV1230: $i,SV795: $i,SV354: $i] :
( ( ( c_Objects_Ohext @ SV354 @ SV795 )
= $true )
| ( ( ! [SY9229: $i,SY9230: $i] :
~ ( c_BigStep_Oevals @ SV1230 @ SV1634 @ ( c_Pair @ SV354 @ SV1996 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SY9229 @ ( c_Pair @ SV795 @ SY9230 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3787]) ).
thf(4157,plain,
! [SV2279: $i,SV1997: $i,SV1231: $i,SV796: $i,SV355: $i] :
( ( ( ~ ( c_WellType_OWT @ SV355 @ SV796 @ ( c_Expr_Oexp_OWhile @ SV1231 @ SV1997 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2279 ) )
= $true )
| ( ( c_WellType_OWT @ SV355 @ SV796 @ SV1231 @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3788]) ).
thf(4158,plain,
! [SV1998: $i,SV1635: $i,SV1232: $i,SV797: $i,SV356: $i] :
( ( ( SV356
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1232 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) ) )
| ! [SY9232: $i] :
~ ( c_WellType_OWT @ SV1232 @ SV797 @ ( c_Expr_Oexp_OCond @ SY9232 @ SV1635 @ SV1998 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV356 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3789]) ).
thf(4159,plain,
! [SV2280: $i,SV1999: $i,SV1636: $i,SV1233: $i,SV798: $i,SV357: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
| ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2280 @ SV1233 )
| ! [SY9543: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9543 @ SV798 )
| ! [SY9544: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9544 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SY9544 @ SY9543 @ SV2280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3790]) ).
thf(4160,plain,
! [SV2281: $i,SV2000: $i,SV1637: $i,SV1234: $i,SV799: $i,SV358: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
| ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2281 @ SV1234 )
| ! [SY9545: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9545 @ SV799 )
| ! [SY9546: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9546 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SY9546 @ SY9545 @ SV2281 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3791]) ).
thf(4161,plain,
! [SV2001: $i,SV1638: $i,SV1235: $i,SV800: $i,SV359: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV800 @ SV1235 ) @ SV1638 ) @ SV2001 ) )
= $true )
| ( ( ! [SY9239: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SY9239 @ SV1235 ) @ SV1638 ) @ SV2001 ) )
| ~ ( c_Objects_Ohext @ SY9239 @ SV800 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3792]) ).
thf(4162,plain,
! [SV2002: $i,SV1639: $i,SV1236: $i,SV801: $i,SV361: $i] :
( ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV801 @ SV1236 ) @ SV1639 @ SV2002 @ tc_Value_Oval @ tc_Type_Oty )
= $true )
| ( ( ! [SY9240: $i] :
( ~ ( c_Objects_Ohext @ SY9240 @ SV801 )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SY9240 @ SV1236 ) @ SV1639 @ SV2002 @ tc_Value_Oval @ tc_Type_Oty ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3793]) ).
thf(4163,plain,
! [SV362: $i,SV802: $i,SV1640: $i] :
( ( ( c_Objects_Ohext @ SV1640 @ SV802 )
= $false )
| ( ( ~ ( c_Objects_Ohext @ SV362 @ SV1640 ) )
= $true )
| ( ( c_Objects_Ohext @ SV362 @ SV802 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3794]) ).
thf(4164,plain,
! [SV2282: $i,SV2003: $i,SV1641: $i,SV1238: $i,SV804: $i,SV364: $i] :
( ( c_SmallStep_Oredp @ SV364 @ ( c_Expr_Oexp_OTryCatch @ ( c_Expr_Oexp_OVal @ SV804 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1238 @ SV1641 @ SV2003 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2282 @ ( c_Expr_Oexp_OVal @ SV804 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2282 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3795]) ).
thf(4165,plain,
! [SV2283: $i,SV1642: $i,SV1239: $i,SV805: $i,SV365: $i] :
( ( ( ! [SY9547: $i] :
~ ( c_WellType_OWT @ SV365 @ SV805 @ ( c_Expr_Oexp_OCond @ SV1239 @ SV1642 @ SV2283 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9547 ) )
= $true )
| ( ( c_WellType_OWT @ SV365 @ SV805 @ SV1239 @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3796]) ).
thf(4166,plain,
! [SV2284: $i,SV2004: $i,SV1643: $i,SV1240: $i,SV806: $i,SV366: $i] :
( ( ! [SY9548: $i,SY9549: $i] :
( ( c_Expr_Oexp_OCond @ SV366 @ SV806 @ SV1240 @ SV1643 )
!= ( c_Expr_Oexp_OTryCatch @ SV2004 @ SV2284 @ SY9548 @ SY9549 @ SV1643 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3797]) ).
thf(4167,plain,
! [SV2005: $i,SV1645: $i,SV1241: $i,SV808: $i,SV368: $i] :
( ( ( c_Expr_Oexp_OVal @ SV368 @ SV808 )
= ( c_Expr_Oexp_OCond @ SV1241 @ SV1645 @ SV2005 @ SV808 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3799]) ).
thf(4168,plain,
! [SV2006: $i,SV1646: $i,SV1242: $i,SV810: $i,SV370: $i] :
( ( ( c_Decl_Ois__class @ SV370 @ SV810 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $true )
| ( ( ! [SY9245: $i,SY9246: $i] :
~ ( c_WellType_OWT @ SV370 @ SV1242 @ ( c_Expr_Oexp_OTryCatch @ SV1646 @ SV810 @ SV2006 @ SY9245 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9246 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3800]) ).
thf(4169,plain,
! [SV2285: $i,SV2007: $i,SV1647: $i,SV1243: $i,SV811: $i,SV371: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ SV1647 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV1243 @ SV371 @ SV2007 @ SV2285 @ SV1647 @ SV811 ) )
| ! [SY9550: $i] :
~ ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ ( c_Expr_Oexp_OCond @ SY9550 @ SV2285 @ SV1647 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2007 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3801]) ).
thf(4170,plain,
! [SV2286: $i,SV2008: $i,SV1648: $i,SV1244: $i,SV812: $i,SV372: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ SV1648 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV1244 @ SV372 @ SV2008 @ SV1648 @ SV2286 @ SV812 ) )
| ! [SY9551: $i] :
~ ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ ( c_Expr_Oexp_OCond @ SY9551 @ SV1648 @ SV2286 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2008 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3802]) ).
thf(4171,plain,
! [SV1245: $i,SV1649: $i,SV813: $i,SV2287: $i,SV373: $i] :
( ( ( ! [SY9552: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV373 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2287 ) @ SY9552 ) )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1649 @ SY9552 )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1245 @ SV2287 ) ) )
= $true )
| ( ( c_WellType_OWT @ SV373 @ SV813 @ ( c_Expr_Oexp_OBinOp @ SV1245 @ c_Expr_Obop_OEq @ SV1649 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3803]) ).
thf(4172,plain,
! [SV1246: $i,SV1650: $i,SV814: $i,SV2288: $i,SV374: $i] :
( ( ( ! [SY9553: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV374 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2288 ) @ SY9553 ) )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1650 @ SV2288 )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1246 @ SY9553 ) ) )
= $true )
| ( ( c_WellType_OWT @ SV374 @ SV814 @ ( c_Expr_Oexp_OBinOp @ SV1246 @ c_Expr_Obop_OEq @ SV1650 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3804]) ).
thf(4173,plain,
! [SV2009: $i,SV1651: $i,SV1247: $i,SV815: $i,SV375: $i] :
( ( ( c_Expr_Oexp_OCond @ SV375 @ SV815 @ SV1247 @ SV1651 )
= ( c_Expr_Oexp_OVal @ SV2009 @ SV1651 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3805]) ).
thf(4174,plain,
! [SV2289: $i,SV2010: $i,SV1652: $i,SV1248: $i,SV816: $i,SV376: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV376 @ SV816 @ SV1248 )
!= ( c_Expr_Oexp_OCond @ SV1652 @ SV2010 @ SV2289 @ SV1248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3806]) ).
thf(4175,plain,
! [SV2290: $i,SV2011: $i,SV1653: $i,SV1249: $i,SV817: $i,SV377: $i] :
( ( ( SV377
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1249 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) ) )
| ! [SY9554: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1249 @ SV2290 @ SV817 @ ( c_Expr_Oexp_OCond @ SY9554 @ SV1653 @ SV2011 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV377 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3807]) ).
thf(4176,plain,
! [SV1654: $i,SV1250: $i,SV818: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) )
= $false )
| ( ( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SV1654 @ SV818 )
| ! [SY8650: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY8650 @ SV818 )
| ! [SY8651: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY8651 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV378 @ SV1250 @ ( c_Expr_Oexp_OCond @ SY8651 @ SY8650 @ SV1654 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3808]) ).
thf(4177,plain,
! [SV380: $i,SV1655: $i,SV1252: $i,SV820: $i,SV2291: $i] :
( ( ( ~ ( c_Map_Omap__le @ SV2291 @ SV820 @ SV1252 @ SV1655 )
| ~ ( c_Map_Omap__le @ SV380 @ SV2291 @ SV1252 @ SV1655 ) )
= $true )
| ( ( c_Map_Omap__le @ SV380 @ SV820 @ SV1252 @ SV1655 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3809]) ).
thf(4178,plain,
! [SV1656: $i,SV1253: $i,SV381: $i,SV821: $i,SV2292: $i] :
( ( ( ~ ( c_Map_Omap__le @ SV2292 @ SV821 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellType_OWT @ SV381 @ SV2292 @ SV1253 @ SV1656 ) )
= $true )
| ( ( c_WellType_OWT @ SV381 @ SV821 @ SV1253 @ SV1656 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3810]) ).
thf(4179,plain,
! [SV2012: $i,SV1657: $i,SV1254: $i,SV822: $i,SV382: $i] :
( ( ( c_Objects_Ohext @ SV382 @ SV822 )
= $true )
| ( ( ! [SY9254: $i,SY9255: $i] :
~ ( c_BigStep_Oeval @ SV1254 @ SV1657 @ ( c_Pair @ SV382 @ SV2012 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SY9254 @ ( c_Pair @ SV822 @ SY9255 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3811]) ).
thf(4180,plain,
! [SV2013: $i,SV1658: $i,SV1255: $i,SV823: $i,SV383: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) ) )
= $true )
| ( ( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2013 @ SV823 )
| ! [SY9256: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9256 @ SV823 )
| ! [SY9257: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9257 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ ( c_Expr_Oexp_OCond @ SY9257 @ SY9256 @ SV2013 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3812]) ).
thf(4181,plain,
! [SV2014: $i,SV1659: $i,SV1256: $i,SV824: $i,SV384: $i] :
( ( ( c_WellType_OWT @ SV384 @ SV824 @ SV1256 @ SV1659 )
= $true )
| ( ( ! [SY9258: $i,SY9259: $i] :
~ ( c_WellType_OWT @ SV384 @ SV824 @ ( c_Expr_Oexp_OTryCatch @ SV1256 @ SV2014 @ SY9258 @ SY9259 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1659 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3813]) ).
thf(4182,plain,
! [SV2015: $i,SV1660: $i,SV1257: $i,SV825: $i,SV385: $i] :
( ( ( ! [SY9260: $i,SY9261: $i] : ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ ( c_Expr_Oexp_OFAcc @ SV1660 @ SV2015 @ SY9260 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9261 ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ SV1660 @ c_Type_Oty_ONT ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3814]) ).
thf(4183,plain,
! [SV2293: $i,SV2016: $i,SV1661: $i,SV1258: $i,SV826: $i,SV386: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) )
| ! [SY9555: $i] :
~ ( c_WellTypeRT_OWTrt @ SV386 @ SV2293 @ SV826 @ ( c_Expr_Oexp_OCond @ SY9555 @ SV1661 @ SV2016 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1258 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3815]) ).
thf(4184,plain,
! [SV2017: $i,SV1662: $i,SV1259: $i,SV827: $i,SV387: $i] :
( ( ( ! [SY9264: $i,SY9265: $i] : ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ ( c_Expr_Oexp_OFAcc @ SV1662 @ SV2017 @ SY9264 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9265 ) )
= $true )
| ( ( ~ ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ SV1662 @ c_Type_Oty_ONT ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3816]) ).
thf(4185,plain,
! [SV2294: $i,SV1663: $i,SV1260: $i,SV828: $i,SV388: $i] :
( ( ( ! [SY9556: $i] :
~ ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SV1260 @ ( c_Expr_Oexp_OWhile @ SV1663 @ SV2294 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9556 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SV1260 @ SV1663 @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3817]) ).
thf(4186,plain,
! [SV2295: $i,SV2018: $i,SV1664: $i,SV1261: $i,SV829: $i,SV389: $i] :
( ( ( c_Expr_Oexp_OCond @ SV389 @ SV829 @ SV1261 @ SV1664 )
!= ( c_Expr_Oexp_OSeq @ SV2018 @ SV2295 @ SV1664 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3818]) ).
thf(4187,plain,
! [SV2019: $i,SV1666: $i,SV1263: $i,SV831: $i,SV391: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV391 @ SV831 ) @ ( c_Conform_Osko__Conform__Xconf__def__1__1 @ SV391 @ SV1263 @ SV1666 @ SV2019 @ SV831 ) ) @ SV1263 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV391 @ SV1666 @ SV831 ) @ SV2019 ) @ SV1263 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3819]) ).
thf(4188,plain,
! [SV2296: $i,SV2020: $i,SV1667: $i,SV1264: $i,SV832: $i,SV392: $i] :
( ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ ( c_List_Olist_OCons @ SV1264 @ SV1667 @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ SV2020 @ SV2296 @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1667 @ SV2296 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1264 ) @ SV2020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3820]) ).
thf(4189,plain,
! [SV2021: $i,SV1668: $i,SV393: $i,SV833: $i] :
( ( ( ~ ( c_Map_Omap__le @ SV833 @ SV393 @ SV1668 @ SV2021 ) )
= $true )
| ( ( ~ ( c_Map_Omap__le @ SV393 @ SV833 @ SV1668 @ SV2021 ) )
= $true )
| ( ( SV393 = SV833 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3821]) ).
thf(4190,plain,
! [SV2297: $i,SV2022: $i,SV1669: $i,SV1265: $i,SV834: $i,SV394: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV394 @ SV834 @ SV1265 @ SV1669 @ SV2022 )
!= ( c_Expr_Oexp_OVal @ SV2297 @ SV2022 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3822]) ).
thf(4191,plain,
! [SV395: $i,SV2023: $i,SV1670: $i,SV835: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV835 @ SV1670 @ SV2023 ) @ SV395 ) @ c_Type_Oty_ONT ) )
= $false )
| ( ( SV395 = c_Value_Oval_ONull )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3823]) ).
thf(4192,plain,
! [SV2298: $i,SV2024: $i,SV1671: $i,SV1266: $i,SV836: $i,SV396: $i] :
( ( ! [SY9557: $i,SY9558: $i] :
( ( c_BigStep_Oeval @ SV396 @ ( c_Expr_Oexp_OTryCatch @ SV836 @ SV1266 @ SV1671 @ SV2024 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2298 @ ( c_Expr_Oexp_OVal @ SY9557 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9558 )
| ~ ( c_BigStep_Oeval @ SV396 @ SV836 @ SV2298 @ ( c_Expr_Oexp_OVal @ SY9557 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3824]) ).
thf(4193,plain,
! [SV2299: $i,SV2025: $i,SV1672: $i,SV1267: $i,SV837: $i,SV397: $i] :
( ( ! [SY9559: $i,SY9560: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV397 @ SV837 @ SV1267 @ SV1672 @ SV2025 )
!= ( c_Expr_Oexp_OCond @ SV2299 @ SY9559 @ SY9560 @ SV2025 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3825]) ).
thf(4194,plain,
! [SV2026: $i,SV1673: $i,SV1268: $i,SV838: $i,SV398: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) ) )
= $true )
| ( ( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SV2026 @ SV1268 )
| ! [SY9275: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9275 @ SV838 )
| ! [SY9276: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9276 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SY9276 @ SY9275 @ SV2026 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3826]) ).
thf(4195,plain,
! [SV2027: $i,SV1674: $i,SV1269: $i,SV839: $i,SV399: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
| ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SV2027 @ SV1269 )
| ! [SY9277: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9277 @ SV839 )
| ! [SY9278: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9278 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SY9278 @ SY9277 @ SV2027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3827]) ).
thf(4196,plain,
! [SV2300: $i,SV2028: $i,SV1675: $i,SV1270: $i,SV840: $i,SV400: $i] :
( ( ( c_BigStep_Oeval @ SV400 @ ( c_Expr_Oexp_OSeq @ SV840 @ SV1270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1675 @ SV2028 @ SV2300 )
| ! [SY9561: $i] :
( ~ ( c_BigStep_Oeval @ SV400 @ SV1270 @ SY9561 @ SV2028 @ SV2300 )
| ! [SY8700: $i] :
~ ( c_BigStep_Oeval @ SV400 @ SV840 @ SV1675 @ ( c_Expr_Oexp_OVal @ SY8700 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9561 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3828]) ).
thf(4197,plain,
! [SV2301: $i,SV2029: $i,SV1676: $i,SV1271: $i,SV841: $i,SV401: $i] :
( ( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ ( c_Expr_Oexp_OSeq @ SV1676 @ SV2029 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2301 )
| ~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV2029 @ SV2301 )
| ! [SY8703: $i] :
~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV1676 @ SY8703 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3829]) ).
thf(4198,plain,
! [SV2030: $i,SV1677: $i,SV1272: $i,SV842: $i,SV402: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ SV1677 @ c_Type_Oty_OBoolean )
= $true )
| ( ( ! [SY9284: $i,SY9285: $i] :
~ ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ ( c_Expr_Oexp_OCond @ SV1677 @ SV2030 @ SY9284 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9285 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3830]) ).
thf(4199,plain,
! [SV2031: $i,SV1678: $i,SV1273: $i,SV843: $i,SV403: $i] :
( ( ( c_WellType_OWT @ SV403 @ SV843 @ SV1273 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV843 @ SV403 @ SV1678 @ SV2031 @ SV1273 ) )
= $true )
| ( ( ! [SY9286: $i] :
~ ( c_WellType_OWT @ SV403 @ SV843 @ ( c_Expr_Oexp_OCond @ SY9286 @ SV2031 @ SV1273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1678 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3831]) ).
thf(4200,plain,
! [SV2032: $i,SV1679: $i,SV1274: $i,SV844: $i,SV404: $i] :
( ( ( c_WellType_OWT @ SV404 @ SV844 @ SV1274 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV844 @ SV404 @ SV1679 @ SV1274 @ SV2032 ) )
= $true )
| ( ( ! [SY9287: $i] :
~ ( c_WellType_OWT @ SV404 @ SV844 @ ( c_Expr_Oexp_OCond @ SY9287 @ SV1274 @ SV2032 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1679 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3832]) ).
thf(4201,plain,
! [SV2033: $i,SV1680: $i,SV1275: $i,SV845: $i,SV405: $i] :
( ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV405 @ SV845 ) @ ( c_Conform_Osko__Conform__Xconfs__conv__map__1__1 @ SV405 @ SV1275 @ SV1680 @ SV2033 @ SV845 ) @ SV1275 @ tc_Type_Oty @ tc_Type_Oty )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV405 @ SV1680 @ SV845 ) @ SV2033 @ SV1275 @ tc_Value_Oval @ tc_Type_Oty ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3833]) ).
thf(4202,plain,
! [SV2302: $i,SV2034: $i,SV1681: $i,SV1276: $i,SV846: $i,SV406: $i] :
( ( ( SV406
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1276 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) ) )
| ! [SY9564: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1276 @ SV2302 @ SV846 @ ( c_Expr_Oexp_OCond @ SY9564 @ SV1681 @ SV2034 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV406 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3834]) ).
thf(4203,plain,
! [SV2035: $i,SV1682: $i,SV1277: $i,SV847: $i,SV407: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) )
| ! [SY9290: $i] :
~ ( c_WellType_OWT @ SV407 @ SV847 @ ( c_Expr_Oexp_OCond @ SY9290 @ SV1682 @ SV2035 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1277 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3835]) ).
thf(4204,plain,
! [SV2036: $i,SV1683: $i,SV1278: $i,SV848: $i,SV408: $i] :
( ( ( ! [SY9291: $i] :
( ( c_Pair @ SV408 @ SV848 @ SV1278 @ SV1683 )
!= ( c_Pair @ SV2036 @ SY9291 @ SV1278 @ SV1683 ) ) )
= $true )
| ( ( SV408 = SV2036 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3836]) ).
thf(4205,plain,
! [SV2303: $i,SV2037: $i,SV1684: $i,SV1279: $i,SV849: $i,SV409: $i] :
( ( ( ( c_Pair @ SV409 @ SV849 @ SV1279 @ SV1684 )
!= ( c_Pair @ SV2037 @ SV2303 @ SV1279 @ SV1684 ) )
| ( SV849 = SV2303 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3837]) ).
thf(4206,plain,
! [SV2304: $i,SV2038: $i,SV1685: $i,SV1280: $i,SV850: $i,SV410: $i] :
( ( ( c_Expr_Oexp_OVal @ SV410 @ SV850 )
!= ( c_Expr_Oexp_OTryCatch @ SV1280 @ SV1685 @ SV2038 @ SV2304 @ SV850 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3838]) ).
thf(4207,plain,
! [SV2039: $i,SV1686: $i,SV1281: $i,SV851: $i,SV411: $i] :
( ( ( c_WellType_OWT @ SV411 @ SV851 @ ( c_Expr_Oexp_OSeq @ SV1281 @ SV1686 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2039 )
= $true )
| ( ( ~ ( c_WellType_OWT @ SV411 @ SV851 @ SV1686 @ SV2039 )
| ! [SY7788: $i] :
~ ( c_WellType_OWT @ SV411 @ SV851 @ SV1281 @ SY7788 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3839]) ).
thf(4208,plain,
! [SV2305: $i,SV2040: $i,SV1687: $i,SV1282: $i,SV852: $i,SV412: $i] :
( ( ! [SY9565: $i] :
( ( ( c_Expr_Oexp_OCond @ SV412 @ SV852 @ SV1282 @ SV1687 )
!= ( c_Expr_Oexp_OCond @ SV2040 @ SV2305 @ SY9565 @ SV1687 ) )
| ( SV1282 = SY9565 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3840]) ).
thf(4209,plain,
! [SV2306: $i,SV2041: $i,SV1688: $i,SV1283: $i,SV853: $i,SV413: $i] :
( ( ! [SY9566: $i] :
( ( c_Expr_Oexp_OCond @ SV413 @ SV853 @ SV1283 @ SV1688 )
!= ( c_Expr_Oexp_OCond @ SV2041 @ SV2306 @ SY9566 @ SV1688 ) )
| ( SV853 = SV2306 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3841]) ).
thf(4210,plain,
! [SV2042: $i,SV1689: $i,SV1284: $i,SV854: $i,SV414: $i] :
( ( ( ! [SY9299: $i,SY9300: $i] :
( ( c_Expr_Oexp_OCond @ SV414 @ SV854 @ SV1284 @ SV1689 )
!= ( c_Expr_Oexp_OCond @ SV2042 @ SY9299 @ SY9300 @ SV1689 ) ) )
= $true )
| ( ( SV414 = SV2042 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3842]) ).
thf(4211,plain,
! [SV2043: $i,SV1690: $i,SV1285: $i,SV855: $i,SV415: $i] :
( ( ( SV415
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1285 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) ) )
| ! [SY9301: $i] :
~ ( c_WellType_OWT @ SV1285 @ SV855 @ ( c_Expr_Oexp_OCond @ SY9301 @ SV1690 @ SV2043 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV415 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3843]) ).
thf(4212,plain,
! [SV2307: $i,SV2044: $i,SV1691: $i,SV1286: $i,SV856: $i,SV416: $i] :
( ( ! [SY9567: $i,SY9568: $i,SY9569: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV416 @ SV856 @ SV1286 @ SV1691 @ SV2044 )
!= ( c_Expr_Oexp_OTryCatch @ SV2307 @ SY9567 @ SY9568 @ SY9569 @ SV2044 ) )
| ( SV1691 = SY9569 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3844]) ).
thf(4213,plain,
! [SV2308: $i,SV2045: $i,SV1692: $i,SV1287: $i,SV857: $i,SV417: $i] :
( ( ! [SY9570: $i,SY9571: $i] :
( ! [SY9572: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV417 @ SV857 @ SV1287 @ SV1692 @ SV2045 )
!= ( c_Expr_Oexp_OTryCatch @ SV2308 @ SY9570 @ SY9571 @ SY9572 @ SV2045 ) )
| ( SV1287 = SY9571 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3845]) ).
thf(4214,plain,
! [SV2309: $i,SV2046: $i,SV1693: $i,SV1288: $i,SV858: $i,SV418: $i] :
( ( ! [SY9573: $i] :
( ! [SY9574: $i,SY9575: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV418 @ SV858 @ SV1288 @ SV1693 @ SV2046 )
!= ( c_Expr_Oexp_OTryCatch @ SV2309 @ SY9573 @ SY9574 @ SY9575 @ SV2046 ) )
| ( SV858 = SY9573 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3846]) ).
thf(4215,plain,
! [SV2310: $i,SV2047: $i,SV1694: $i,SV1289: $i,SV859: $i,SV419: $i] :
( ( ! [SY9576: $i] :
( ! [SY9577: $i,SY9578: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV419 @ SV859 @ SV1289 @ SV1694 @ SV2047 )
!= ( c_Expr_Oexp_OTryCatch @ SV2310 @ SY9576 @ SY9577 @ SY9578 @ SV2047 ) )
| ( SV419 = SV2310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3847]) ).
thf(4216,plain,
! [SV2311: $i,SV2048: $i,SV1696: $i,SV1292: $i,SV863: $i,SV423: $i] :
( ( ! [SY9579: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV423 @ SV863 @ SV1292 @ SV1696 @ SV2048 )
!= ( c_Expr_Oexp_OSeq @ SV2311 @ SY9579 @ SV2048 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3849]) ).
thf(4217,plain,
! [SV2312: $i,SV2049: $i,SV1697: $i,SV1293: $i,SV864: $i,SV424: $i] :
( ( ! [SY9580: $i] :
( ( c_Expr_Oexp_OSeq @ SV424 @ SV864 @ SV1293 )
!= ( c_Expr_Oexp_OTryCatch @ SV1697 @ SV2049 @ SV2312 @ SY9580 @ SV1293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3850]) ).
thf(4218,plain,
! [SV866: $i,SV426: $i] :
( ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV426 @ ( 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____ @ SV426 @ v_e_092_060_094isub_0622____ @ SV866 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV426 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ SV426 @ v_P @ SV866 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3852]) ).
thf(4219,plain,
! [SV867: $i,SV427: $i] :
( ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV427 @ ( 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____ @ SV427 @ v_e_092_060_094isub_0622____ @ SV867 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XIH__1 @ SV427 @ v_P @ SV867 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV867 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3853]) ).
thf(4220,plain,
! [SV868: $i,SV428: $i] :
( ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV428 @ ( 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____ @ SV428 @ v_e_092_060_094isub_0622____ @ SV868 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV428 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XFAssRed2__2__1 @ SV428 @ v_P @ SV868 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3854]) ).
thf(4221,plain,
! [SV869: $i,SV429: $i] :
( ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV429 @ ( 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____ @ SV429 @ v_e_092_060_094isub_0622____ @ SV869 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__Xhyps__2__1 @ SV429 @ v_P @ SV869 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV869 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3855]) ).
thf(4222,plain,
! [SV2313: $i,SV2050: $i,SV1698: $i,SV1295: $i,SV870: $i,SV430: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ ( c_Expr_Oexp_OSeq @ SV1698 @ SV2050 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2313 )
| ~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV2050 @ SV2313 )
| ! [SY8764: $i] :
~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV1698 @ SY8764 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3856]) ).
thf(4223,plain,
! [SV871: $i,SV431: $i] :
( ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV431 @ ( 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____ @ SV431 @ v_e_092_060_094isub_0622____ @ SV871 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XFAssRed2__2__1 @ SV431 @ v_P @ SV871 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) ) @ SV871 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3857]) ).
thf(4224,plain,
! [SV2051: $i,SV1699: $i,SV1296: $i,SV872: $i,SV432: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2051 @ SV872 )
| ! [SY9324: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9324 @ SV872 )
| ! [SY9325: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9325 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ ( c_Expr_Oexp_OCond @ SY9325 @ SY9324 @ SV2051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3858]) ).
thf(4225,plain,
! [SV873: $i,SV433: $i] :
( ( ( c_TypeSafe__Mirabelle_Osconf @ v_P @ SV433 @ ( 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____ @ SV433 @ v_e_092_060_094isub_0622____ @ SV873 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ SV433 @ v_e_092_060_094isub_0622_H____ @ ( v_sko__local__XIH__1 @ SV433 @ v_P @ SV873 @ v_e_092_060_094isub_0622_H____ @ v_h_Ha____ ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3859]) ).
thf(4226,plain,
! [SV2052: $i,SV1700: $i,SV1297: $i,SV874: $i,SV434: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SV1297 @ SV1700 @ SV2052 )
= $true )
| ( ( ! [SY9326: $i] :
( ~ ( c_Map_Omap__le @ SY9326 @ SV1297 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SY9326 @ SV1700 @ SV2052 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3860]) ).
thf(4227,plain,
! [SV2053: $i,SV1701: $i,SV1298: $i,SV875: $i,SV435: $i] :
( ( ( c_Progress_OWTrt_H @ SV435 @ SV875 @ SV1298 @ SV1701 @ SV2053 )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV435 @ SV875 @ SV1298 @ SV1701 @ SV2053 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3861]) ).
thf(4228,plain,
! [SV2054: $i,SV1702: $i,SV1299: $i,SV876: $i,SV436: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV436 @ SV876 @ SV1299 @ SV1702 @ SV2054 )
= $true )
| ( ( ~ ( c_Progress_OWTrt_H @ SV436 @ SV876 @ SV1299 @ SV1702 @ SV2054 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3862]) ).
thf(4229,plain,
! [SV2314: $i,SV2055: $i,SV1703: $i,SV1300: $i,SV877: $i,SV437: $i] :
( ( ! [SY9582: $i,SY9583: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV437 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV877 @ SV1300 @ SV437 @ SV1703 @ SV2055 @ SV2314 @ SY9582 @ SY9583 ) ) @ SV1703 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV437 @ SY9583 @ SV1300 @ ( c_Expr_Oexp_OTryCatch @ SV2314 @ SV877 @ SV2055 @ SY9582 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3863]) ).
thf(4230,plain,
! [SV1302: $i,SV1704: $i,SV2315: $i,SV879: $i,SV439: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV2315 ) @ SV1704 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SV2315 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SV1704 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3864]) ).
thf(4231,plain,
! [SV2056: $i,SV1705: $i,SV1303: $i,SV880: $i,SV440: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SV2056 ) )
= $true )
| ( ( ! [SY9330: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV440 @ SV1303 ) @ SY9330 ) @ SV2056 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SY9330 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3865]) ).
thf(4232,plain,
! [SV2057: $i,SV1706: $i,SV1304: $i,SV881: $i,SV441: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV441 @ SV881 @ SV1304 @ SV1706 @ SV2057 )
= $true )
| ( ( ~ ( c_WellType_OWT @ SV441 @ SV1304 @ SV1706 @ SV2057 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3866]) ).
thf(4233,plain,
! [SV2058: $i,SV1707: $i,SV1305: $i,SV882: $i,SV442: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV442 @ SV882 @ SV1305 @ SV1707 @ SV2058 )
= $true )
| ( ( ! [SY9331: $i] :
( ~ ( c_Objects_Ohext @ SY9331 @ SV882 )
| ~ ( c_WellTypeRT_OWTrt @ SV442 @ SY9331 @ SV1305 @ SV1707 @ SV2058 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3867]) ).
thf(4234,plain,
! [SV2316: $i,SV2059: $i,SV1708: $i,SV1306: $i,SV883: $i,SV443: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2316 @ SV1306 )
| ! [SY9584: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9584 @ SV883 )
| ! [SY9585: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9585 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SY9585 @ SY9584 @ SV2316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3868]) ).
thf(4235,plain,
! [SV2317: $i,SV2060: $i,SV1709: $i,SV1307: $i,SV884: $i,SV444: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2317 @ SV1307 )
| ! [SY9586: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9586 @ SV884 )
| ! [SY9587: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9587 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SY9587 @ SY9586 @ SV2317 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3869]) ).
thf(4236,plain,
! [SV1308: $i,SV1710: $i,SV2318: $i,SV886: $i,SV445: $i] :
( ( ( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV2318 @ SV1710 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SV2318 @ tc_Type_Oty @ tc_Type_Oty ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SV1710 @ tc_Type_Oty @ tc_Type_Oty )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3871]) ).
thf(4237,plain,
! [SV1712: $i,SV1310: $i,SV890: $i,SV450: $i,SV1: $i] :
( ( ( c_BigStep_Oeval @ SV1 @ SV450 @ SV890 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1310 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1712 )
= $false )
| ( ( c_BigStep_Oeval @ SV1 @ ( c_Expr_Oexp_Othrow @ SV450 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV890 @ ( c_Expr_Oexp_Othrow @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OAddr @ SV1310 ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1712 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3873]) ).
thf(4238,plain,
! [SV2061: $i,SV1713: $i,SV1311: $i,SV891: $i,SV452: $i,SV3: $i] :
( ( ( c_BigStep_Oeval @ SV3 @ ( c_Expr_Oexp_OWhile @ SV452 @ SV891 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1311 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2061 )
= $true )
| ( ( ! [SY9338: $i] :
( ~ ( c_BigStep_Oeval @ SV3 @ SV891 @ SY9338 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2061 )
| ~ ( c_BigStep_Oeval @ SV3 @ SV452 @ SV1311 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9338 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3874]) ).
thf(4239,plain,
! [SV2319: $i,SV2062: $i,SV1714: $i,SV1312: $i,SV892: $i,SV453: $i,SV6: $i] :
( ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1312 @ SV1714 @ SV2062 )
| ~ ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 @ SV1714 @ SV2062 )
| ! [SY9588: $i] :
( ! [SY9589: $i] :
~ ( c_BigStep_Oeval @ SV6 @ SV892 @ SY9588 @ ( c_Expr_Oexp_OVal @ SY9589 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 )
| ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SV1312 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3875]) ).
thf(4240,plain,
! [SV2320: $i,SV2063: $i,SV1715: $i,SV1314: $i,SV894: $i,SV455: $i,SV8: $i] :
( ( ( c_BigStep_Oeval @ SV8 @ ( c_Expr_Oexp_OCond @ SV455 @ SV894 @ SV1314 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1715 @ SV2063 @ SV2320 )
| ! [SY9590: $i] :
( ~ ( c_BigStep_Oeval @ SV8 @ SV894 @ SY9590 @ SV2063 @ SV2320 )
| ~ ( c_BigStep_Oeval @ SV8 @ SV455 @ SV1715 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9590 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3876]) ).
thf(4241,plain,
! [SV2321: $i,SV2065: $i,SV1719: $i,SV1319: $i,SV899: $i,SV460: $i,SV15: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9591: $i] :
( ! [SY9592: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SY9591 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9592 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9591 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3878]) ).
thf(4242,plain,
! [SV2322: $i,SV2066: $i,SV1720: $i,SV1320: $i,SV900: $i,SV461: $i,SV16: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV16 @ SV461 @ SV900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9593: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV461 @ SY9593 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV16 @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9593 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3879]) ).
thf(4243,plain,
! [SV2067: $i,SV1721: $i,SV1321: $i,SV901: $i,SV462: $i,SV17: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV17 @ SV462 @ SV901 @ SV1321 )
= ( c_Expr_Oexp_OSeq @ SV1721 @ SV2067 @ SV1321 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3880]) ).
thf(4244,plain,
! [SV2068: $i,SV1724: $i,SV1325: $i,SV905: $i,SV466: $i,SV21: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV21 @ SV466 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV905 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1724 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2068 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV466 @ SV905 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1724 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2068 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3882]) ).
thf(4245,plain,
! [SV2323: $i,SV2069: $i,SV1726: $i,SV1328: $i,SV908: $i,SV469: $i,SV24: $i] :
( ( ( c_Expr_Oexp_OCond @ SV24 @ SV469 @ SV908 @ SV1328 )
!= ( c_Expr_Oexp_OBlock @ SV1726 @ SV2069 @ SV2323 @ SV1328 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3884]) ).
thf(4246,plain,
! [SV2070: $i,SV1729: $i,SV1332: $i,SV912: $i,SV473: $i,SV28: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV28 @ SV473 @ SV912 )
= ( c_Expr_Oexp_OBlock @ SV1332 @ SV1729 @ SV2070 @ SV912 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3887]) ).
thf(4247,plain,
! [SV2071: $i,SV1730: $i,SV1333: $i,SV913: $i,SV474: $i,SV29: $i] :
( ( ( c_BigStep_Oeval @ SV29 @ ( c_Expr_Oexp_OSeq @ SV474 @ SV913 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1333 @ ( c_Expr_Oexp_Othrow @ SV1730 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2071 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV29 @ SV474 @ SV1333 @ ( c_Expr_Oexp_Othrow @ SV1730 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2071 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3888]) ).
thf(4248,plain,
! [SV2324: $i,SV2072: $i,SV1731: $i,SV1334: $i,SV914: $i,SV475: $i,SV30: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV30 @ SV475 @ SV914 @ SV1334 )
!= ( c_Expr_Oexp_OCond @ SV1731 @ SV2072 @ SV2324 @ SV1334 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3889]) ).
thf(4249,plain,
! [SV2073: $i,SV1732: $i,SV1335: $i,SV915: $i,SV476: $i,SV31: $i] :
( ( ( c_Expr_Oexp_OCast @ SV31 @ SV476 @ SV915 )
= ( c_Expr_Oexp_OBlock @ SV1335 @ SV1732 @ SV2073 @ SV915 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3890]) ).
thf(4250,plain,
! [SV2074: $i,SV1733: $i,SV1338: $i,SV918: $i,SV479: $i,SV34: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV34 @ SV479 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1338 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1733 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2074 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV479 @ SV918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1338 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1733 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2074 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3893]) ).
thf(4251,plain,
! [SV2075: $i,SV1734: $i,SV1340: $i,SV920: $i,SV481: $i,SV36: $i] :
( ( ( c_Expr_Oexp_OCall @ SV36 @ SV481 @ SV920 @ SV1340 )
= ( c_Expr_Oexp_OLAss @ SV1734 @ SV2075 @ SV1340 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3894]) ).
thf(4252,plain,
! [SV2325: $i,SV2076: $i,SV1735: $i,SV1341: $i,SV921: $i,SV482: $i,SV37: $i] :
( ( ( c_SmallStep_Oredp @ SV37 @ ( c_Expr_Oexp_OCall @ SV482 @ SV921 @ SV1341 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1735 @ ( c_Expr_Oexp_OCall @ SV2076 @ SV921 @ SV1341 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2325 )
| ~ ( c_SmallStep_Oredp @ SV37 @ SV482 @ SV1735 @ SV2076 @ SV2325 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3895]) ).
thf(4253,plain,
! [SV2077: $i,SV1736: $i,SV1342: $i,SV922: $i,SV483: $i,SV38: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV38 @ SV483 @ SV922 @ SV1342 @ SV1736 )
= ( c_Expr_Oexp_Othrow @ SV2077 @ SV1736 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3896]) ).
thf(4254,plain,
! [SV2326: $i,SV2078: $i,SV1737: $i,SV1343: $i,SV923: $i,SV484: $i,SV39: $i] :
( ( ( c_Expr_Oexp_OCast @ SV39 @ SV484 @ SV923 )
!= ( c_Expr_Oexp_OTryCatch @ SV1343 @ SV1737 @ SV2078 @ SV2326 @ SV923 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3897]) ).
thf(4255,plain,
! [SV2079: $i,SV1738: $i,SV1344: $i,SV924: $i,SV485: $i,SV40: $i] :
( ( ( c_SmallStep_Oredp @ SV40 @ ( c_Expr_Oexp_OLAss @ SV485 @ SV924 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1344 @ ( c_Expr_Oexp_OLAss @ SV485 @ SV1738 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2079 )
= $true )
| ( ( ~ ( c_SmallStep_Oredp @ SV40 @ SV924 @ SV1344 @ SV1738 @ SV2079 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3898]) ).
thf(4256,plain,
! [SV2327: $i,SV2080: $i,SV1739: $i,SV1345: $i,SV925: $i,SV486: $i,SV41: $i] :
( ( ! [SY9594: $i] :
( ( c_Expr_Oexp_OFAss @ SV41 @ SV486 @ SV925 @ SV1345 @ SV1739 )
!= ( c_Expr_Oexp_OCall @ SV2080 @ SV2327 @ SY9594 @ SV1739 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3899]) ).
thf(4257,plain,
! [SV1740: $i,SV1346: $i,SV926: $i,SV487: $i,SV42: $i] :
( ( ( c_BigStep_Oeval @ SV42 @ SV487 @ SV926 @ ( c_Expr_Oexp_Othrow @ SV1346 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1740 )
= $false )
| ( ( c_BigStep_Oeval @ SV42 @ ( c_Expr_Oexp_Othrow @ SV487 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV926 @ ( c_Expr_Oexp_Othrow @ SV1346 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1740 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3900]) ).
thf(4258,plain,
! [SV2081: $i,SV1741: $i,SV1347: $i,SV927: $i,SV488: $i,SV43: $i] :
( ( ( c_Expr_Oexp_OCast @ SV43 @ SV488 @ SV927 )
= ( c_Expr_Oexp_OCond @ SV1347 @ SV1741 @ SV2081 @ SV927 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3901]) ).
thf(4259,plain,
! [SV1742: $i,SV1348: $i,SV928: $i,SV489: $i,SV44: $i] :
( ( ( ( c_Expr_Oexp_OLAss @ SV44 @ SV489 @ SV928 )
= ( c_Expr_Oexp_OLAss @ SV1348 @ SV1742 @ SV928 ) )
= $false )
| ( ( SV489 = SV1742 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3902]) ).
thf(4260,plain,
! [SV2082: $i,SV1349: $i,SV929: $i,SV490: $i,SV45: $i] :
( ( ( ( c_Expr_Oexp_OLAss @ SV45 @ SV490 @ SV929 )
= ( c_Expr_Oexp_OLAss @ SV1349 @ SV2082 @ SV929 ) )
= $false )
| ( ( SV45 = SV1349 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3903]) ).
thf(4261,plain,
! [SV2083: $i,SV1743: $i,SV1350: $i,SV930: $i,SV491: $i,SV46: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV46 @ SV491 @ SV930 )
= ( c_Expr_Oexp_OCond @ SV1350 @ SV1743 @ SV2083 @ SV930 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3904]) ).
thf(4262,plain,
! [SV2328: $i,SV2084: $i,SV1744: $i,SV1351: $i,SV931: $i,SV492: $i,SV47: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV47 @ SV492 @ SV931 @ SV1351 @ SV1744 )
!= ( c_Expr_Oexp_OCast @ SV2084 @ SV2328 @ SV1744 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3905]) ).
thf(4263,plain,
! [SV2329: $i,SV2085: $i,SV1745: $i,SV1352: $i,SV932: $i,SV493: $i,SV48: $i] :
( ( ! [SY9595: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV48 @ SV493 @ SV932 @ SV1352 @ SV1745 )
!= ( c_Expr_Oexp_OBlock @ SV2085 @ SV2329 @ SY9595 @ SV1745 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3906]) ).
thf(4264,plain,
! [SV2330: $i,SV2086: $i,SV1747: $i,SV1355: $i,SV935: $i,SV496: $i,SV51: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV51 @ SV496 @ SV935 @ SV1355 )
!= ( c_Expr_Oexp_OCall @ SV1747 @ SV2086 @ SV2330 @ SV1355 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3908]) ).
thf(4265,plain,
! [SV2331: $i,SV2087: $i,SV1748: $i,SV1356: $i,SV936: $i,SV497: $i,SV52: $i] :
( ( ! [SY9596: $i] :
( ( c_BigStep_Oeval @ SV52 @ ( c_Expr_Oexp_OFAss @ SV497 @ SV936 @ SV1356 @ SV1748 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2087 @ ( c_Expr_Oexp_Othrow @ SV2331 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9596 )
| ~ ( c_BigStep_Oeval @ SV52 @ SV497 @ SV2087 @ ( c_Expr_Oexp_Othrow @ SV2331 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9596 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3909]) ).
thf(4266,plain,
! [SV2088: $i,SV1749: $i,SV1357: $i,SV937: $i,SV498: $i,SV53: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV53 @ SV498 @ SV937 @ SV1357 )
= ( c_Expr_Oexp_OCast @ SV1749 @ SV2088 @ SV1357 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3910]) ).
thf(4267,plain,
! [SV2089: $i,SV1750: $i,SV1358: $i,SV938: $i,SV499: $i,SV54: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV54 @ SV499 @ SV938 )
= ( c_Expr_Oexp_OBlock @ SV1358 @ SV1750 @ SV2089 @ SV938 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3911]) ).
thf(4268,plain,
! [SV2332: $i,SV2090: $i,SV1751: $i,SV1361: $i,SV941: $i,SV502: $i,SV57: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV57 @ SV502 @ SV941 @ SV1361 )
!= ( c_Expr_Oexp_OBlock @ SV1751 @ SV2090 @ SV2332 @ SV1361 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3912]) ).
thf(4269,plain,
! [SV2091: $i,SV1752: $i,SV1362: $i,SV942: $i,SV503: $i,SV58: $i] :
( ( ( c_SmallStep_Oredp @ SV58 @ ( c_Expr_Oexp_OCast @ SV503 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1362 @ ( c_Expr_Oexp_OCast @ SV503 @ SV1752 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2091 )
= $true )
| ( ( ~ ( c_SmallStep_Oredp @ SV58 @ SV942 @ SV1362 @ SV1752 @ SV2091 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3913]) ).
thf(4270,plain,
! [SV1753: $i,SV1363: $i,SV2333: $i,SV943: $i,SV504: $i,SV59: $i] :
( ( ( ! [SY9597: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ ( c_List_Olist_OCons @ SV2333 @ SV1363 @ SV504 ) @ ( c_List_Olist_OCons @ SY9597 @ SV1753 @ SV943 ) @ SV504 @ SV943 ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ SV1363 @ SV1753 @ SV504 @ SV943 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3914]) ).
thf(4271,plain,
! [SV2334: $i,SV2092: $i,SV1755: $i,SV1365: $i,SV945: $i,SV506: $i,SV61: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV61 @ SV506 @ SV945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1365 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1755 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2092 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2334 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV61 @ SV1365 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1755 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2092 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2334 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3915]) ).
thf(4272,plain,
! [SV2335: $i,SV2093: $i,SV1756: $i,SV1366: $i,SV946: $i,SV507: $i,SV62: $i] :
( ( ( c_BigStep_Oeval @ SV62 @ ( c_Expr_Oexp_OFAcc @ SV507 @ SV946 @ SV1366 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1756 @ ( c_Expr_Oexp_Othrow @ SV2093 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2335 )
| ~ ( c_BigStep_Oeval @ SV62 @ SV507 @ SV1756 @ ( c_Expr_Oexp_Othrow @ SV2093 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2335 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3916]) ).
thf(4273,plain,
! [SV2094: $i,SV1757: $i,SV1367: $i,SV948: $i,SV509: $i,SV64: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV64 @ SV509 @ SV948 @ SV1367 )
= ( c_Expr_Oexp_OLAss @ SV1757 @ SV2094 @ SV1367 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3917]) ).
thf(4274,plain,
! [SV2336: $i,SV2095: $i,SV1759: $i,SV1369: $i,SV950: $i,SV511: $i,SV66: $i] :
( ( ! [SY9598: $i] :
( ( c_Expr_Oexp_OCall @ SV66 @ SV511 @ SV950 @ SV1369 )
!= ( c_Expr_Oexp_OTryCatch @ SV1759 @ SV2095 @ SV2336 @ SY9598 @ SV1369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3919]) ).
thf(4275,plain,
! [SV2337: $i,SV2096: $i,SV1762: $i,SV1374: $i,SV955: $i,SV516: $i,SV71: $i] :
( ( ( ( c_Expr_Oexp_OBlock @ SV71 @ SV516 @ SV955 @ SV1374 )
!= ( c_Expr_Oexp_OBlock @ SV1762 @ SV2096 @ SV2337 @ SV1374 ) )
| ( SV955 = SV2337 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3922]) ).
thf(4276,plain,
! [SV2097: $i,SV1763: $i,SV1375: $i,SV956: $i,SV517: $i,SV72: $i] :
( ( ( ! [SY9367: $i] :
( ( c_Expr_Oexp_OBlock @ SV72 @ SV517 @ SV956 @ SV1375 )
!= ( c_Expr_Oexp_OBlock @ SV1763 @ SV2097 @ SY9367 @ SV1375 ) ) )
= $true )
| ( ( SV517 = SV2097 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3923]) ).
thf(4277,plain,
! [SV2338: $i,SV1764: $i,SV1376: $i,SV957: $i,SV518: $i,SV73: $i] :
( ( ( ! [SY9599: $i] :
( ( c_Expr_Oexp_OBlock @ SV73 @ SV518 @ SV957 @ SV1376 )
!= ( c_Expr_Oexp_OBlock @ SV1764 @ SV2338 @ SY9599 @ SV1376 ) ) )
= $true )
| ( ( SV73 = SV1764 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3924]) ).
thf(4278,plain,
! [SV2339: $i,SV2098: $i,SV1766: $i,SV1378: $i,SV959: $i,SV520: $i,SV75: $i] :
( ( ! [SY9600: $i] :
( ( c_Expr_Oexp_OBlock @ SV75 @ SV520 @ SV959 @ SV1378 )
!= ( c_Expr_Oexp_OTryCatch @ SV1766 @ SV2098 @ SV2339 @ SY9600 @ SV1378 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3926]) ).
thf(4279,plain,
! [SV76: $i,SV2340: $i,SV521: $i,SV2099: $i,SV1379: $i,SV960: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV960 @ SV1379 @ SV2099 @ ( c_Expr_Oexp_OCast @ SV521 @ SV2340 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV76 ) )
= $true )
| ( ( SV76
= ( c_Type_Oty_OClass @ SV521 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3927]) ).
thf(4280,plain,
! [SV2100: $i,SV1767: $i,SV1380: $i,SV961: $i,SV522: $i,SV77: $i] :
( ( ( c_Expr_Oexp_OCond @ SV77 @ SV522 @ SV961 @ SV1380 )
= ( c_Expr_Oexp_OLAss @ SV1767 @ SV2100 @ SV1380 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3928]) ).
thf(4281,plain,
! [SV2341: $i,SV2101: $i,SV1768: $i,SV1381: $i,SV962: $i,SV523: $i,SV78: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV78 @ SV523 @ SV962 @ SV1381 @ SV1768 )
!= ( c_Expr_Oexp_OLAss @ SV2101 @ SV2341 @ SV1768 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3929]) ).
thf(4282,plain,
! [SV2102: $i,SV1769: $i,SV1382: $i,SV963: $i,SV524: $i,SV79: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV79 @ SV524 @ SV963 )
= ( c_Expr_Oexp_OCall @ SV1382 @ SV1769 @ SV2102 @ SV963 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3930]) ).
thf(4283,plain,
! [SV2342: $i,SV2104: $i,SV526: $i,SV1384: $i,SV965: $i,SV81: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV81 @ SV965 @ SV1384 @ ( c_Expr_Oexp_OCast @ SV526 @ SV2104 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2342 ) )
= $true )
| ( ( c_Decl_Ois__class @ SV81 @ SV526 @ ( 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)],[3932]) ).
thf(4284,plain,
! [SV2105: $i,SV1771: $i,SV1385: $i,SV966: $i,SV527: $i,SV82: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV82 @ SV527 @ SV966 )
= ( c_Expr_Oexp_OCall @ SV1385 @ SV1771 @ SV2105 @ SV966 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3933]) ).
thf(4285,plain,
! [SV2107: $i,SV1773: $i,SV1387: $i,SV968: $i,SV529: $i,SV84: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV84 @ SV529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9373: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV529 @ SY9373 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV84 @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9373 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3935]) ).
thf(4286,plain,
! [SV2108: $i,SV1775: $i,SV1389: $i,SV970: $i,SV531: $i,SV86: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV86 @ SV531 @ SV970 )
= ( c_Expr_Oexp_OBlock @ SV1389 @ SV1775 @ SV2108 @ SV970 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3937]) ).
thf(4287,plain,
! [SV2109: $i,SV1776: $i,SV1390: $i,SV971: $i,SV532: $i,SV87: $i] :
( ( ( c_Expr_Oexp_OCast @ SV87 @ SV532 @ SV971 )
= ( c_Expr_Oexp_OBinOp @ SV1390 @ SV1776 @ SV2109 @ SV971 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3938]) ).
thf(4288,plain,
! [SV2110: $i,SV1777: $i,SV533: $i,SV972: $i,SV88: $i] :
( ( ( c_WellType_OWT @ SV88 @ SV972 @ ( c_Expr_Oexp_OCast @ SV533 @ SV1777 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2110 )
= $false )
| ( ( c_Decl_Ois__class @ SV88 @ SV533 @ ( 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)],[3939]) ).
thf(4289,plain,
! [SV2343: $i,SV2111: $i,SV1778: $i,SV1391: $i,SV973: $i,SV534: $i,SV89: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV89 @ SV534 @ SV973 @ SV1391 )
!= ( c_Expr_Oexp_OBinOp @ SV1778 @ SV2111 @ SV2343 @ SV1391 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3940]) ).
thf(4290,plain,
! [SV974: $i,SV1779: $i,SV1392: $i,SV535: $i,SV90: $i] :
( ( ( c_BigStep_Oeval @ SV90 @ SV535 @ SV1392 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1779 )
= $false )
| ( ( c_BigStep_Oeval @ SV90 @ ( c_Expr_Oexp_OWhile @ SV535 @ SV974 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1392 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1779 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3941]) ).
thf(4291,plain,
! [SV92: $i,SV2112: $i,SV537: $i,SV1780: $i,SV976: $i] :
( ( ( c_WellType_OWT @ SV976 @ SV1780 @ ( c_Expr_Oexp_OCast @ SV537 @ SV2112 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV92 )
= $false )
| ( ( SV92
= ( c_Type_Oty_OClass @ SV537 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3942]) ).
thf(4292,plain,
! [SV2344: $i,SV2113: $i,SV1781: $i,SV1394: $i,SV978: $i,SV539: $i,SV94: $i] :
( ( ( c_BigStep_Oeval @ SV94 @ ( c_Expr_Oexp_OCall @ SV539 @ SV978 @ SV1394 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1781 @ ( c_Expr_Oexp_Othrow @ SV2113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2344 )
| ~ ( c_BigStep_Oeval @ SV94 @ SV539 @ SV1781 @ ( c_Expr_Oexp_Othrow @ SV2113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2344 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3943]) ).
thf(4293,plain,
! [SV2114: $i,SV1782: $i,SV1396: $i,SV980: $i,SV541: $i,SV96: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV96 @ SV541 @ SV980 @ SV1396 )
= ( c_Expr_Oexp_OCast @ SV1782 @ SV2114 @ SV1396 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3944]) ).
thf(4294,plain,
! [SV542: $i,SV1397: $i,SV981: $i,SV97: $i,SV2115: $i] :
( ( ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV2115 @ SV97 @ SV981 @ SV1397 ) @ SV542 @ SV981 @ SV1397 )
= $false )
| ( ( c_Map_Omap__le @ SV97 @ SV542 @ SV981 @ SV1397 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3945]) ).
thf(4295,plain,
! [SV2345: $i,SV2116: $i,SV1785: $i,SV1400: $i,SV984: $i,SV545: $i,SV100: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV100 @ SV545 @ SV984 @ SV1400 )
!= ( c_Expr_Oexp_OCall @ SV1785 @ SV2116 @ SV2345 @ SV1400 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3947]) ).
thf(4296,plain,
! [SV2117: $i,SV1786: $i,SV1401: $i,SV985: $i,SV546: $i,SV101: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV101 @ SV546 @ SV985 )
= ( c_Expr_Oexp_OBinOp @ SV1401 @ SV1786 @ SV2117 @ SV985 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3948]) ).
thf(4297,plain,
! [SV2346: $i,SV2118: $i,SV1787: $i,SV1402: $i,SV986: $i,SV547: $i,SV102: $i] :
( ( ( c_Expr_Oexp_OCall @ SV102 @ SV547 @ SV986 @ SV1402 )
!= ( c_Expr_Oexp_OCond @ SV1787 @ SV2118 @ SV2346 @ SV1402 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3949]) ).
thf(4298,plain,
! [SV2347: $i,SV2119: $i,SV1788: $i,SV1404: $i,SV988: $i,SV549: $i,SV104: $i] :
( ( ( c_Expr_Oexp_OCall @ SV104 @ SV549 @ SV988 @ SV1404 )
!= ( c_Expr_Oexp_OBlock @ SV1788 @ SV2119 @ SV2347 @ SV1404 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3950]) ).
thf(4299,plain,
! [SV2348: $i,SV2120: $i,SV1790: $i,SV1406: $i,SV990: $i,SV551: $i,SV106: $i] :
( ( ( c_BigStep_Oeval @ SV106 @ ( c_Expr_Oexp_OCond @ SV551 @ SV990 @ SV1406 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1790 @ SV2120 @ SV2348 )
| ! [SY9601: $i] :
( ~ ( c_BigStep_Oeval @ SV106 @ SV1406 @ SY9601 @ SV2120 @ SV2348 )
| ~ ( c_BigStep_Oeval @ SV106 @ SV551 @ SV1790 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9601 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3951]) ).
thf(4300,plain,
! [SV2121: $i,SV1791: $i,SV1407: $i,SV991: $i,SV552: $i,SV107: $i] :
( ( ( c_Expr_Oexp_OCall @ SV107 @ SV552 @ SV991 @ SV1407 )
= ( c_Expr_Oexp_OSeq @ SV1791 @ SV2121 @ SV1407 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3952]) ).
thf(4301,plain,
! [SV2122: $i,SV1792: $i,SV1408: $i,SV993: $i,SV554: $i,SV109: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV109 @ SV554 @ SV993 @ SV1408 )
= ( c_Expr_Oexp_OLAss @ SV1792 @ SV2122 @ SV1408 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3953]) ).
thf(4302,plain,
! [SV2349: $i,SV2123: $i,SV1793: $i,SV1409: $i,SV994: $i,SV555: $i,SV110: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV110 @ SV555 @ SV994 )
!= ( c_Expr_Oexp_OFAss @ SV1409 @ SV1793 @ SV2123 @ SV2349 @ SV994 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3954]) ).
thf(4303,plain,
! [SV2124: $i,SV1794: $i,SV1410: $i,SV995: $i,SV556: $i,SV111: $i] :
( ( ( c_BigStep_Oeval @ SV111 @ ( c_Expr_Oexp_OLAss @ SV556 @ SV995 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1410 @ ( c_Expr_Oexp_Othrow @ SV1794 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2124 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV111 @ SV995 @ SV1410 @ ( c_Expr_Oexp_Othrow @ SV1794 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2124 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3955]) ).
thf(4304,plain,
! [SV2350: $i,SV2125: $i,SV1796: $i,SV1412: $i,SV997: $i,SV558: $i,SV113: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV113 @ SV558 @ SV997 @ SV1412 @ SV1796 )
!= ( c_Expr_Oexp_OCast @ SV2125 @ SV2350 @ SV1796 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3957]) ).
thf(4305,plain,
! [SV2351: $i,SV2126: $i,SV1797: $i,SV1413: $i,SV998: $i,SV559: $i,SV114: $i] :
( ( ( c_Expr_Oexp_OCast @ SV114 @ SV559 @ SV998 )
!= ( c_Expr_Oexp_OFAss @ SV1413 @ SV1797 @ SV2126 @ SV2351 @ SV998 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3958]) ).
thf(4306,plain,
! [SV2127: $i,SV1798: $i,SV1414: $i,SV999: $i,SV560: $i,SV115: $i] :
( ( ( c_Expr_Oexp_OCond @ SV115 @ SV560 @ SV999 @ SV1414 )
= ( c_Expr_Oexp_OCast @ SV1798 @ SV2127 @ SV1414 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3959]) ).
thf(4307,plain,
! [SV2128: $i,SV1801: $i,SV1417: $i,SV1002: $i,SV563: $i,SV118: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV118 @ SV563 @ SV1002 @ SV1417 )
= ( c_Expr_Oexp_OWhile @ SV1801 @ SV2128 @ SV1417 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3962]) ).
thf(4308,plain,
! [SV2352: $i,SV2129: $i,SV1802: $i,SV1418: $i,SV1003: $i,SV564: $i,SV119: $i] :
( ( ! [SY9602: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV119 @ SV564 @ SV1003 @ SV1418 @ SV1802 )
!= ( c_Expr_Oexp_OCall @ SV2129 @ SV2352 @ SY9602 @ SV1802 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3963]) ).
thf(4309,plain,
! [SV2353: $i,SV2130: $i,SV1803: $i,SV1419: $i,SV1004: $i,SV565: $i,SV120: $i] :
( ( ( c_Expr_Oexp_OCond @ SV120 @ SV565 @ SV1004 @ SV1419 )
!= ( c_Expr_Oexp_OCall @ SV1803 @ SV2130 @ SV2353 @ SV1419 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3964]) ).
thf(4310,plain,
! [SV2354: $i,SV2131: $i,SV1804: $i,SV1421: $i,SV1006: $i,SV567: $i,SV122: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV122 @ SV567 @ SV1006 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9603: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1006 @ SY9603 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV122 @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9603 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[3965]) ).
thf(4311,plain,
! [SV2355: $i,SV2132: $i,SV1805: $i,SV1422: $i,SV1007: $i,SV568: $i,SV123: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV123 @ SV568 @ SV1007 @ SV1422 @ SV1805 )
!= ( c_Expr_Oexp_OLAss @ SV2132 @ SV2355 @ SV1805 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3966]) ).
thf(4312,plain,
! [SV2133: $i,SV1806: $i,SV1423: $i,SV1008: $i,SV569: $i,SV124: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV124 @ SV569 @ SV1008 )
= ( c_Expr_Oexp_OCall @ SV1423 @ SV1806 @ SV2133 @ SV1008 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3967]) ).
thf(4313,plain,
! [SV2134: $i,SV1807: $i,SV1424: $i,SV1009: $i,SV570: $i,SV125: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV125 @ SV570 @ SV1009 )
= ( c_Expr_Oexp_OFAcc @ SV1424 @ SV1807 @ SV2134 @ SV1009 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3968]) ).
thf(4314,plain,
! [SV2356: $i,SV2135: $i,SV1808: $i,SV1425: $i,SV1010: $i,SV571: $i,SV126: $i] :
( ( ( c_Expr_Oexp_OCall @ SV126 @ SV571 @ SV1010 @ SV1425 )
!= ( c_Expr_Oexp_OBinOp @ SV1808 @ SV2135 @ SV2356 @ SV1425 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3969]) ).
thf(4315,plain,
! [SV2357: $i,SV2136: $i,SV1809: $i,SV1426: $i,SV1011: $i,SV572: $i,SV127: $i] :
( ( ( c_BigStep_Oeval @ SV127 @ ( c_Expr_Oexp_OCond @ SV572 @ SV1011 @ SV1426 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1809 @ ( c_Expr_Oexp_Othrow @ SV2136 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2357 )
| ~ ( c_BigStep_Oeval @ SV127 @ SV572 @ SV1809 @ ( c_Expr_Oexp_Othrow @ SV2136 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2357 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3970]) ).
thf(4316,plain,
! [SV2137: $i,SV1810: $i,SV1428: $i,SV1013: $i,SV574: $i,SV129: $i] :
( ( ( c_Expr_Oexp_OCast @ SV129 @ SV574 @ SV1013 )
= ( c_Expr_Oexp_OCall @ SV1428 @ SV1810 @ SV2137 @ SV1013 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3971]) ).
thf(4317,plain,
! [SV2138: $i,SV1811: $i,SV1429: $i,SV1014: $i,SV575: $i,SV130: $i] :
( ( ( c_Expr_Oexp_OCast @ SV130 @ SV575 @ SV1014 )
= ( c_Expr_Oexp_OFAcc @ SV1429 @ SV1811 @ SV2138 @ SV1014 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3972]) ).
thf(4318,plain,
! [SV2139: $i,SV1812: $i,SV1430: $i,SV1015: $i,SV576: $i,SV131: $i] :
( ( ( c_BigStep_Oeval @ SV131 @ ( c_Expr_Oexp_OWhile @ SV576 @ SV1015 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1430 @ ( c_Expr_Oexp_Othrow @ SV1812 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2139 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV131 @ SV576 @ SV1430 @ ( c_Expr_Oexp_Othrow @ SV1812 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3973]) ).
thf(4319,plain,
! [SV2358: $i,SV2140: $i,SV1813: $i,SV1431: $i,SV1016: $i,SV577: $i,SV132: $i] :
( ( ! [SY9604: $i] :
( ( c_Expr_Oexp_OBlock @ SV132 @ SV577 @ SV1016 @ SV1431 )
!= ( c_Expr_Oexp_OFAss @ SV1813 @ SV2140 @ SV2358 @ SY9604 @ SV1431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3974]) ).
thf(4320,plain,
! [SV2141: $i,SV1814: $i,SV1432: $i,SV1017: $i,SV578: $i,SV133: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV133 @ SV578 )
= ( c_Expr_Oexp_OTryCatch @ SV1017 @ SV1432 @ SV1814 @ SV2141 @ SV578 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3975]) ).
thf(4321,plain,
! [SV2142: $i,SV1815: $i,SV1433: $i,SV1018: $i,SV579: $i,SV134: $i] :
( ( ( c_BigStep_Oeval @ SV134 @ ( c_Expr_Oexp_OCast @ SV579 @ SV1018 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1433 @ ( c_Expr_Oexp_Othrow @ SV1815 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2142 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV134 @ SV1018 @ SV1433 @ ( c_Expr_Oexp_Othrow @ SV1815 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3976]) ).
thf(4322,plain,
! [SV2359: $i,SV1818: $i,SV1436: $i,SV1021: $i,SV582: $i,SV137: $i] :
( ( ( ! [SY9605: $i] :
( ( c_Expr_Oexp_OCall @ SV137 @ SV582 @ SV1021 @ SV1436 )
!= ( c_Expr_Oexp_OCall @ SV1818 @ SV2359 @ SY9605 @ SV1436 ) ) )
= $true )
| ( ( SV137 = SV1818 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3978]) ).
thf(4323,plain,
! [SV2143: $i,SV1819: $i,SV1437: $i,SV1022: $i,SV583: $i,SV138: $i] :
( ( ( ! [SY9394: $i] :
( ( c_Expr_Oexp_OCall @ SV138 @ SV583 @ SV1022 @ SV1437 )
!= ( c_Expr_Oexp_OCall @ SV1819 @ SV2143 @ SY9394 @ SV1437 ) ) )
= $true )
| ( ( SV583 = SV2143 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3979]) ).
thf(4324,plain,
! [SV2360: $i,SV2144: $i,SV1820: $i,SV1438: $i,SV1023: $i,SV584: $i,SV139: $i] :
( ( ( ( c_Expr_Oexp_OCall @ SV139 @ SV584 @ SV1023 @ SV1438 )
!= ( c_Expr_Oexp_OCall @ SV1820 @ SV2144 @ SV2360 @ SV1438 ) )
| ( SV1023 = SV2360 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3980]) ).
thf(4325,plain,
! [SV2145: $i,SV1821: $i,SV1439: $i,SV1024: $i,SV585: $i,SV140: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV140 @ SV585 @ SV1024 @ SV1439 )
= ( c_Expr_Oexp_OCast @ SV1821 @ SV2145 @ SV1439 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3981]) ).
thf(4326,plain,
! [SV2146: $i,SV1823: $i,SV1442: $i,SV1027: $i,SV588: $i,SV143: $i] :
( ( ( c_Expr_Oexp_Othrow @ SV143 @ SV588 )
= ( c_Expr_Oexp_OFAss @ SV1027 @ SV1442 @ SV1823 @ SV2146 @ SV588 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3983]) ).
thf(4327,plain,
! [SV2361: $i,SV2147: $i,SV1824: $i,SV1443: $i,SV1028: $i,SV589: $i,SV144: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV144 @ SV589 @ SV1028 @ SV1443 )
!= ( c_Expr_Oexp_OCall @ SV1824 @ SV2147 @ SV2361 @ SV1443 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3984]) ).
thf(4328,plain,
! [SV2362: $i,SV2148: $i,SV1825: $i,SV1444: $i,SV1029: $i,SV590: $i,SV145: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV145 @ SV590 @ SV1029 @ SV1444 )
!= ( c_Expr_Oexp_OFAcc @ SV1825 @ SV2148 @ SV2362 @ SV1444 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3985]) ).
thf(4329,plain,
! [SV1828: $i,SV1448: $i,SV1033: $i,SV149: $i,SV594: $i,SV2363: $i] :
( ( ( ~ ( c_Objects_Ohext @ SV2363 @ SV594 )
| ~ ( c_Conform_Olconf @ SV149 @ SV2363 @ SV1033 @ SV1448 @ SV1828 ) )
= $true )
| ( ( c_Conform_Olconf @ SV149 @ SV594 @ SV1033 @ SV1448 @ SV1828 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3987]) ).
thf(4330,plain,
! [SV1829: $i,SV1449: $i,SV1034: $i,SV595: $i,SV150: $i] :
( ( ( c_SmallStep_Oredp @ SV150 @ SV595 @ SV1034 @ SV1449 @ SV1829 )
= $false )
| ( ( c_SmallStep_Oredp @ SV150 @ ( c_Expr_Oexp_Othrow @ SV595 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1034 @ ( c_Expr_Oexp_Othrow @ SV1449 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1829 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3988]) ).
thf(4331,plain,
! [SV2364: $i,SV2149: $i,SV1832: $i,SV1453: $i,SV1038: $i,SV599: $i,SV154: $i] :
( ( ! [SY9606: $i] :
( ( c_Expr_Oexp_OFAss @ SV154 @ SV599 @ SV1038 @ SV1453 @ SV1832 )
!= ( c_Expr_Oexp_OBlock @ SV2149 @ SV2364 @ SY9606 @ SV1832 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3991]) ).
thf(4332,plain,
! [SV2150: $i,SV1833: $i,SV1454: $i,SV1039: $i,SV600: $i,SV155: $i] :
( ( ( c_Expr_Oexp_OCall @ SV155 @ SV600 @ SV1039 @ SV1454 )
= ( c_Expr_Oexp_OWhile @ SV1833 @ SV2150 @ SV1454 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3992]) ).
thf(4333,plain,
! [SV2365: $i,SV2151: $i,SV1835: $i,SV1456: $i,SV1041: $i,SV602: $i,SV157: $i] :
( ( ( c_BigStep_Oeval @ SV157 @ ( c_Expr_Oexp_OBinOp @ SV602 @ SV1041 @ SV1456 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1835 @ ( c_Expr_Oexp_Othrow @ SV2151 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2365 )
| ~ ( c_BigStep_Oeval @ SV157 @ SV602 @ SV1835 @ ( c_Expr_Oexp_Othrow @ SV2151 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2365 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3994]) ).
thf(4334,plain,
! [SV2152: $i,SV1458: $i,SV1043: $i,SV604: $i,SV159: $i] :
( ( ( ( c_Expr_Oexp_OCast @ SV159 @ SV604 @ SV1043 )
= ( c_Expr_Oexp_OCast @ SV1458 @ SV2152 @ SV1043 ) )
= $false )
| ( ( SV159 = SV1458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3996]) ).
thf(4335,plain,
! [SV1837: $i,SV1459: $i,SV1044: $i,SV605: $i,SV160: $i] :
( ( ( ( c_Expr_Oexp_OCast @ SV160 @ SV605 @ SV1044 )
= ( c_Expr_Oexp_OCast @ SV1459 @ SV1837 @ SV1044 ) )
= $false )
| ( ( SV605 = SV1837 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3997]) ).
thf(4336,plain,
! [SV2366: $i,SV2153: $i,SV1838: $i,SV1460: $i,SV1045: $i,SV606: $i,SV161: $i] :
( ( ! [SY9607: $i] :
( ( c_Expr_Oexp_OCall @ SV161 @ SV606 @ SV1045 @ SV1460 )
!= ( c_Expr_Oexp_OFAss @ SV1838 @ SV2153 @ SV2366 @ SY9607 @ SV1460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3998]) ).
thf(4337,plain,
! [SV2154: $i,SV1839: $i,SV1461: $i,SV1046: $i,SV607: $i,SV162: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV162 @ SV607 @ SV1046 @ SV1461 @ SV1839 )
= ( c_Expr_Oexp_Othrow @ SV2154 @ SV1839 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3999]) ).
thf(4338,plain,
! [SV2155: $i,SV1841: $i,SV1463: $i,SV1048: $i,SV609: $i,SV164: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV164 @ SV609 @ SV1048 @ SV1463 )
= ( c_Expr_Oexp_OLAss @ SV1841 @ SV2155 @ SV1463 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4000]) ).
thf(4339,plain,
! [SV2367: $i,SV2156: $i,SV1842: $i,SV1464: $i,SV1049: $i,SV610: $i,SV165: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV165 @ SV610 @ SV1049 @ SV1464 )
!= ( c_Expr_Oexp_OBlock @ SV1842 @ SV2156 @ SV2367 @ SV1464 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4001]) ).
thf(4340,plain,
! [SV2157: $i,SV1843: $i,SV1465: $i,SV1050: $i,SV611: $i,SV166: $i] :
( ( ( c_Expr_Oexp_OCall @ SV166 @ SV611 @ SV1050 @ SV1465 )
= ( c_Expr_Oexp_OCast @ SV1843 @ SV2157 @ SV1465 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4002]) ).
thf(4341,plain,
! [SV2368: $i,SV2158: $i,SV1844: $i,SV1466: $i,SV1052: $i,SV613: $i,SV168: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV168 @ SV613 @ SV1052 )
!= ( c_Expr_Oexp_OTryCatch @ SV1466 @ SV1844 @ SV2158 @ SV2368 @ SV1052 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4003]) ).
thf(4342,plain,
! [SV2369: $i,SV2159: $i,SV1845: $i,SV1467: $i,SV1053: $i,SV614: $i,SV169: $i] :
( ( ( c_Expr_Oexp_OCall @ SV169 @ SV614 @ SV1053 @ SV1467 )
!= ( c_Expr_Oexp_OFAcc @ SV1845 @ SV2159 @ SV2369 @ SV1467 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4004]) ).
thf(4343,plain,
! [SV1850: $i,SV1474: $i,SV1060: $i,SV621: $i,SV176: $i] :
( ( ( ~ ( c_Map_Omap__le @ SV176 @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1060 @ SV1474 ) )
= $true )
| ( ( ~ ( c_Map_Omap__le @ SV621 @ SV1850 @ SV1060 @ SV1474 )
| ~ ( c_Map_Omap__le @ SV176 @ SV1850 @ SV1060 @ SV1474 ) )
= $true )
| ( ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1850 @ SV1060 @ SV1474 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4009]) ).
thf(4344,plain,
! [SV622: $i,SV1851: $i,SV1475: $i,SV1061: $i,SV177: $i] :
( ( ( c_BigStep_Oeval @ SV177 @ SV1061 @ SV1475 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1851 )
= $false )
| ( ( c_BigStep_Oeval @ SV177 @ ( c_Expr_Oexp_OCast @ SV622 @ SV1061 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1475 @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1851 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4010]) ).
thf(4345,plain,
! [SV2370: $i,SV2161: $i,SV1852: $i,SV1476: $i,SV1062: $i,SV623: $i,SV178: $i] :
( ( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SV623 @ SV1062 @ SV1476 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1852 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
| ! [SY9608: $i] :
( ~ ( c_BigStep_Oeval @ SV178 @ SV1476 @ SY9608 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
| ! [SY8962: $i] :
~ ( c_BigStep_Oeval @ SV178 @ SV623 @ SV1852 @ ( c_Expr_Oexp_OVal @ SY8962 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9608 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4011]) ).
thf(4346,plain,
! [SV2371: $i,SV2163: $i,SV1854: $i,SV1479: $i,SV1065: $i,SV626: $i,SV181: $i] :
( ( ! [SY9610: $i] :
( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SV1065 @ SV1479 @ SV1854 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2163 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9610 )
| ! [SY9611: $i] :
( ~ ( c_BigStep_Oeval @ SV181 @ SV1854 @ SY9611 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9610 )
| ! [SY9412: $i] :
~ ( c_BigStep_Oeval @ SV181 @ SV626 @ SV2163 @ ( c_Expr_Oexp_OVal @ SY9412 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9611 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4013]) ).
thf(4347,plain,
! [SV2372: $i,SV2165: $i,SV1857: $i,SV1482: $i,SV1069: $i,SV630: $i,SV185: $i] :
( ( ! [SY9613: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SV1482 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SV2165 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2372 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9613 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1482 @ SV1857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2165 @ SV2372 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9613 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4015]) ).
thf(4348,plain,
! [SV2373: $i,SV2167: $i,SV1859: $i,SV1484: $i,SV1071: $i,SV632: $i,SV187: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SV1071 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SV1859 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2167 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2373 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1071 @ SV1484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1859 @ SV2167 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2373 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4017]) ).
thf(4349,plain,
! [SV2374: $i,SV2168: $i,SV1861: $i,SV1486: $i,SV1073: $i,SV634: $i,SV189: $i] :
( ( ( c_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Olconf @ SV189 @ SV1861 @ SV2168 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY9614: $i] :
~ ( c_WellTypeRT_OWTrt @ SV189 @ SV1861 @ SV1486 @ SV2374 @ SY9614 )
| ! [SY9615: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV2374 @ ( c_Pair @ SV1861 @ SV2168 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9615 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4018]) ).
thf(4350,plain,
! [SV2375: $i,SV2169: $i,SV1862: $i,SV1487: $i,SV1074: $i,SV635: $i,SV190: $i] :
( ( ( c_Conform_Ohconf @ SV190 @ SV635 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV190 @ SV1074 @ SV1487 @ SV1862 @ SV2169 )
| ! [SY9616: $i,SY9617: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1862 @ ( c_Pair @ SV1074 @ SV2375 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9616 @ ( c_Pair @ SV635 @ SY9617 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4019]) ).
thf(4351,plain,
! [SV2170: $i,SV1863: $i,SV1489: $i,SV1077: $i,SV638: $i,SV193: $i] :
( ( ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OCond @ SV638 @ ( c_Expr_Oexp_OSeq @ SV1077 @ ( c_Expr_Oexp_OWhile @ SV638 @ SV1077 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1489 @ SV1863 @ SV2170 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OWhile @ SV638 @ SV1077 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1489 @ SV1863 @ SV2170 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4020]) ).
thf(4352,plain,
! [SV2171: $i,SV1864: $i,SV1490: $i,SV1078: $i,SV639: $i,SV194: $i] :
( ( ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OWhile @ SV639 @ SV1078 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1490 @ SV1864 @ SV2171 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OCond @ SV639 @ ( c_Expr_Oexp_OSeq @ SV1078 @ ( c_Expr_Oexp_OWhile @ SV639 @ SV1078 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1490 @ SV1864 @ SV2171 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4021]) ).
thf(4353,plain,
! [SV2376: $i,SV2172: $i,SV1865: $i,SV1491: $i,SV1079: $i,SV640: $i,SV195: $i] :
( ( ! [SY9618: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV195 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV2172 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2376 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9618 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV195 @ SV1865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2172 @ SV2376 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9618 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4022]) ).
thf(4354,plain,
! [SV2377: $i,SV2173: $i,SV1867: $i,SV1493: $i,SV1081: $i,SV642: $i,SV197: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV197 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1493 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV1867 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2173 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2377 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV197 @ SV1493 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1867 @ SV2173 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2377 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4023]) ).
thf(4355,plain,
! [SV2174: $i,SV1868: $i,SV1495: $i,SV1083: $i,SV644: $i,SV199: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV199 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1083 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV1495 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1868 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2174 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV199 @ SV1083 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1495 @ SV1868 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2174 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4024]) ).
thf(4356,plain,
! [SV2378: $i,SV2175: $i,SV1870: $i,SV1497: $i,SV1085: $i,SV646: $i,SV201: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV201 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1497 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV1870 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2175 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2378 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV201 @ SV1497 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1870 @ SV2175 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2378 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4025]) ).
thf(4357,plain,
! [SV2379: $i,SV2177: $i,SV1872: $i,SV1499: $i,SV1087: $i,SV648: $i,SV203: $i] :
( ( ! [SY9619: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV203 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV2177 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2379 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9619 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV203 @ SV1872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2177 @ SV2379 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9619 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4027]) ).
thf(4358,plain,
! [SV2380: $i,SV2178: $i,SV1873: $i,SV1500: $i,SV1088: $i,SV649: $i,SV204: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV204 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1500 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV1873 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2178 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2380 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV204 @ SV1500 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1873 @ SV2178 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2380 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4028]) ).
thf(4359,plain,
! [SV2381: $i,SV2179: $i,SV1875: $i,SV1502: $i,SV1090: $i,SV651: $i,SV206: $i] :
( ( ! [SY9620: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ ( c_Map_Omap__add @ SV1090 @ SV1502 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1875 @ ( c_Pair @ SV2179 @ ( c_Map_Omap__add @ SV1090 @ SV2381 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9620 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ SV1502 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1875 @ ( c_Pair @ SV2179 @ SV2381 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9620 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4029]) ).
thf(4360,plain,
! [SV2382: $i,SV1877: $i,SV1504: $i,SV1092: $i,SV653: $i,SV208: $i] :
( ( ( ! [SY9621: $i] :
( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV1877 @ SV1092 @ SV2382 @ SV208 @ SY9621 @ SV1504 @ SV653 ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ ( c_Expr_Oexp_OFAcc @ SV1504 @ SV2382 @ SV1877 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9621 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ c_Type_Oty_ONT )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4030]) ).
thf(4361,plain,
! [SV2180: $i,SV1878: $i,SV1505: $i,SV1093: $i,SV654: $i,SV209: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ c_Type_Oty_ONT )
= $true )
| ( ( ! [SY9431: $i] :
( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1878 @ SV1093 @ SV2180 @ SV209 @ SV1505 @ SV654 @ SY9431 ) ) )
| ! [SY9432: $i] :
~ ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ ( c_Expr_Oexp_OFAss @ SV1505 @ SV2180 @ SV1878 @ SY9431 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9432 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4031]) ).
thf(4362,plain,
! [SV2383: $i,SV2181: $i,SV1879: $i,SV1506: $i,SV1094: $i,SV655: $i,SV210: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV210 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV1879 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2181 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2383 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV210 @ SV1506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1879 @ SV2181 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2383 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4032]) ).
thf(4363,plain,
! [SV2182: $i,SV1880: $i,SV1507: $i,SV1095: $i,SV656: $i,SV211: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SV656 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SV1507 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1880 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2182 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV656 @ SV1095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1507 @ SV1880 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2182 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4033]) ).
thf(4364,plain,
! [SV1881: $i,SV1508: $i,SV1096: $i,SV657: $i,SV212: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV212 @ SV657 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1096 @ SV1508 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1881 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV212 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV657 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1096 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1508 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV1881 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4034]) ).
thf(4365,plain,
! [SV2183: $i,SV1882: $i,SV1509: $i,SV1098: $i,SV659: $i,SV214: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SV659 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1098 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SV1509 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1882 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2183 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV659 @ SV1098 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1509 @ SV1882 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2183 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4035]) ).
thf(4366,plain,
! [SV2384: $i,SV2184: $i,SV1883: $i,SV1510: $i,SV1099: $i,SV660: $i,SV215: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV215 @ SV660 @ SV1099 @ SV1510 ) @ ( c_Pair @ SV215 @ SV1883 @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) @ ( c_Recdef_Osame__fst @ SV2184 @ SV2384 @ SV1099 @ SV1510 ) @ ( tc_prod @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) )
| ~ ( c_in @ ( c_Pair @ SV660 @ SV1883 @ SV1510 @ SV1510 ) @ ( hAPP @ SV2384 @ SV215 ) @ ( tc_prod @ SV1510 @ SV1510 ) )
| ~ ( hBOOL @ ( hAPP @ SV2184 @ SV215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4036]) ).
thf(4367,plain,
! [SV2185: $i,SV1884: $i,SV1511: $i,SV1100: $i,SV661: $i,SV216: $i] :
( ( ( c_in @ ( c_Pair @ SV216 @ SV661 @ SV1100 @ SV1100 ) @ SV1511 @ ( tc_prod @ SV1100 @ SV1100 ) )
= $true )
| ( ( ! [SY9435: $i,SY9436: $i] :
( ( c_in @ ( c_Pair @ SV1884 @ SV2185 @ SY9435 @ SY9435 ) @ SY9436 @ ( tc_prod @ SY9435 @ SY9435 ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1884 @ SV216 @ SY9435 @ SV1100 ) @ ( c_Pair @ SV2185 @ SV661 @ SY9435 @ SV1100 ) @ ( tc_prod @ SY9435 @ SV1100 ) @ ( tc_prod @ SY9435 @ SV1100 ) ) @ ( c_Wellfounded_Olex__prod @ SY9436 @ SV1511 @ SY9435 @ SV1100 ) @ ( tc_prod @ ( tc_prod @ SY9435 @ SV1100 ) @ ( tc_prod @ SY9435 @ SV1100 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4037]) ).
thf(4368,plain,
! [SV2385: $i,SV2186: $i,SV1885: $i,SV1512: $i,SV1101: $i,SV662: $i,SV217: $i] :
( ( ! [SY9622: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ SV217 @ SV662 @ SV1101 @ SV1512 ) @ ( c_Pair @ SV1885 @ SV2186 @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) @ ( c_Wellfounded_Olex__prod @ SV2385 @ SY9622 @ SV1101 @ SV1512 ) @ ( tc_prod @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) )
| ~ ( c_in @ ( c_Pair @ SV217 @ SV1885 @ SV1101 @ SV1101 ) @ SV2385 @ ( tc_prod @ SV1101 @ SV1101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4038]) ).
thf(4369,plain,
! [SV2386: $i,SV2187: $i,SV1886: $i,SV1513: $i,SV1102: $i,SV663: $i,SV218: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV218 @ SV663 @ SV1102 @ SV1513 ) @ ( c_Pair @ SV218 @ SV1886 @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) ) @ ( c_Wellfounded_Olex__prod @ SV2187 @ SV2386 @ SV1102 @ SV1513 ) @ ( tc_prod @ ( tc_prod @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) ) )
| ~ ( c_in @ ( c_Pair @ SV663 @ SV1886 @ SV1513 @ SV1513 ) @ SV2386 @ ( tc_prod @ SV1513 @ SV1513 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4039]) ).
thf(4370,plain,
! [SV2188: $i,SV1887: $i,SV1514: $i,SV1103: $i,SV664: $i,SV219: $i] :
( ( ( SV219 = SV664 )
= $true )
| ( ( ( c_in @ ( c_Pair @ SV219 @ SV664 @ SV1103 @ SV1103 ) @ SV1514 @ ( tc_prod @ SV1103 @ SV1103 ) )
| ! [SY9440: $i,SY9441: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV219 @ SV1887 @ SV1103 @ SV2188 ) @ ( c_Pair @ SV664 @ SY9440 @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) ) @ ( c_Wellfounded_Olex__prod @ SV1514 @ SY9441 @ SV1103 @ SV2188 ) @ ( tc_prod @ ( tc_prod @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4040]) ).
thf(4371,plain,
! [SV2387: $i,SV2189: $i,SV1888: $i,SV1515: $i,SV1104: $i,SV665: $i,SV220: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ ( c_List_Olist_OCons @ SV1515 @ SV1888 @ SV665 ) @ ( c_List_Olist_OCons @ SV2189 @ SV2387 @ SV1104 ) @ SV665 @ SV1104 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ SV1888 @ SV2387 @ SV665 @ SV1104 )
| ~ ( c_in @ ( c_Pair @ SV1515 @ SV2189 @ SV665 @ SV1104 ) @ SV220 @ ( tc_prod @ SV665 @ SV1104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4041]) ).
thf(4372,plain,
! [SV2388: $i,SV2190: $i,SV1889: $i,SV1516: $i,SV1105: $i,SV666: $i,SV221: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ ( c_List_Olist_OCons @ SV1516 @ SV1889 @ SV666 ) @ ( c_List_Olist_OCons @ SV2190 @ SV2388 @ SV1105 ) @ SV666 @ SV1105 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ SV1889 @ SV2388 @ SV666 @ SV1105 )
| ~ ( c_in @ ( c_Pair @ SV1516 @ SV2190 @ SV666 @ SV1105 ) @ SV221 @ ( tc_prod @ SV666 @ SV1105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4042]) ).
thf(4373,plain,
! [SV2389: $i,SV2191: $i,SV1890: $i,SV1517: $i,SV1106: $i,SV667: $i,SV222: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ ( c_List_Olist_OCons @ SV1517 @ SV1890 @ SV667 ) @ ( c_List_Olist_OCons @ SV2191 @ SV2389 @ SV1106 ) @ SV667 @ SV1106 )
| ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ SV1890 @ SV2389 @ SV667 @ SV1106 )
| ~ ( c_in @ ( c_Pair @ SV1517 @ SV2191 @ SV667 @ SV1106 ) @ SV222 @ ( tc_prod @ SV667 @ SV1106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4043]) ).
thf(4374,plain,
! [SV668: $i,SV2390: $i,SV223: $i,SV1518: $i,SV1107: $i,SV1891: $i] :
( ( ( ! [SY9623: $i] :
~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV1891 @ SV1107 @ SV1518 ) @ ( c_List_Olist_OCons @ SV223 @ SV2390 @ SV1107 ) @ ( c_List_Olist_OCons @ SV668 @ SY9623 @ SV1518 ) @ SV1107 @ SV1518 ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV223 @ SV668 @ SV1107 @ SV1518 ) @ SV1891 @ ( tc_prod @ SV1107 @ SV1518 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4044]) ).
thf(4375,plain,
! [SV2391: $i,SV2192: $i,SV1892: $i,SV1519: $i,SV1108: $i,SV669: $i,SV224: $i] :
( ( ! [SY9624: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SV1108 @ SV1519 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9624 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9625: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1519 @ SY9625 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9624 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9037: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9037 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9625 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9624 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4045]) ).
thf(4376,plain,
! [SV2392: $i,SV2193: $i,SV1893: $i,SV1520: $i,SV1109: $i,SV670: $i,SV225: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SV670 @ SV1109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9627: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1109 @ SY9627 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9628: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9628 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9627 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4046]) ).
thf(4377,plain,
! [SV226: $i,SV1894: $i,SV1521: $i,SV1110: $i,SV671: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV671 @ SV1110 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1521 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1894 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV226 @ SV671 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1110 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_ONull @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1521 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1894 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4047]) ).
thf(4378,plain,
! [SV2393: $i,SV2194: $i,SV1895: $i,SV1522: $i,SV1111: $i,SV672: $i,SV227: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV227 @ SV672 @ SV1111 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1522 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1895 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2194 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2393 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV227 @ SV1522 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1895 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2194 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2393 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4048]) ).
thf(4379,plain,
! [SV2195: $i,SV1896: $i,SV1523: $i,SV1112: $i,SV673: $i,SV228: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV228 @ SV673 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1523 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1896 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2195 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV228 @ SV1112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1523 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1896 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2195 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4049]) ).
thf(4380,plain,
! [SV2394: $i,SV2196: $i,SV1897: $i,SV1524: $i,SV1113: $i,SV674: $i,SV229: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV229 @ SV674 @ SV1113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1524 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1897 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2196 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2394 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV229 @ SV1524 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1897 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2196 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2394 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4050]) ).
thf(4381,plain,
! [SV2395: $i,SV2197: $i,SV1898: $i,SV1525: $i,SV1114: $i,SV675: $i,SV230: $i] :
( ( ! [SY9629: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV230 @ SV675 @ SV1114 @ SV1525 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2197 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2395 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9629 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV230 @ SV1898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2197 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2395 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9629 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4051]) ).
thf(4382,plain,
! [SV2198: $i,SV1899: $i,SV1526: $i,SV1115: $i,SV676: $i,SV231: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV231 @ SV676 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1526 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2198 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV231 @ SV1115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1526 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2198 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4052]) ).
thf(4383,plain,
! [SV2396: $i,SV2199: $i,SV1900: $i,SV1527: $i,SV1116: $i,SV677: $i,SV232: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV232 @ SV677 @ SV1116 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1527 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2199 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2396 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV232 @ SV1527 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2199 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2396 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4053]) ).
thf(4384,plain,
! [SV2397: $i,SV2200: $i,SV1901: $i,SV1528: $i,SV1117: $i,SV678: $i,SV233: $i] :
( ( ! [SY9630: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ ( c_Map_Omap__add @ SV1117 @ SV1528 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1901 @ ( c_Pair @ SV2200 @ ( c_Map_Omap__add @ SV1117 @ SV2397 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9630 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ SV1528 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1901 @ ( c_Pair @ SV2200 @ SV2397 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9630 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4054]) ).
thf(4385,plain,
! [SV2201: $i,SV1902: $i,SV1529: $i,SV1118: $i,SV679: $i,SV234: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SV679 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SV1529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1902 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2201 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV679 @ SV1118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1529 @ SV1902 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2201 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4055]) ).
thf(4386,plain,
! [SV1903: $i,SV1530: $i,SV1119: $i,SV680: $i,SV235: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV235 @ SV680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1119 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1530 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1903 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV235 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV680 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1119 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1530 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1903 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4056]) ).
thf(4387,plain,
! [SV2202: $i,SV1904: $i,SV1531: $i,SV1120: $i,SV681: $i,SV236: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SV681 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SV1531 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1904 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2202 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV681 @ SV1120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1531 @ SV1904 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2202 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4057]) ).
thf(4388,plain,
! [SV2398: $i,SV2203: $i,SV1905: $i,SV1532: $i,SV1121: $i,SV682: $i,SV237: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV237 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1532 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV1905 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2203 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2398 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV237 @ SV1532 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1905 @ SV2203 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2398 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4058]) ).
thf(4389,plain,
! [SV241: $i,SV1533: $i,SV1125: $i,SV686: $i,SV2204: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ SV2204 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Pair @ SV241 @ SV2204 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV241 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4059]) ).
thf(4390,plain,
! [SV242: $i,SV1534: $i,SV1126: $i,SV687: $i,SV2205: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ SV2205 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SV1534 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Pair @ SV242 @ SV2205 @ SV1126 @ SV1126 ) @ SV1534 @ ( tc_prod @ SV1126 @ SV1126 ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV242 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SV1534 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4060]) ).
thf(4391,plain,
! [SV243: $i,SV1535: $i,SV1127: $i,SV688: $i,SV2206: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ SV2206 @ SV688 @ SV1127 @ SV1127 ) @ SV1535 @ ( tc_prod @ SV1127 @ SV1127 ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Pair @ SV243 @ SV2206 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SV1535 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV243 @ SV688 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SV1535 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4061]) ).
thf(4392,plain,
! [SV689: $i,SV1906: $i,SV1536: $i,SV1128: $i,SV244: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV244 @ SV1128 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1536 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1906 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV244 @ SV689 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1128 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1536 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1906 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4062]) ).
thf(4393,plain,
! [SV1907: $i,SV1537: $i,SV1129: $i,SV690: $i,SV245: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV245 @ SV690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1129 @ SV1537 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1907 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV245 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1129 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1537 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV1907 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4063]) ).
thf(4394,plain,
! [SV2207: $i,SV1908: $i,SV1538: $i,SV1130: $i,SV692: $i,SV247: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV247 @ SV692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9460: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV692 @ SY9460 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9461: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV247 @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9461 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9460 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4064]) ).
thf(4395,plain,
! [SV2399: $i,SV2208: $i,SV1909: $i,SV1539: $i,SV1131: $i,SV693: $i,SV248: $i] :
( ( ! [SY9631: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV248 @ SV693 @ SV1131 @ SV1539 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2208 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2399 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9631 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV248 @ SV1909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2208 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2399 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SY9631 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4065]) ).
thf(4396,plain,
! [SV1132: $i,SV1910: $i,SV1540: $i,SV694: $i,SV249: $i] :
( ( ( ~ ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1540 ) )
= $true )
| ( ( ! [SY9066: $i] :
~ ( c_WellTypeRT_OWTrt @ SV249 @ ( c_State_Ohp @ SV1540 ) @ SV694 @ SV1910 @ SY9066 )
| ! [SY9067: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1910 @ SV1540 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9067 @ SV1132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1132 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4066]) ).
thf(4397,plain,
! [SV2209: $i,SV1911: $i,SV1542: $i,SV1134: $i,SV696: $i,SV251: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV251 @ SV696 @ SV1134 )
= ( c_Expr_Oexp_OFAcc @ SV1542 @ SV1911 @ SV2209 @ SV1134 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4067]) ).
thf(4398,plain,
! [SV2400: $i,SV2210: $i,SV1912: $i,SV1543: $i,SV1135: $i,SV697: $i,SV252: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV252 @ SV697 @ SV1135 @ SV1543 )
!= ( c_Expr_Oexp_OBinOp @ SV1912 @ SV2210 @ SV2400 @ SV1543 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4068]) ).
thf(4399,plain,
! [SV2211: $i,SV1913: $i,SV1544: $i,SV1136: $i,SV698: $i,SV253: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV253 @ SV698 @ SV1136 )
= ( c_Expr_Oexp_OFAcc @ SV1544 @ SV1913 @ SV2211 @ SV1136 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4069]) ).
thf(4400,plain,
! [SV2401: $i,SV1914: $i,SV1545: $i,SV1137: $i,SV699: $i,SV254: $i] :
( ( ( ! [SY9632: $i] :
( ( c_Expr_Oexp_OBinOp @ SV254 @ SV699 @ SV1137 @ SV1545 )
!= ( c_Expr_Oexp_OBinOp @ SV1914 @ SV2401 @ SY9632 @ SV1545 ) ) )
= $true )
| ( ( SV254 = SV1914 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4070]) ).
thf(4401,plain,
! [SV2212: $i,SV1915: $i,SV1546: $i,SV1138: $i,SV700: $i,SV255: $i] :
( ( ( ! [SY9465: $i] :
( ( c_Expr_Oexp_OBinOp @ SV255 @ SV700 @ SV1138 @ SV1546 )
!= ( c_Expr_Oexp_OBinOp @ SV1915 @ SV2212 @ SY9465 @ SV1546 ) ) )
= $true )
| ( ( SV700 = SV2212 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4071]) ).
thf(4402,plain,
! [SV2402: $i,SV2213: $i,SV1916: $i,SV1547: $i,SV1139: $i,SV701: $i,SV256: $i] :
( ( ( ( c_Expr_Oexp_OBinOp @ SV256 @ SV701 @ SV1139 @ SV1547 )
!= ( c_Expr_Oexp_OBinOp @ SV1916 @ SV2213 @ SV2402 @ SV1547 ) )
| ( SV1139 = SV2402 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4072]) ).
thf(4403,plain,
! [SV2214: $i,SV1917: $i,SV1548: $i,SV1140: $i,SV702: $i,SV257: $i] :
( ( ( c_Expr_Oexp_OVal @ SV257 @ SV702 )
= ( c_Expr_Oexp_OFAss @ SV1140 @ SV1548 @ SV1917 @ SV2214 @ SV702 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4073]) ).
thf(4404,plain,
! [SV2403: $i,SV2215: $i,SV1918: $i,SV1549: $i,SV1141: $i,SV703: $i,SV258: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV258 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1549 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV1918 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2215 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2403 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV258 @ SV1549 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1918 @ SV2215 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2403 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4074]) ).
thf(4405,plain,
! [SV2404: $i,SV2216: $i,SV1919: $i,SV1550: $i,SV1142: $i,SV704: $i,SV259: $i] :
( ( ! [SY9633: $i] :
( ( c_SmallStep_Oredp @ SV259 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SV1919 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2216 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SV2404 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9633 )
| ~ ( c_SmallStep_Oredp @ SV259 @ SV1919 @ SV2216 @ SV2404 @ SY9633 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4075]) ).
thf(4406,plain,
! [SV1921: $i,SV1552: $i,SV1144: $i,SV706: $i,SV261: $i] :
( ( ( ( c_List_Olist_OCons @ SV261 @ SV706 @ SV1144 )
= ( c_List_Olist_OCons @ SV1552 @ SV1921 @ SV1144 ) )
= $false )
| ( ( SV706 = SV1921 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4077]) ).
thf(4407,plain,
! [SV2217: $i,SV1553: $i,SV1145: $i,SV707: $i,SV262: $i] :
( ( ( ( c_List_Olist_OCons @ SV262 @ SV707 @ SV1145 )
= ( c_List_Olist_OCons @ SV1553 @ SV2217 @ SV1145 ) )
= $false )
| ( ( SV262 = SV1553 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4078]) ).
thf(4408,plain,
! [SV1554: $i,SV1922: $i,SV1146: $i,SV708: $i,SV263: $i] :
( ( ( ! [SY9084: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1922 @ SY9084 ) )
= $true )
| ( ( ! [SY8391: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1554 @ SY8391 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ ( c_Expr_Oexp_OBinOp @ SV1554 @ c_Expr_Obop_OEq @ SV1922 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4079]) ).
thf(4409,plain,
! [SV2405: $i,SV2218: $i,SV1923: $i,SV1555: $i,SV1147: $i,SV709: $i,SV264: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV264 @ SV709 @ SV1147 @ SV1555 )
!= ( c_Expr_Oexp_OCond @ SV1923 @ SV2218 @ SV2405 @ SV1555 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4080]) ).
thf(4410,plain,
! [SV2406: $i,SV2219: $i,SV1924: $i,SV1556: $i,SV1148: $i,SV710: $i,SV265: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV265 @ SV710 @ SV1148 @ SV1556 @ SV1924 )
!= ( c_Expr_Oexp_OWhile @ SV2219 @ SV2406 @ SV1924 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4081]) ).
thf(4411,plain,
! [SV2407: $i,SV2220: $i,SV1925: $i,SV1557: $i,SV1149: $i,SV711: $i,SV267: $i] :
( ( ! [SY9634: $i] :
( ( c_Expr_Oexp_OFAcc @ SV267 @ SV711 @ SV1149 @ SV1557 )
!= ( c_Expr_Oexp_OFAss @ SV1925 @ SV2220 @ SV2407 @ SY9634 @ SV1557 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4082]) ).
thf(4412,plain,
! [SV2221: $i,SV1927: $i,SV1560: $i,SV1152: $i,SV714: $i,SV271: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV271 @ SV714 @ SV1152 @ SV1560 )
= ( c_Expr_Oexp_OWhile @ SV1927 @ SV2221 @ SV1560 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4084]) ).
thf(4413,plain,
! [SV2408: $i,SV2222: $i,SV1928: $i,SV1561: $i,SV1153: $i,SV715: $i,SV272: $i] :
( ( ! [SY9635: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV272 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1928 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV2222 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2408 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9635 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV272 @ SV1928 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2222 @ SV2408 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9635 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4085]) ).
thf(4414,plain,
! [SV2409: $i,SV2223: $i,SV1929: $i,SV1562: $i,SV1154: $i,SV716: $i,SV273: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SV1154 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SV1929 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2223 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2409 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1154 @ SV1562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1929 @ SV2223 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2409 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4086]) ).
thf(4415,plain,
! [SV2410: $i,SV2224: $i,SV1930: $i,SV1563: $i,SV1155: $i,SV717: $i,SV274: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV274 @ SV717 @ SV1155 )
!= ( c_Expr_Oexp_OTryCatch @ SV1563 @ SV1930 @ SV2224 @ SV2410 @ SV1155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4087]) ).
thf(4416,plain,
! [SV2411: $i,SV2225: $i,SV1931: $i,SV1564: $i,SV1156: $i,SV718: $i,SV275: $i] :
( ( ( c_SmallStep_Oredp @ SV275 @ ( c_Expr_Oexp_OBinOp @ SV718 @ SV1156 @ SV1564 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1931 @ ( c_Expr_Oexp_OBinOp @ SV2225 @ SV1156 @ SV1564 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2411 )
| ~ ( c_SmallStep_Oredp @ SV275 @ SV718 @ SV1931 @ SV2225 @ SV2411 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4088]) ).
thf(4417,plain,
! [SV2226: $i,SV1932: $i,SV1565: $i,SV1157: $i,SV719: $i,SV276: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV276 @ SV719 @ SV1157 )
= ( c_Expr_Oexp_OBinOp @ SV1565 @ SV1932 @ SV2226 @ SV1157 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4089]) ).
thf(4418,plain,
! [SV2412: $i,SV2227: $i,SV1933: $i,SV1566: $i,SV1158: $i,SV720: $i,SV277: $i] :
( ( ! [SY9636: $i] :
( ( c_Expr_Oexp_OFAss @ SV277 @ SV720 @ SV1158 @ SV1566 @ SV1933 )
!= ( c_Expr_Oexp_OFAcc @ SV2227 @ SV2412 @ SY9636 @ SV1933 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4090]) ).
thf(4419,plain,
! [SV2228: $i,SV1934: $i,SV1567: $i,SV1159: $i,SV721: $i,SV278: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV278 @ SV721 @ SV1159 @ SV1567 )
= ( c_Expr_Oexp_OSeq @ SV1934 @ SV2228 @ SV1567 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4091]) ).
thf(4420,plain,
! [SV2413: $i,SV2229: $i,SV1935: $i,SV1568: $i,SV1161: $i,SV723: $i,SV280: $i] :
( ( ! [SY9637: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV280 @ SV723 @ SV1161 @ SV1568 @ SV1935 )
!= ( c_Expr_Oexp_OBinOp @ SV2229 @ SV2413 @ SY9637 @ SV1935 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4092]) ).
thf(4421,plain,
! [SV2230: $i,SV281: $i,SV1936: $i,SV724: $i,SV1162: $i] :
( ( ( c_BigStep_Oeval @ SV1162 @ ( c_Expr_Oexp_OVal @ SV724 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1936 @ SV281 @ SV2230 )
= $false )
| ( ( SV281
= ( c_Expr_Oexp_OVal @ SV724 @ ( tc_List_Olist @ tc_String_Ochar ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4093]) ).
thf(4422,plain,
! [SV2414: $i,SV2231: $i,SV1937: $i,SV1569: $i,SV1163: $i,SV725: $i,SV282: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV282 @ SV725 @ SV1163 @ SV1569 @ SV1937 )
!= ( c_Expr_Oexp_OSeq @ SV2231 @ SV2414 @ SV1937 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4094]) ).
thf(4423,plain,
! [SV2415: $i,SV2232: $i,SV1938: $i,SV1571: $i,SV1165: $i,SV727: $i,SV284: $i] :
( ( ! [SY9638: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV284 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1938 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV2232 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2415 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9638 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV284 @ SV1938 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2232 @ SV2415 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9638 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4095]) ).
thf(4424,plain,
! [SV2416: $i,SV2233: $i,SV1939: $i,SV1572: $i,SV1166: $i,SV728: $i,SV285: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV285 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV1939 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2233 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2416 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV285 @ SV1572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1939 @ SV2233 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2416 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4096]) ).
thf(4425,plain,
! [SV2417: $i,SV2234: $i,SV1940: $i,SV1573: $i,SV1167: $i,SV729: $i,SV286: $i] :
( ( ! [SY9639: $i] :
( ( c_Expr_Oexp_OFAcc @ SV286 @ SV729 @ SV1167 @ SV1573 )
!= ( c_Expr_Oexp_OTryCatch @ SV1940 @ SV2234 @ SV2417 @ SY9639 @ SV1573 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4097]) ).
thf(4426,plain,
! [SV2235: $i,SV1941: $i,SV1574: $i,SV1168: $i,SV730: $i,SV287: $i] :
( ( ( c_SmallStep_Oredp @ SV287 @ ( c_Expr_Oexp_OSeq @ SV730 @ SV1168 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1574 @ ( c_Expr_Oexp_OSeq @ SV1941 @ SV1168 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2235 )
= $true )
| ( ( ~ ( c_SmallStep_Oredp @ SV287 @ SV730 @ SV1574 @ SV1941 @ SV2235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4098]) ).
thf(4427,plain,
! [SV2418: $i,SV2236: $i,SV1942: $i,SV1575: $i,SV1169: $i,SV731: $i,SV288: $i] :
( ( ! [SY9640: $i,SY9641: $i] :
( ( c_Expr_Oexp_OFAss @ SV288 @ SV731 @ SV1169 @ SV1575 @ SV1942 )
!= ( c_Expr_Oexp_OFAss @ SV2236 @ SV2418 @ SY9640 @ SY9641 @ SV1942 ) )
| ( SV288 = SV2236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4099]) ).
thf(4428,plain,
! [SV2419: $i,SV2237: $i,SV1943: $i,SV1576: $i,SV1170: $i,SV732: $i,SV289: $i] :
( ( ! [SY9642: $i,SY9643: $i] :
( ( c_Expr_Oexp_OFAss @ SV289 @ SV732 @ SV1170 @ SV1576 @ SV1943 )
!= ( c_Expr_Oexp_OFAss @ SV2237 @ SV2419 @ SY9642 @ SY9643 @ SV1943 ) )
| ( SV732 = SV2419 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4100]) ).
thf(4429,plain,
! [SV2420: $i,SV2238: $i,SV1944: $i,SV1577: $i,SV1171: $i,SV733: $i,SV290: $i] :
( ( ! [SY9644: $i] :
( ! [SY9645: $i] :
( ( c_Expr_Oexp_OFAss @ SV290 @ SV733 @ SV1171 @ SV1577 @ SV1944 )
!= ( c_Expr_Oexp_OFAss @ SV2238 @ SV2420 @ SY9644 @ SY9645 @ SV1944 ) )
| ( SV1171 = SY9644 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4101]) ).
thf(4430,plain,
! [SV2421: $i,SV2239: $i,SV1945: $i,SV1578: $i,SV1172: $i,SV734: $i,SV291: $i] :
( ( ! [SY9646: $i,SY9647: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV291 @ SV734 @ SV1172 @ SV1578 @ SV1945 )
!= ( c_Expr_Oexp_OFAss @ SV2239 @ SV2421 @ SY9646 @ SY9647 @ SV1945 ) )
| ( SV1578 = SY9647 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4102]) ).
thf(4431,plain,
! [SV2422: $i,SV1946: $i,SV1579: $i,SV1173: $i,SV735: $i,SV292: $i] :
( ( ( ! [SY9648: $i] :
( ( c_Expr_Oexp_OFAcc @ SV292 @ SV735 @ SV1173 @ SV1579 )
!= ( c_Expr_Oexp_OFAcc @ SV1946 @ SV2422 @ SY9648 @ SV1579 ) ) )
= $true )
| ( ( SV292 = SV1946 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4103]) ).
thf(4432,plain,
! [SV2240: $i,SV1947: $i,SV1580: $i,SV1174: $i,SV736: $i,SV293: $i] :
( ( ( ! [SY9501: $i] :
( ( c_Expr_Oexp_OFAcc @ SV293 @ SV736 @ SV1174 @ SV1580 )
!= ( c_Expr_Oexp_OFAcc @ SV1947 @ SV2240 @ SY9501 @ SV1580 ) ) )
= $true )
| ( ( SV736 = SV2240 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4104]) ).
thf(4433,plain,
! [SV2423: $i,SV2241: $i,SV1948: $i,SV1581: $i,SV1175: $i,SV737: $i,SV294: $i] :
( ( ( ( c_Expr_Oexp_OFAcc @ SV294 @ SV737 @ SV1175 @ SV1581 )
!= ( c_Expr_Oexp_OFAcc @ SV1948 @ SV2241 @ SV2423 @ SV1581 ) )
| ( SV1175 = SV2423 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4105]) ).
thf(4434,plain,
! [SV2424: $i,SV2242: $i,SV1949: $i,SV1582: $i,SV1176: $i,SV738: $i,SV295: $i] :
( ( ( c_List_Olist__all2 @ SV295 @ ( c_List_Olist_OCons @ SV738 @ SV1176 @ SV1582 ) @ ( c_List_Olist_OCons @ SV1949 @ SV2242 @ SV2424 ) @ SV1582 @ SV2424 )
| ~ ( c_List_Olist__all2 @ SV295 @ SV1176 @ SV2242 @ SV1582 @ SV2424 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV295 @ SV738 ) @ SV1949 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4106]) ).
thf(4435,plain,
! [SV2425: $i,SV2243: $i,SV1950: $i,SV1583: $i,SV1177: $i,SV739: $i,SV296: $i] :
( ( ( c_List_Olist__all2 @ SV296 @ ( c_List_Olist_OCons @ SV739 @ SV1177 @ SV1583 ) @ ( c_List_Olist_OCons @ SV1950 @ SV2243 @ SV2425 ) @ SV1583 @ SV2425 )
| ~ ( c_List_Olist__all2 @ SV296 @ SV1177 @ SV2243 @ SV1583 @ SV2425 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV296 @ SV739 ) @ SV1950 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4107]) ).
thf(4436,plain,
! [SV2426: $i,SV2244: $i,SV1951: $i,SV1584: $i,SV1178: $i,SV740: $i,SV297: $i] :
( ( ( c_List_Olist__all2 @ SV297 @ ( c_List_Olist_OCons @ SV740 @ SV1178 @ SV1584 ) @ ( c_List_Olist_OCons @ SV1951 @ SV2244 @ SV2426 ) @ SV1584 @ SV2426 )
| ~ ( c_List_Olist__all2 @ SV297 @ SV1178 @ SV2244 @ SV1584 @ SV2426 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV297 @ SV740 ) @ SV1951 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4108]) ).
thf(4437,plain,
! [SV2245: $i,SV1952: $i,SV1585: $i,SV1179: $i,SV741: $i,SV298: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV298 @ SV741 @ SV1179 @ SV1585 )
= ( c_Expr_Oexp_OSeq @ SV1952 @ SV2245 @ SV1585 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4109]) ).
thf(4438,plain,
! [SV2246: $i,SV1953: $i,SV1586: $i,SV1180: $i,SV742: $i,SV299: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV299 @ SV742 @ SV1180 )
= ( c_Expr_Oexp_OBinOp @ SV1586 @ SV1953 @ SV2246 @ SV1180 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4110]) ).
thf(4439,plain,
! [SV2427: $i,SV2247: $i,SV1954: $i,SV1587: $i,SV1181: $i,SV744: $i,SV301: $i] :
( ( ! [SY9649: $i] :
( ( c_Expr_Oexp_OBinOp @ SV301 @ SV744 @ SV1181 @ SV1587 )
!= ( c_Expr_Oexp_OFAss @ SV1954 @ SV2247 @ SV2427 @ SY9649 @ SV1587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4111]) ).
thf(4440,plain,
! [SV2248: $i,SV1955: $i,SV1588: $i,SV1182: $i,SV745: $i,SV302: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV302 @ SV745 @ SV1182 @ SV1588 )
= ( c_Expr_Oexp_OWhile @ SV1955 @ SV2248 @ SV1588 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4112]) ).
thf(4441,plain,
! [SV2428: $i,SV2249: $i,SV1957: $i,SV1590: $i,SV1184: $i,SV747: $i,SV304: $i] :
( ( ! [SY9650: $i,SY9651: $i] :
( ( c_Expr_Oexp_OFAss @ SV304 @ SV747 @ SV1184 @ SV1590 @ SV1957 )
!= ( c_Expr_Oexp_OTryCatch @ SV2249 @ SV2428 @ SY9650 @ SY9651 @ SV1957 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4114]) ).
thf(4442,plain,
! [SV2429: $i,SV2250: $i,SV1958: $i,SV1591: $i,SV1185: $i,SV748: $i,SV305: $i] :
( ( ( c_Expr_Oexp_OCond @ SV305 @ SV748 @ SV1185 @ SV1591 )
!= ( c_Expr_Oexp_OBinOp @ SV1958 @ SV2250 @ SV2429 @ SV1591 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4115]) ).
thf(4443,plain,
! [SV2430: $i,SV2251: $i,SV1959: $i,SV1592: $i,SV1186: $i,SV749: $i,SV306: $i] :
( ( ! [SY9652: $i] :
( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SV1592 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1959 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SV2251 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2430 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9652 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1592 @ SV1959 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2251 @ SV2430 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9652 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4116]) ).
thf(4444,plain,
! [SV2431: $i,SV2252: $i,SV1960: $i,SV1593: $i,SV1187: $i,SV750: $i,SV307: $i] :
( ( ( c_SmallStep_Oredp @ SV307 @ ( c_Expr_Oexp_OCond @ SV750 @ SV1187 @ SV1593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1960 @ ( c_Expr_Oexp_OCond @ SV2252 @ SV1187 @ SV1593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2431 )
| ~ ( c_SmallStep_Oredp @ SV307 @ SV750 @ SV1960 @ SV2252 @ SV2431 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4117]) ).
thf(4445,plain,
! [SV2432: $i,SV2253: $i,SV1961: $i,SV1594: $i,SV1188: $i,SV751: $i,SV308: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV308 @ SV751 @ SV1188 @ SV1594 )
!= ( c_Expr_Oexp_OFAcc @ SV1961 @ SV2253 @ SV2432 @ SV1594 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4118]) ).
thf(4446,plain,
! [SV1962: $i,SV1189: $i,SV1595: $i,SV752: $i,SV2433: $i,SV309: $i] :
( ( ( ! [SY9653: $i] :
~ ( c_List_Olist__all2 @ SV309 @ ( c_List_Olist_OCons @ SV2433 @ SV752 @ SV1595 ) @ ( c_List_Olist_OCons @ SY9653 @ SV1189 @ SV1962 ) @ SV1595 @ SV1962 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV309 @ SV752 @ SV1189 @ SV1595 @ SV1962 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4119]) ).
thf(4447,plain,
! [SV2434: $i,SV2254: $i,SV1963: $i,SV1596: $i,SV1190: $i,SV753: $i,SV310: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV310 @ SV753 @ SV1190 @ SV1596 @ SV1963 )
!= ( c_Expr_Oexp_OWhile @ SV2254 @ SV2434 @ SV1963 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4120]) ).
thf(4448,plain,
! [SV2435: $i,SV754: $i,SV1964: $i,SV1597: $i,SV311: $i,SV1191: $i] :
( ( ( ! [SY9654: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1191 @ ( c_Pair @ SV311 @ SV1597 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1964 @ ( c_Pair @ SV754 @ SV2435 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SY9654 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Objects_Ohext @ SV311 @ SV754 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4121]) ).
thf(4449,plain,
! [SV2436: $i,SV2255: $i,SV1965: $i,SV1598: $i,SV1192: $i,SV755: $i,SV312: $i] :
( ( ! [SY9655: $i,SY9656: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV312 @ SV755 @ SV1192 @ SV1598 @ SV1965 )
!= ( c_Expr_Oexp_OFAss @ SV2255 @ SV2436 @ SY9655 @ SY9656 @ SV1965 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4122]) ).
thf(4450,plain,
! [SV2437: $i,SV2256: $i,SV1967: $i,SV1600: $i,SV1194: $i,SV757: $i,SV314: $i] :
( ( ! [SY9657: $i] :
( ( c_Expr_Oexp_OCond @ SV314 @ SV757 @ SV1194 @ SV1600 )
!= ( c_Expr_Oexp_OFAss @ SV1967 @ SV2256 @ SV2437 @ SY9657 @ SV1600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4124]) ).
thf(4451,plain,
! [SV2438: $i,SV2257: $i,SV1968: $i,SV1601: $i,SV1195: $i,SV758: $i,SV315: $i] :
( ( ! [SY9658: $i] :
( ( c_SmallStep_Oredp @ SV315 @ ( c_Expr_Oexp_OFAss @ SV758 @ SV1195 @ SV1601 @ SV1968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2257 @ ( c_Expr_Oexp_OFAss @ SV2438 @ SV1195 @ SV1601 @ SV1968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9658 )
| ~ ( c_SmallStep_Oredp @ SV315 @ SV758 @ SV2257 @ SV2438 @ SY9658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4125]) ).
thf(4452,plain,
! [SV2439: $i,SV2258: $i,SV1969: $i,SV1602: $i,SV1196: $i,SV759: $i,SV316: $i] :
( ( ( c_SmallStep_Oredp @ SV316 @ ( c_Expr_Oexp_OFAcc @ SV759 @ SV1196 @ SV1602 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1969 @ ( c_Expr_Oexp_OFAcc @ SV2258 @ SV1196 @ SV1602 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2439 )
| ~ ( c_SmallStep_Oredp @ SV316 @ SV759 @ SV1969 @ SV2258 @ SV2439 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4126]) ).
thf(4453,plain,
! [SV1603: $i,SV1970: $i,SV1197: $i,SV760: $i,SV317: $i] :
( ( ( ! [SY9188: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1970 @ SY9188 ) )
= $true )
| ( ( ! [SY8541: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1603 @ SY8541 ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ ( c_Expr_Oexp_OBinOp @ SV1603 @ c_Expr_Obop_OEq @ SV1970 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4127]) ).
thf(4454,plain,
! [SV2259: $i,SV1971: $i,SV1604: $i,SV1198: $i,SV761: $i,SV318: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV318 @ SV761 @ SV1198 )
= ( c_Expr_Oexp_OCond @ SV1604 @ SV1971 @ SV2259 @ SV1198 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4128]) ).
thf(4455,plain,
! [SV2440: $i,SV2260: $i,SV1972: $i,SV1605: $i,SV1199: $i,SV762: $i,SV320: $i] :
( ( ! [SY9659: $i] :
( ( c_SmallStep_Oredp @ SV320 @ ( c_Expr_Oexp_OTryCatch @ SV762 @ SV1199 @ SV1605 @ SV1972 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2260 @ ( c_Expr_Oexp_OTryCatch @ SV2440 @ SV1199 @ SV1605 @ SV1972 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9659 )
| ~ ( c_SmallStep_Oredp @ SV320 @ SV762 @ SV2260 @ SV2440 @ SY9659 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4129]) ).
thf(4456,plain,
! [SV2441: $i,SV2261: $i,SV1973: $i,SV1606: $i,SV1200: $i,SV763: $i,SV321: $i] :
( ( ! [SY9660: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV321 @ SV763 @ SV1200 @ SV1606 @ SV1973 )
!= ( c_Expr_Oexp_OFAcc @ SV2261 @ SV2441 @ SY9660 @ SV1973 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4130]) ).
thf(4457,plain,
! [SV2442: $i,SV2262: $i,SV1974: $i,SV1607: $i,SV1201: $i,SV764: $i,SV322: $i] :
( ( ( c_Expr_Oexp_OCond @ SV322 @ SV764 @ SV1201 @ SV1607 )
!= ( c_Expr_Oexp_OFAcc @ SV1974 @ SV2262 @ SV2442 @ SV1607 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4131]) ).
thf(4458,plain,
! [SV2263: $i,SV1975: $i,SV1608: $i,SV1202: $i,SV765: $i,SV323: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV323 @ SV765 @ SV1202 @ SV1608 @ SV1975 )
= ( c_Expr_Oexp_OVal @ SV2263 @ SV1975 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4132]) ).
thf(4459,plain,
! [SV2264: $i,SV1976: $i,SV1609: $i,SV1203: $i,SV766: $i,SV324: $i] :
( ( ( c_Expr_Oexp_OCond @ SV324 @ SV766 @ SV1203 @ SV1609 )
= ( c_Expr_Oexp_OWhile @ SV1976 @ SV2264 @ SV1609 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4133]) ).
thf(4460,plain,
! [SV2265: $i,SV1977: $i,SV1610: $i,SV1204: $i,SV767: $i,SV325: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV325 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV1610 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1977 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2265 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV325 @ SV1204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1610 @ SV1977 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2265 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4134]) ).
thf(4461,plain,
! [SV2443: $i,SV1207: $i,SV1979: $i,SV1615: $i,SV772: $i,SV331: $i] :
( ( ( ! [SY9661: $i] :
~ ( c_List_Olist__all2 @ SV331 @ ( c_List_Olist_OCons @ SV772 @ SV1615 @ SV1979 ) @ ( c_List_Olist_OCons @ SV1207 @ SV2443 @ SY9661 ) @ SV1979 @ SY9661 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ SV331 @ SV772 ) @ SV1207 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4136]) ).
thf(4462,plain,
! [SV2444: $i,SV2266: $i,SV1980: $i,SV1616: $i,SV1208: $i,SV773: $i,SV332: $i] :
( ( ( c_SmallStep_Oredp @ SV332 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SV1616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1980 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SV2266 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2444 )
| ~ ( c_SmallStep_Oredp @ SV332 @ SV1616 @ SV1980 @ SV2266 @ SV2444 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4137]) ).
thf(4463,plain,
! [SV2445: $i,SV2267: $i,SV1981: $i,SV1617: $i,SV1209: $i,SV774: $i,SV333: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV333 @ SV774 @ SV1209 @ SV1617 )
!= ( c_Expr_Oexp_OCond @ SV1981 @ SV2267 @ SV2445 @ SV1617 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4138]) ).
thf(4464,plain,
! [SV334: $i,SV2268: $i,SV775: $i,SV1982: $i,SV1210: $i] :
( ( ( c_BigStep_Oeval @ SV1210 @ ( c_Expr_Oexp_OVal @ SV1982 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV775 @ SV2268 @ SV334 )
= $false )
| ( ( SV334 = SV775 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4139]) ).
thf(4465,plain,
! [SV2446: $i,SV2269: $i,SV1983: $i,SV1618: $i,SV1211: $i,SV776: $i,SV335: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV335 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1618 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV1983 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2269 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2446 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV335 @ SV1618 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1983 @ SV2269 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2446 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4140]) ).
thf(4466,plain,
! [SV2447: $i,SV2270: $i,SV1984: $i,SV1619: $i,SV1212: $i,SV777: $i,SV336: $i] :
( ( ! [SY9662: $i] :
( ( c_Expr_Oexp_OFAss @ SV336 @ SV777 @ SV1212 @ SV1619 @ SV1984 )
!= ( c_Expr_Oexp_OCond @ SV2270 @ SV2447 @ SY9662 @ SV1984 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4141]) ).
thf(4467,plain,
! [SV2271: $i,SV1620: $i,SV1213: $i,SV778: $i,SV337: $i] :
( ( ( ( c_Expr_Oexp_OWhile @ SV337 @ SV778 @ SV1213 )
= ( c_Expr_Oexp_OWhile @ SV1620 @ SV2271 @ SV1213 ) )
= $false )
| ( ( SV337 = SV1620 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4142]) ).
thf(4468,plain,
! [SV1985: $i,SV1621: $i,SV1214: $i,SV779: $i,SV338: $i] :
( ( ( ( c_Expr_Oexp_OWhile @ SV338 @ SV779 @ SV1214 )
= ( c_Expr_Oexp_OWhile @ SV1621 @ SV1985 @ SV1214 ) )
= $false )
| ( ( SV779 = SV1985 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4143]) ).
thf(4469,plain,
! [SV2448: $i,SV2272: $i,SV1986: $i,SV1622: $i,SV1215: $i,SV780: $i,SV339: $i] :
( ( ! [SY9663: $i] :
( ( c_Expr_Oexp_OBinOp @ SV339 @ SV780 @ SV1215 @ SV1622 )
!= ( c_Expr_Oexp_OTryCatch @ SV1986 @ SV2272 @ SV2448 @ SY9663 @ SV1622 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4144]) ).
thf(4470,plain,
! [SV2449: $i,SV2273: $i,SV1988: $i,SV1624: $i,SV1219: $i,SV784: $i,SV343: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV343 @ SV784 @ SV1219 )
!= ( c_Expr_Oexp_OFAss @ SV1624 @ SV1988 @ SV2273 @ SV2449 @ SV1219 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4146]) ).
thf(4471,plain,
! [SV2450: $i,SV2275: $i,SV1990: $i,SV1626: $i,SV1221: $i,SV786: $i,SV345: $i] :
( ( ! [SY9664: $i] :
( ( c_Expr_Oexp_OFAss @ SV345 @ SV786 @ SV1221 @ SV1626 @ SV1990 )
!= ( c_Expr_Oexp_OBinOp @ SV2275 @ SV2450 @ SY9664 @ SV1990 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4148]) ).
thf(4472,plain,
! [SV2451: $i,SV2276: $i,SV1991: $i,SV1627: $i,SV1222: $i,SV787: $i,SV346: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV346 @ SV787 @ SV1222 )
!= ( c_Expr_Oexp_OFAss @ SV1627 @ SV1991 @ SV2276 @ SV2451 @ SV1222 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4149]) ).
thf(4473,plain,
! [SV1628: $i,SV788: $i,SV1992: $i,SV2452: $i,SV1223: $i,SV347: $i] :
( ( ( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV347 @ SV1223 ) @ SV2452 @ SV1992 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SV2452 @ tc_Value_Oval @ tc_Type_Oty ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SV1992 @ tc_Value_Oval @ tc_Type_Oty )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4150]) ).
thf(4474,plain,
! [SV1994: $i,SV1630: $i,SV1226: $i,SV791: $i,SV350: $i] :
( ( ( ( c_Expr_Oexp_OSeq @ SV350 @ SV791 @ SV1226 )
= ( c_Expr_Oexp_OSeq @ SV1630 @ SV1994 @ SV1226 ) )
= $false )
| ( ( SV791 = SV1994 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4153]) ).
thf(4475,plain,
! [SV2277: $i,SV1631: $i,SV1227: $i,SV792: $i,SV351: $i] :
( ( ( ( c_Expr_Oexp_OSeq @ SV351 @ SV792 @ SV1227 )
= ( c_Expr_Oexp_OSeq @ SV1631 @ SV2277 @ SV1227 ) )
= $false )
| ( ( SV351 = SV1631 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4154]) ).
thf(4476,plain,
! [SV2453: $i,SV2278: $i,SV1995: $i,SV1633: $i,SV1229: $i,SV794: $i,SV353: $i] :
( ( ! [SY9665: $i] :
( ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ SV1633 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV1995 @ SV1229 @ SV353 @ SV2278 @ SV2453 @ SV1633 @ SY9665 @ SV794 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ ( c_Expr_Oexp_OTryCatch @ SV1633 @ SV1995 @ SV2453 @ SY9665 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4155]) ).
thf(4477,plain,
! [SV795: $i,SV2454: $i,SV1996: $i,SV354: $i,SV1634: $i,SV1230: $i] :
( ( ( ! [SY9666: $i] :
~ ( c_BigStep_Oevals @ SV1230 @ SV1634 @ ( c_Pair @ SV354 @ SV1996 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SV2454 @ ( c_Pair @ SV795 @ SY9666 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Objects_Ohext @ SV354 @ SV795 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4156]) ).
thf(4478,plain,
! [SV2279: $i,SV1997: $i,SV1231: $i,SV796: $i,SV355: $i] :
( ( ( c_WellType_OWT @ SV355 @ SV796 @ ( c_Expr_Oexp_OWhile @ SV1231 @ SV1997 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2279 )
= $false )
| ( ( c_WellType_OWT @ SV355 @ SV796 @ SV1231 @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4157]) ).
thf(4479,plain,
! [SV1998: $i,SV1635: $i,SV356: $i,SV797: $i,SV1232: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1232 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) ) ) )
= $true )
| ( ( ! [SY9232: $i] :
~ ( c_WellType_OWT @ SV1232 @ SV797 @ ( c_Expr_Oexp_OCond @ SY9232 @ SV1635 @ SV1998 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV356 ) )
= $true )
| ( ( SV356
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4158]) ).
thf(4480,plain,
! [SV2280: $i,SV1999: $i,SV1636: $i,SV1233: $i,SV798: $i,SV357: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
| ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2280 @ SV1233 )
| ! [SY9543: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9543 @ SV798 )
| ! [SY9544: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9544 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SY9544 @ SY9543 @ SV2280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4159]) ).
thf(4481,plain,
! [SV2281: $i,SV2000: $i,SV1637: $i,SV1234: $i,SV799: $i,SV358: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) ) )
= $true )
| ( ( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2281 @ SV1234 )
| ! [SY9545: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9545 @ SV799 )
| ! [SY9546: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9546 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SY9546 @ SY9545 @ SV2281 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4160]) ).
thf(4482,plain,
! [SV800: $i,SV2001: $i,SV1638: $i,SV1235: $i,SV2455: $i,SV359: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV2455 @ SV1235 ) @ SV1638 ) @ SV2001 ) )
| ~ ( c_Objects_Ohext @ SV2455 @ SV800 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV800 @ SV1235 ) @ SV1638 ) @ SV2001 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4161]) ).
thf(4483,plain,
! [SV2002: $i,SV1639: $i,SV1236: $i,SV361: $i,SV801: $i,SV2456: $i] :
( ( ( ~ ( c_Objects_Ohext @ SV2456 @ SV801 )
| ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV2456 @ SV1236 ) @ SV1639 @ SV2002 @ tc_Value_Oval @ tc_Type_Oty ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV801 @ SV1236 ) @ SV1639 @ SV2002 @ tc_Value_Oval @ tc_Type_Oty )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4162]) ).
thf(4484,plain,
! [SV802: $i,SV1640: $i,SV362: $i] :
( ( ( c_Objects_Ohext @ SV362 @ SV1640 )
= $false )
| ( ( c_Objects_Ohext @ SV1640 @ SV802 )
= $false )
| ( ( c_Objects_Ohext @ SV362 @ SV802 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4163]) ).
thf(4485,plain,
! [SV2457: $i,SV2283: $i,SV1642: $i,SV1239: $i,SV805: $i,SV365: $i] :
( ( ( ~ ( c_WellType_OWT @ SV365 @ SV805 @ ( c_Expr_Oexp_OCond @ SV1239 @ SV1642 @ SV2283 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2457 ) )
= $true )
| ( ( c_WellType_OWT @ SV365 @ SV805 @ SV1239 @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4165]) ).
thf(4486,plain,
! [SV2458: $i,SV2284: $i,SV2004: $i,SV1643: $i,SV1240: $i,SV806: $i,SV366: $i] :
( ( ! [SY9667: $i] :
( ( c_Expr_Oexp_OCond @ SV366 @ SV806 @ SV1240 @ SV1643 )
!= ( c_Expr_Oexp_OTryCatch @ SV2004 @ SV2284 @ SV2458 @ SY9667 @ SV1643 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4166]) ).
thf(4487,plain,
! [SV2459: $i,SV2006: $i,SV810: $i,SV1646: $i,SV1242: $i,SV370: $i] :
( ( ( ! [SY9668: $i] :
~ ( c_WellType_OWT @ SV370 @ SV1242 @ ( c_Expr_Oexp_OTryCatch @ SV1646 @ SV810 @ SV2006 @ SV2459 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9668 ) )
= $true )
| ( ( c_Decl_Ois__class @ SV370 @ SV810 @ ( 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)],[4168]) ).
thf(4488,plain,
! [SV2285: $i,SV2007: $i,SV1647: $i,SV1243: $i,SV811: $i,SV371: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ SV1647 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV1243 @ SV371 @ SV2007 @ SV2285 @ SV1647 @ SV811 ) )
= $true )
| ( ( ! [SY9550: $i] :
~ ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ ( c_Expr_Oexp_OCond @ SY9550 @ SV2285 @ SV1647 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2007 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4169]) ).
thf(4489,plain,
! [SV2286: $i,SV2008: $i,SV1648: $i,SV1244: $i,SV812: $i,SV372: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ SV1648 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV1244 @ SV372 @ SV2008 @ SV1648 @ SV2286 @ SV812 ) )
= $true )
| ( ( ! [SY9551: $i] :
~ ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ ( c_Expr_Oexp_OCond @ SY9551 @ SV1648 @ SV2286 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2008 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4170]) ).
thf(4490,plain,
! [SV1245: $i,SV1649: $i,SV813: $i,SV2460: $i,SV2287: $i,SV373: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV373 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2287 ) @ SV2460 ) )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1649 @ SV2460 )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1245 @ SV2287 ) )
= $true )
| ( ( c_WellType_OWT @ SV373 @ SV813 @ ( c_Expr_Oexp_OBinOp @ SV1245 @ c_Expr_Obop_OEq @ SV1649 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4171]) ).
thf(4491,plain,
! [SV1246: $i,SV1650: $i,SV814: $i,SV2461: $i,SV2288: $i,SV374: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV374 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2288 ) @ SV2461 ) )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1650 @ SV2288 )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1246 @ SV2461 ) )
= $true )
| ( ( c_WellType_OWT @ SV374 @ SV814 @ ( c_Expr_Oexp_OBinOp @ SV1246 @ c_Expr_Obop_OEq @ SV1650 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4172]) ).
thf(4492,plain,
! [SV2289: $i,SV2010: $i,SV1652: $i,SV1248: $i,SV816: $i,SV376: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV376 @ SV816 @ SV1248 )
= ( c_Expr_Oexp_OCond @ SV1652 @ SV2010 @ SV2289 @ SV1248 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4174]) ).
thf(4493,plain,
! [SV2290: $i,SV2011: $i,SV1653: $i,SV1249: $i,SV817: $i,SV377: $i] :
( ( ( SV377
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1249 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) ) )
| ! [SY9554: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1249 @ SV2290 @ SV817 @ ( c_Expr_Oexp_OCond @ SY9554 @ SV1653 @ SV2011 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV377 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4175]) ).
thf(4494,plain,
! [SV818: $i,SV1654: $i,SV1250: $i,SV378: $i] :
( ( ( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SV1654 @ SV818 ) )
= $true )
| ( ( ! [SY8650: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY8650 @ SV818 )
| ! [SY8651: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY8651 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV378 @ SV1250 @ ( c_Expr_Oexp_OCond @ SY8651 @ SY8650 @ SV1654 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4176]) ).
thf(4495,plain,
! [SV380: $i,SV1655: $i,SV1252: $i,SV820: $i,SV2291: $i] :
( ( ( ~ ( c_Map_Omap__le @ SV2291 @ SV820 @ SV1252 @ SV1655 ) )
= $true )
| ( ( ~ ( c_Map_Omap__le @ SV380 @ SV2291 @ SV1252 @ SV1655 ) )
= $true )
| ( ( c_Map_Omap__le @ SV380 @ SV820 @ SV1252 @ SV1655 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4177]) ).
thf(4496,plain,
! [SV1656: $i,SV1253: $i,SV381: $i,SV821: $i,SV2292: $i] :
( ( ( ~ ( c_Map_Omap__le @ SV2292 @ SV821 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty ) )
= $true )
| ( ( ~ ( c_WellType_OWT @ SV381 @ SV2292 @ SV1253 @ SV1656 ) )
= $true )
| ( ( c_WellType_OWT @ SV381 @ SV821 @ SV1253 @ SV1656 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4178]) ).
thf(4497,plain,
! [SV822: $i,SV2462: $i,SV2012: $i,SV382: $i,SV1657: $i,SV1254: $i] :
( ( ( ! [SY9669: $i] :
~ ( c_BigStep_Oeval @ SV1254 @ SV1657 @ ( c_Pair @ SV382 @ SV2012 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SV2462 @ ( c_Pair @ SV822 @ SY9669 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Objects_Ohext @ SV382 @ SV822 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4179]) ).
thf(4498,plain,
! [SV2013: $i,SV1658: $i,SV1255: $i,SV823: $i,SV383: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
= $false )
| ( ( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2013 @ SV823 )
| ! [SY9256: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9256 @ SV823 )
| ! [SY9257: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9257 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ ( c_Expr_Oexp_OCond @ SY9257 @ SY9256 @ SV2013 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4180]) ).
thf(4499,plain,
! [SV1659: $i,SV2463: $i,SV2014: $i,SV1256: $i,SV824: $i,SV384: $i] :
( ( ( ! [SY9670: $i] :
~ ( c_WellType_OWT @ SV384 @ SV824 @ ( c_Expr_Oexp_OTryCatch @ SV1256 @ SV2014 @ SV2463 @ SY9670 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1659 ) )
= $true )
| ( ( c_WellType_OWT @ SV384 @ SV824 @ SV1256 @ SV1659 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4181]) ).
thf(4500,plain,
! [SV2464: $i,SV2015: $i,SV1660: $i,SV1257: $i,SV825: $i,SV385: $i] :
( ( ( ! [SY9671: $i] : ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ ( c_Expr_Oexp_OFAcc @ SV1660 @ SV2015 @ SV2464 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9671 ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ SV1660 @ c_Type_Oty_ONT ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4182]) ).
thf(4501,plain,
! [SV2293: $i,SV2016: $i,SV1661: $i,SV1258: $i,SV826: $i,SV386: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) )
| ! [SY9555: $i] :
~ ( c_WellTypeRT_OWTrt @ SV386 @ SV2293 @ SV826 @ ( c_Expr_Oexp_OCond @ SY9555 @ SV1661 @ SV2016 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1258 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4183]) ).
thf(4502,plain,
! [SV2465: $i,SV2017: $i,SV1662: $i,SV1259: $i,SV827: $i,SV387: $i] :
( ( ( ! [SY9672: $i] : ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ ( c_Expr_Oexp_OFAcc @ SV1662 @ SV2017 @ SV2465 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9672 ) )
= $true )
| ( ( ~ ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ SV1662 @ c_Type_Oty_ONT ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4184]) ).
thf(4503,plain,
! [SV2466: $i,SV2294: $i,SV1663: $i,SV1260: $i,SV828: $i,SV388: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SV1260 @ ( c_Expr_Oexp_OWhile @ SV1663 @ SV2294 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2466 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SV1260 @ SV1663 @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4185]) ).
thf(4504,plain,
! [SV2295: $i,SV2018: $i,SV1664: $i,SV1261: $i,SV829: $i,SV389: $i] :
( ( ( c_Expr_Oexp_OCond @ SV389 @ SV829 @ SV1261 @ SV1664 )
= ( c_Expr_Oexp_OSeq @ SV2018 @ SV2295 @ SV1664 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4186]) ).
thf(4505,plain,
! [SV1263: $i,SV2019: $i,SV831: $i,SV1666: $i,SV391: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV391 @ SV1666 @ SV831 ) @ SV2019 ) @ SV1263 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV391 @ SV831 ) @ ( c_Conform_Osko__Conform__Xconf__def__1__1 @ SV391 @ SV1263 @ SV1666 @ SV2019 @ SV831 ) ) @ SV1263 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4187]) ).
thf(4506,plain,
! [SV2296: $i,SV2020: $i,SV1667: $i,SV1264: $i,SV832: $i,SV392: $i] :
( ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ ( c_List_Olist_OCons @ SV1264 @ SV1667 @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ SV2020 @ SV2296 @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1667 @ SV2296 @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1264 ) @ SV2020 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4188]) ).
thf(4507,plain,
! [SV2021: $i,SV1668: $i,SV393: $i,SV833: $i] :
( ( ( c_Map_Omap__le @ SV833 @ SV393 @ SV1668 @ SV2021 )
= $false )
| ( ( ~ ( c_Map_Omap__le @ SV393 @ SV833 @ SV1668 @ SV2021 ) )
= $true )
| ( ( SV393 = SV833 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4189]) ).
thf(4508,plain,
! [SV2297: $i,SV2022: $i,SV1669: $i,SV1265: $i,SV834: $i,SV394: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV394 @ SV834 @ SV1265 @ SV1669 @ SV2022 )
= ( c_Expr_Oexp_OVal @ SV2297 @ SV2022 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4190]) ).
thf(4509,plain,
! [SV2467: $i,SV2298: $i,SV2024: $i,SV1671: $i,SV1266: $i,SV836: $i,SV396: $i] :
( ( ! [SY9673: $i] :
( ( c_BigStep_Oeval @ SV396 @ ( c_Expr_Oexp_OTryCatch @ SV836 @ SV1266 @ SV1671 @ SV2024 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2298 @ ( c_Expr_Oexp_OVal @ SV2467 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9673 )
| ~ ( c_BigStep_Oeval @ SV396 @ SV836 @ SV2298 @ ( c_Expr_Oexp_OVal @ SV2467 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9673 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4192]) ).
thf(4510,plain,
! [SV2468: $i,SV2299: $i,SV2025: $i,SV1672: $i,SV1267: $i,SV837: $i,SV397: $i] :
( ( ! [SY9674: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV397 @ SV837 @ SV1267 @ SV1672 @ SV2025 )
!= ( c_Expr_Oexp_OCond @ SV2299 @ SV2468 @ SY9674 @ SV2025 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4193]) ).
thf(4511,plain,
! [SV2026: $i,SV1673: $i,SV1268: $i,SV838: $i,SV398: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
= $false )
| ( ( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SV2026 @ SV1268 )
| ! [SY9275: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9275 @ SV838 )
| ! [SY9276: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9276 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SY9276 @ SY9275 @ SV2026 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4194]) ).
thf(4512,plain,
! [SV2027: $i,SV1674: $i,SV839: $i,SV1269: $i,SV399: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) ) )
= $true )
| ( ( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SV2027 @ SV1269 )
| ! [SY9277: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9277 @ SV839 )
| ! [SY9278: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9278 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SY9278 @ SY9277 @ SV2027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4195]) ).
thf(4513,plain,
! [SV2300: $i,SV2028: $i,SV1675: $i,SV1270: $i,SV840: $i,SV400: $i] :
( ( ( c_BigStep_Oeval @ SV400 @ ( c_Expr_Oexp_OSeq @ SV840 @ SV1270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1675 @ SV2028 @ SV2300 )
= $true )
| ( ( ! [SY9561: $i] :
( ~ ( c_BigStep_Oeval @ SV400 @ SV1270 @ SY9561 @ SV2028 @ SV2300 )
| ! [SY8700: $i] :
~ ( c_BigStep_Oeval @ SV400 @ SV840 @ SV1675 @ ( c_Expr_Oexp_OVal @ SY8700 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9561 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4196]) ).
thf(4514,plain,
! [SV2301: $i,SV2029: $i,SV1676: $i,SV1271: $i,SV841: $i,SV401: $i] :
( ( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ ( c_Expr_Oexp_OSeq @ SV1676 @ SV2029 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2301 )
= $true )
| ( ( ~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV2029 @ SV2301 )
| ! [SY8703: $i] :
~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV1676 @ SY8703 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4197]) ).
thf(4515,plain,
! [SV2469: $i,SV2030: $i,SV1677: $i,SV1272: $i,SV842: $i,SV402: $i] :
( ( ( ! [SY9675: $i] :
~ ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ ( c_Expr_Oexp_OCond @ SV1677 @ SV2030 @ SV2469 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9675 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ SV1677 @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4198]) ).
thf(4516,plain,
! [SV1678: $i,SV1273: $i,SV2031: $i,SV2470: $i,SV843: $i,SV403: $i] :
( ( ( ~ ( c_WellType_OWT @ SV403 @ SV843 @ ( c_Expr_Oexp_OCond @ SV2470 @ SV2031 @ SV1273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1678 ) )
= $true )
| ( ( c_WellType_OWT @ SV403 @ SV843 @ SV1273 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV843 @ SV403 @ SV1678 @ SV2031 @ SV1273 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4199]) ).
thf(4517,plain,
! [SV1679: $i,SV2032: $i,SV1274: $i,SV2471: $i,SV844: $i,SV404: $i] :
( ( ( ~ ( c_WellType_OWT @ SV404 @ SV844 @ ( c_Expr_Oexp_OCond @ SV2471 @ SV1274 @ SV2032 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1679 ) )
= $true )
| ( ( c_WellType_OWT @ SV404 @ SV844 @ SV1274 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV844 @ SV404 @ SV1679 @ SV1274 @ SV2032 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4200]) ).
thf(4518,plain,
! [SV1275: $i,SV2033: $i,SV845: $i,SV1680: $i,SV405: $i] :
( ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV405 @ SV1680 @ SV845 ) @ SV2033 @ SV1275 @ tc_Value_Oval @ tc_Type_Oty )
= $false )
| ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV405 @ SV845 ) @ ( c_Conform_Osko__Conform__Xconfs__conv__map__1__1 @ SV405 @ SV1275 @ SV1680 @ SV2033 @ SV845 ) @ SV1275 @ tc_Type_Oty @ tc_Type_Oty )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4201]) ).
thf(4519,plain,
! [SV2302: $i,SV2034: $i,SV1681: $i,SV1276: $i,SV846: $i,SV406: $i] :
( ( ( SV406
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1276 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) ) )
| ! [SY9564: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1276 @ SV2302 @ SV846 @ ( c_Expr_Oexp_OCond @ SY9564 @ SV1681 @ SV2034 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV406 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4202]) ).
thf(4520,plain,
! [SV2035: $i,SV1682: $i,SV1277: $i,SV847: $i,SV407: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) )
= $true )
| ( ( ! [SY9290: $i] :
~ ( c_WellType_OWT @ SV407 @ SV847 @ ( c_Expr_Oexp_OCond @ SY9290 @ SV1682 @ SV2035 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1277 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4203]) ).
thf(4521,plain,
! [SV2472: $i,SV2036: $i,SV1683: $i,SV1278: $i,SV848: $i,SV408: $i] :
( ( ( ( c_Pair @ SV408 @ SV848 @ SV1278 @ SV1683 )
!= ( c_Pair @ SV2036 @ SV2472 @ SV1278 @ SV1683 ) )
= $true )
| ( ( SV408 = SV2036 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4204]) ).
thf(4522,plain,
! [SV2303: $i,SV2037: $i,SV1684: $i,SV1279: $i,SV849: $i,SV409: $i] :
( ( ( ( c_Pair @ SV409 @ SV849 @ SV1279 @ SV1684 )
!= ( c_Pair @ SV2037 @ SV2303 @ SV1279 @ SV1684 ) )
= $true )
| ( ( SV849 = SV2303 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4205]) ).
thf(4523,plain,
! [SV2304: $i,SV2038: $i,SV1685: $i,SV1280: $i,SV850: $i,SV410: $i] :
( ( ( c_Expr_Oexp_OVal @ SV410 @ SV850 )
= ( c_Expr_Oexp_OTryCatch @ SV1280 @ SV1685 @ SV2038 @ SV2304 @ SV850 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4206]) ).
thf(4524,plain,
! [SV1281: $i,SV2039: $i,SV1686: $i,SV851: $i,SV411: $i] :
( ( ( ~ ( c_WellType_OWT @ SV411 @ SV851 @ SV1686 @ SV2039 ) )
= $true )
| ( ( ! [SY7788: $i] :
~ ( c_WellType_OWT @ SV411 @ SV851 @ SV1281 @ SY7788 ) )
= $true )
| ( ( c_WellType_OWT @ SV411 @ SV851 @ ( c_Expr_Oexp_OSeq @ SV1281 @ SV1686 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2039 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4207]) ).
thf(4525,plain,
! [SV2473: $i,SV2305: $i,SV2040: $i,SV1687: $i,SV1282: $i,SV852: $i,SV412: $i] :
( ( ( ( c_Expr_Oexp_OCond @ SV412 @ SV852 @ SV1282 @ SV1687 )
!= ( c_Expr_Oexp_OCond @ SV2040 @ SV2305 @ SV2473 @ SV1687 ) )
| ( SV1282 = SV2473 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4208]) ).
thf(4526,plain,
! [SV2306: $i,SV2041: $i,SV1688: $i,SV1283: $i,SV853: $i,SV413: $i] :
( ( ( ! [SY9566: $i] :
( ( c_Expr_Oexp_OCond @ SV413 @ SV853 @ SV1283 @ SV1688 )
!= ( c_Expr_Oexp_OCond @ SV2041 @ SV2306 @ SY9566 @ SV1688 ) ) )
= $true )
| ( ( SV853 = SV2306 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4209]) ).
thf(4527,plain,
! [SV2474: $i,SV2042: $i,SV1689: $i,SV1284: $i,SV854: $i,SV414: $i] :
( ( ( ! [SY9676: $i] :
( ( c_Expr_Oexp_OCond @ SV414 @ SV854 @ SV1284 @ SV1689 )
!= ( c_Expr_Oexp_OCond @ SV2042 @ SV2474 @ SY9676 @ SV1689 ) ) )
= $true )
| ( ( SV414 = SV2042 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4210]) ).
thf(4528,plain,
! [SV2043: $i,SV1690: $i,SV415: $i,SV855: $i,SV1285: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1285 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) ) ) )
= $true )
| ( ( ! [SY9301: $i] :
~ ( c_WellType_OWT @ SV1285 @ SV855 @ ( c_Expr_Oexp_OCond @ SY9301 @ SV1690 @ SV2043 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV415 ) )
= $true )
| ( ( SV415
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4211]) ).
thf(4529,plain,
! [SV2475: $i,SV2307: $i,SV2044: $i,SV1691: $i,SV1286: $i,SV856: $i,SV416: $i] :
( ( ! [SY9677: $i,SY9678: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV416 @ SV856 @ SV1286 @ SV1691 @ SV2044 )
!= ( c_Expr_Oexp_OTryCatch @ SV2307 @ SV2475 @ SY9677 @ SY9678 @ SV2044 ) )
| ( SV1691 = SY9678 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4212]) ).
thf(4530,plain,
! [SV2476: $i,SV2308: $i,SV2045: $i,SV1692: $i,SV1287: $i,SV857: $i,SV417: $i] :
( ( ! [SY9679: $i] :
( ! [SY9680: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV417 @ SV857 @ SV1287 @ SV1692 @ SV2045 )
!= ( c_Expr_Oexp_OTryCatch @ SV2308 @ SV2476 @ SY9679 @ SY9680 @ SV2045 ) )
| ( SV1287 = SY9679 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4213]) ).
thf(4531,plain,
! [SV2477: $i,SV2309: $i,SV2046: $i,SV1693: $i,SV1288: $i,SV858: $i,SV418: $i] :
( ( ! [SY9681: $i,SY9682: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV418 @ SV858 @ SV1288 @ SV1693 @ SV2046 )
!= ( c_Expr_Oexp_OTryCatch @ SV2309 @ SV2477 @ SY9681 @ SY9682 @ SV2046 ) )
| ( SV858 = SV2477 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4214]) ).
thf(4532,plain,
! [SV2478: $i,SV2310: $i,SV2047: $i,SV1694: $i,SV1289: $i,SV859: $i,SV419: $i] :
( ( ! [SY9683: $i,SY9684: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV419 @ SV859 @ SV1289 @ SV1694 @ SV2047 )
!= ( c_Expr_Oexp_OTryCatch @ SV2310 @ SV2478 @ SY9683 @ SY9684 @ SV2047 ) )
| ( SV419 = SV2310 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4215]) ).
thf(4533,plain,
! [SV2479: $i,SV2311: $i,SV2048: $i,SV1696: $i,SV1292: $i,SV863: $i,SV423: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV423 @ SV863 @ SV1292 @ SV1696 @ SV2048 )
!= ( c_Expr_Oexp_OSeq @ SV2311 @ SV2479 @ SV2048 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4216]) ).
thf(4534,plain,
! [SV2480: $i,SV2312: $i,SV2049: $i,SV1697: $i,SV1293: $i,SV864: $i,SV424: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV424 @ SV864 @ SV1293 )
!= ( c_Expr_Oexp_OTryCatch @ SV1697 @ SV2049 @ SV2312 @ SV2480 @ SV1293 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4217]) ).
thf(4535,plain,
! [SV2313: $i,SV2050: $i,SV1698: $i,SV1295: $i,SV870: $i,SV430: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ ( c_Expr_Oexp_OSeq @ SV1698 @ SV2050 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2313 )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV2050 @ SV2313 )
| ! [SY8764: $i] :
~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV1698 @ SY8764 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4222]) ).
thf(4536,plain,
! [SV2051: $i,SV1699: $i,SV1296: $i,SV872: $i,SV432: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
= $false )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2051 @ SV872 )
| ! [SY9324: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9324 @ SV872 )
| ! [SY9325: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9325 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ ( c_Expr_Oexp_OCond @ SY9325 @ SY9324 @ SV2051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4224]) ).
thf(4537,plain,
! [SV2052: $i,SV1700: $i,SV874: $i,SV434: $i,SV1297: $i,SV2481: $i] :
( ( ( ~ ( c_Map_Omap__le @ SV2481 @ SV1297 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SV2481 @ SV1700 @ SV2052 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SV1297 @ SV1700 @ SV2052 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4226]) ).
thf(4538,plain,
! [SV2053: $i,SV1701: $i,SV1298: $i,SV875: $i,SV435: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV435 @ SV875 @ SV1298 @ SV1701 @ SV2053 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV435 @ SV875 @ SV1298 @ SV1701 @ SV2053 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4227]) ).
thf(4539,plain,
! [SV2054: $i,SV1702: $i,SV1299: $i,SV876: $i,SV436: $i] :
( ( ( c_Progress_OWTrt_H @ SV436 @ SV876 @ SV1299 @ SV1702 @ SV2054 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV436 @ SV876 @ SV1299 @ SV1702 @ SV2054 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4228]) ).
thf(4540,plain,
! [SV2482: $i,SV2314: $i,SV2055: $i,SV1703: $i,SV1300: $i,SV877: $i,SV437: $i] :
( ( ! [SY9685: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV437 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV877 @ SV1300 @ SV437 @ SV1703 @ SV2055 @ SV2314 @ SV2482 @ SY9685 ) ) @ SV1703 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV437 @ SY9685 @ SV1300 @ ( c_Expr_Oexp_OTryCatch @ SV2314 @ SV877 @ SV2055 @ SV2482 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4229]) ).
thf(4541,plain,
! [SV1302: $i,SV1704: $i,SV2315: $i,SV879: $i,SV439: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV2315 ) @ SV1704 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SV2315 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SV1704 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4230]) ).
thf(4542,plain,
! [SV1705: $i,SV880: $i,SV2056: $i,SV2483: $i,SV1303: $i,SV440: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV440 @ SV1303 ) @ SV2483 ) @ SV2056 ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SV2483 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SV2056 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4231]) ).
thf(4543,plain,
! [SV881: $i,SV2057: $i,SV1706: $i,SV1304: $i,SV441: $i] :
( ( ( c_WellType_OWT @ SV441 @ SV1304 @ SV1706 @ SV2057 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV441 @ SV881 @ SV1304 @ SV1706 @ SV2057 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4232]) ).
thf(4544,plain,
! [SV2058: $i,SV1707: $i,SV1305: $i,SV442: $i,SV882: $i,SV2484: $i] :
( ( ( ~ ( c_Objects_Ohext @ SV2484 @ SV882 )
| ~ ( c_WellTypeRT_OWTrt @ SV442 @ SV2484 @ SV1305 @ SV1707 @ SV2058 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV442 @ SV882 @ SV1305 @ SV1707 @ SV2058 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4233]) ).
thf(4545,plain,
! [SV2316: $i,SV2059: $i,SV1708: $i,SV1306: $i,SV883: $i,SV443: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2316 @ SV1306 )
| ! [SY9584: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9584 @ SV883 )
| ! [SY9585: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9585 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SY9585 @ SY9584 @ SV2316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4234]) ).
thf(4546,plain,
! [SV2317: $i,SV2060: $i,SV1709: $i,SV1307: $i,SV884: $i,SV444: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2317 @ SV1307 )
| ! [SY9586: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9586 @ SV884 )
| ! [SY9587: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9587 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SY9587 @ SY9586 @ SV2317 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4235]) ).
thf(4547,plain,
! [SV1308: $i,SV1710: $i,SV2318: $i,SV886: $i,SV445: $i] :
( ( ( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV2318 @ SV1710 @ tc_Type_Oty @ tc_Type_Oty ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SV2318 @ tc_Type_Oty @ tc_Type_Oty ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SV1710 @ tc_Type_Oty @ tc_Type_Oty )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4236]) ).
thf(4548,plain,
! [SV1311: $i,SV452: $i,SV2061: $i,SV1713: $i,SV2485: $i,SV891: $i,SV3: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV3 @ SV891 @ SV2485 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2061 )
| ~ ( c_BigStep_Oeval @ SV3 @ SV452 @ SV1311 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2485 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV3 @ ( c_Expr_Oexp_OWhile @ SV452 @ SV891 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1311 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2061 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4238]) ).
thf(4549,plain,
! [SV2319: $i,SV2062: $i,SV1714: $i,SV1312: $i,SV892: $i,SV453: $i,SV6: $i] :
( ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1312 @ SV1714 @ SV2062 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 @ SV1714 @ SV2062 )
| ! [SY9588: $i] :
( ! [SY9589: $i] :
~ ( c_BigStep_Oeval @ SV6 @ SV892 @ SY9588 @ ( c_Expr_Oexp_OVal @ SY9589 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 )
| ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SV1312 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9588 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4239]) ).
thf(4550,plain,
! [SV2320: $i,SV2063: $i,SV1715: $i,SV1314: $i,SV894: $i,SV455: $i,SV8: $i] :
( ( ( c_BigStep_Oeval @ SV8 @ ( c_Expr_Oexp_OCond @ SV455 @ SV894 @ SV1314 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1715 @ SV2063 @ SV2320 )
= $true )
| ( ( ! [SY9590: $i] :
( ~ ( c_BigStep_Oeval @ SV8 @ SV894 @ SY9590 @ SV2063 @ SV2320 )
| ~ ( c_BigStep_Oeval @ SV8 @ SV455 @ SV1715 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9590 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4240]) ).
thf(4551,plain,
! [SV2321: $i,SV2065: $i,SV1719: $i,SV1319: $i,SV899: $i,SV460: $i,SV15: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9591: $i] :
( ! [SY9592: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SY9591 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9592 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9591 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4241]) ).
thf(4552,plain,
! [SV2322: $i,SV2066: $i,SV1720: $i,SV1320: $i,SV900: $i,SV461: $i,SV16: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV16 @ SV461 @ SV900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9593: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV461 @ SY9593 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV16 @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9593 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4242]) ).
thf(4553,plain,
! [SV21: $i,SV2068: $i,SV1724: $i,SV1325: $i,SV905: $i,SV466: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV466 @ SV905 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1724 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2068 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV21 @ SV466 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV905 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1325 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1724 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2068 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4244]) ).
thf(4554,plain,
! [SV2323: $i,SV2069: $i,SV1726: $i,SV1328: $i,SV908: $i,SV469: $i,SV24: $i] :
( ( ( c_Expr_Oexp_OCond @ SV24 @ SV469 @ SV908 @ SV1328 )
= ( c_Expr_Oexp_OBlock @ SV1726 @ SV2069 @ SV2323 @ SV1328 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4245]) ).
thf(4555,plain,
! [SV913: $i,SV2071: $i,SV1730: $i,SV1333: $i,SV474: $i,SV29: $i] :
( ( ( c_BigStep_Oeval @ SV29 @ SV474 @ SV1333 @ ( c_Expr_Oexp_Othrow @ SV1730 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2071 )
= $false )
| ( ( c_BigStep_Oeval @ SV29 @ ( c_Expr_Oexp_OSeq @ SV474 @ SV913 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1333 @ ( c_Expr_Oexp_Othrow @ SV1730 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2071 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4247]) ).
thf(4556,plain,
! [SV2324: $i,SV2072: $i,SV1731: $i,SV1334: $i,SV914: $i,SV475: $i,SV30: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV30 @ SV475 @ SV914 @ SV1334 )
= ( c_Expr_Oexp_OCond @ SV1731 @ SV2072 @ SV2324 @ SV1334 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4248]) ).
thf(4557,plain,
! [SV34: $i,SV2074: $i,SV1733: $i,SV1338: $i,SV918: $i,SV479: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV479 @ SV918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1338 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1733 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2074 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV34 @ SV479 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV918 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1338 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1733 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2074 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4250]) ).
thf(4558,plain,
! [SV2325: $i,SV2076: $i,SV1735: $i,SV1341: $i,SV921: $i,SV482: $i,SV37: $i] :
( ( ( c_SmallStep_Oredp @ SV37 @ ( c_Expr_Oexp_OCall @ SV482 @ SV921 @ SV1341 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1735 @ ( c_Expr_Oexp_OCall @ SV2076 @ SV921 @ SV1341 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2325 )
= $true )
| ( ( ~ ( c_SmallStep_Oredp @ SV37 @ SV482 @ SV1735 @ SV2076 @ SV2325 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4252]) ).
thf(4559,plain,
! [SV2326: $i,SV2078: $i,SV1737: $i,SV1343: $i,SV923: $i,SV484: $i,SV39: $i] :
( ( ( c_Expr_Oexp_OCast @ SV39 @ SV484 @ SV923 )
= ( c_Expr_Oexp_OTryCatch @ SV1343 @ SV1737 @ SV2078 @ SV2326 @ SV923 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4254]) ).
thf(4560,plain,
! [SV485: $i,SV2079: $i,SV1738: $i,SV1344: $i,SV924: $i,SV40: $i] :
( ( ( c_SmallStep_Oredp @ SV40 @ SV924 @ SV1344 @ SV1738 @ SV2079 )
= $false )
| ( ( c_SmallStep_Oredp @ SV40 @ ( c_Expr_Oexp_OLAss @ SV485 @ SV924 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1344 @ ( c_Expr_Oexp_OLAss @ SV485 @ SV1738 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2079 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4255]) ).
thf(4561,plain,
! [SV2486: $i,SV2327: $i,SV2080: $i,SV1739: $i,SV1345: $i,SV925: $i,SV486: $i,SV41: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV41 @ SV486 @ SV925 @ SV1345 @ SV1739 )
!= ( c_Expr_Oexp_OCall @ SV2080 @ SV2327 @ SV2486 @ SV1739 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4256]) ).
thf(4562,plain,
! [SV2328: $i,SV2084: $i,SV1744: $i,SV1351: $i,SV931: $i,SV492: $i,SV47: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV47 @ SV492 @ SV931 @ SV1351 @ SV1744 )
= ( c_Expr_Oexp_OCast @ SV2084 @ SV2328 @ SV1744 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4262]) ).
thf(4563,plain,
! [SV2487: $i,SV2329: $i,SV2085: $i,SV1745: $i,SV1352: $i,SV932: $i,SV493: $i,SV48: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV48 @ SV493 @ SV932 @ SV1352 @ SV1745 )
!= ( c_Expr_Oexp_OBlock @ SV2085 @ SV2329 @ SV2487 @ SV1745 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4263]) ).
thf(4564,plain,
! [SV2330: $i,SV2086: $i,SV1747: $i,SV1355: $i,SV935: $i,SV496: $i,SV51: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV51 @ SV496 @ SV935 @ SV1355 )
= ( c_Expr_Oexp_OCall @ SV1747 @ SV2086 @ SV2330 @ SV1355 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4264]) ).
thf(4565,plain,
! [SV2488: $i,SV2331: $i,SV2087: $i,SV1748: $i,SV1356: $i,SV936: $i,SV497: $i,SV52: $i] :
( ( ( c_BigStep_Oeval @ SV52 @ ( c_Expr_Oexp_OFAss @ SV497 @ SV936 @ SV1356 @ SV1748 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2087 @ ( c_Expr_Oexp_Othrow @ SV2331 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2488 )
| ~ ( c_BigStep_Oeval @ SV52 @ SV497 @ SV2087 @ ( c_Expr_Oexp_Othrow @ SV2331 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2488 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4265]) ).
thf(4566,plain,
! [SV2332: $i,SV2090: $i,SV1751: $i,SV1361: $i,SV941: $i,SV502: $i,SV57: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV57 @ SV502 @ SV941 @ SV1361 )
= ( c_Expr_Oexp_OBlock @ SV1751 @ SV2090 @ SV2332 @ SV1361 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4268]) ).
thf(4567,plain,
! [SV503: $i,SV2091: $i,SV1752: $i,SV1362: $i,SV942: $i,SV58: $i] :
( ( ( c_SmallStep_Oredp @ SV58 @ SV942 @ SV1362 @ SV1752 @ SV2091 )
= $false )
| ( ( c_SmallStep_Oredp @ SV58 @ ( c_Expr_Oexp_OCast @ SV503 @ SV942 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1362 @ ( c_Expr_Oexp_OCast @ SV503 @ SV1752 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2091 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4269]) ).
thf(4568,plain,
! [SV1753: $i,SV2489: $i,SV1363: $i,SV2333: $i,SV943: $i,SV504: $i,SV59: $i] :
( ( ( ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ ( c_List_Olist_OCons @ SV2333 @ SV1363 @ SV504 ) @ ( c_List_Olist_OCons @ SV2489 @ SV1753 @ SV943 ) @ SV504 @ SV943 ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ SV1363 @ SV1753 @ SV504 @ SV943 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4270]) ).
thf(4569,plain,
! [SV2334: $i,SV2092: $i,SV1755: $i,SV1365: $i,SV945: $i,SV506: $i,SV61: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV61 @ SV506 @ SV945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1365 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1755 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2092 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2334 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV61 @ SV1365 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1755 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2092 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2334 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4271]) ).
thf(4570,plain,
! [SV2335: $i,SV2093: $i,SV1756: $i,SV1366: $i,SV946: $i,SV507: $i,SV62: $i] :
( ( ( c_BigStep_Oeval @ SV62 @ ( c_Expr_Oexp_OFAcc @ SV507 @ SV946 @ SV1366 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1756 @ ( c_Expr_Oexp_Othrow @ SV2093 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2335 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV62 @ SV507 @ SV1756 @ ( c_Expr_Oexp_Othrow @ SV2093 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2335 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4272]) ).
thf(4571,plain,
! [SV2490: $i,SV2336: $i,SV2095: $i,SV1759: $i,SV1369: $i,SV950: $i,SV511: $i,SV66: $i] :
( ( ( c_Expr_Oexp_OCall @ SV66 @ SV511 @ SV950 @ SV1369 )
!= ( c_Expr_Oexp_OTryCatch @ SV1759 @ SV2095 @ SV2336 @ SV2490 @ SV1369 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4274]) ).
thf(4572,plain,
! [SV2337: $i,SV2096: $i,SV1762: $i,SV1374: $i,SV955: $i,SV516: $i,SV71: $i] :
( ( ( ( c_Expr_Oexp_OBlock @ SV71 @ SV516 @ SV955 @ SV1374 )
!= ( c_Expr_Oexp_OBlock @ SV1762 @ SV2096 @ SV2337 @ SV1374 ) )
= $true )
| ( ( SV955 = SV2337 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4275]) ).
thf(4573,plain,
! [SV2491: $i,SV2097: $i,SV1763: $i,SV1375: $i,SV956: $i,SV517: $i,SV72: $i] :
( ( ( ( c_Expr_Oexp_OBlock @ SV72 @ SV517 @ SV956 @ SV1375 )
!= ( c_Expr_Oexp_OBlock @ SV1763 @ SV2097 @ SV2491 @ SV1375 ) )
= $true )
| ( ( SV517 = SV2097 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4276]) ).
thf(4574,plain,
! [SV2492: $i,SV2338: $i,SV1764: $i,SV1376: $i,SV957: $i,SV518: $i,SV73: $i] :
( ( ( ( c_Expr_Oexp_OBlock @ SV73 @ SV518 @ SV957 @ SV1376 )
!= ( c_Expr_Oexp_OBlock @ SV1764 @ SV2338 @ SV2492 @ SV1376 ) )
= $true )
| ( ( SV73 = SV1764 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4277]) ).
thf(4575,plain,
! [SV2493: $i,SV2339: $i,SV2098: $i,SV1766: $i,SV1378: $i,SV959: $i,SV520: $i,SV75: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV75 @ SV520 @ SV959 @ SV1378 )
!= ( c_Expr_Oexp_OTryCatch @ SV1766 @ SV2098 @ SV2339 @ SV2493 @ SV1378 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4278]) ).
thf(4576,plain,
! [SV76: $i,SV2340: $i,SV521: $i,SV2099: $i,SV1379: $i,SV960: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV960 @ SV1379 @ SV2099 @ ( c_Expr_Oexp_OCast @ SV521 @ SV2340 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV76 )
= $false )
| ( ( SV76
= ( c_Type_Oty_OClass @ SV521 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4279]) ).
thf(4577,plain,
! [SV2341: $i,SV2101: $i,SV1768: $i,SV1381: $i,SV962: $i,SV523: $i,SV78: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV78 @ SV523 @ SV962 @ SV1381 @ SV1768 )
= ( c_Expr_Oexp_OLAss @ SV2101 @ SV2341 @ SV1768 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4281]) ).
thf(4578,plain,
! [SV2342: $i,SV2104: $i,SV526: $i,SV1384: $i,SV965: $i,SV81: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV81 @ SV965 @ SV1384 @ ( c_Expr_Oexp_OCast @ SV526 @ SV2104 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2342 )
= $false )
| ( ( c_Decl_Ois__class @ SV81 @ SV526 @ ( 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)],[4283]) ).
thf(4579,plain,
! [SV968: $i,SV84: $i,SV2107: $i,SV1773: $i,SV1387: $i,SV2494: $i,SV529: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV529 @ SV2494 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV84 @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2494 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV84 @ SV529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4285]) ).
thf(4580,plain,
! [SV2343: $i,SV2111: $i,SV1778: $i,SV1391: $i,SV973: $i,SV534: $i,SV89: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV89 @ SV534 @ SV973 @ SV1391 )
= ( c_Expr_Oexp_OBinOp @ SV1778 @ SV2111 @ SV2343 @ SV1391 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4289]) ).
thf(4581,plain,
! [SV2344: $i,SV2113: $i,SV1781: $i,SV1394: $i,SV978: $i,SV539: $i,SV94: $i] :
( ( ( c_BigStep_Oeval @ SV94 @ ( c_Expr_Oexp_OCall @ SV539 @ SV978 @ SV1394 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1781 @ ( c_Expr_Oexp_Othrow @ SV2113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2344 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV94 @ SV539 @ SV1781 @ ( c_Expr_Oexp_Othrow @ SV2113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2344 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4292]) ).
thf(4582,plain,
! [SV2345: $i,SV2116: $i,SV1785: $i,SV1400: $i,SV984: $i,SV545: $i,SV100: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV100 @ SV545 @ SV984 @ SV1400 )
= ( c_Expr_Oexp_OCall @ SV1785 @ SV2116 @ SV2345 @ SV1400 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4295]) ).
thf(4583,plain,
! [SV2346: $i,SV2118: $i,SV1787: $i,SV1402: $i,SV986: $i,SV547: $i,SV102: $i] :
( ( ( c_Expr_Oexp_OCall @ SV102 @ SV547 @ SV986 @ SV1402 )
= ( c_Expr_Oexp_OCond @ SV1787 @ SV2118 @ SV2346 @ SV1402 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4297]) ).
thf(4584,plain,
! [SV2347: $i,SV2119: $i,SV1788: $i,SV1404: $i,SV988: $i,SV549: $i,SV104: $i] :
( ( ( c_Expr_Oexp_OCall @ SV104 @ SV549 @ SV988 @ SV1404 )
= ( c_Expr_Oexp_OBlock @ SV1788 @ SV2119 @ SV2347 @ SV1404 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4298]) ).
thf(4585,plain,
! [SV2348: $i,SV2120: $i,SV1790: $i,SV1406: $i,SV990: $i,SV551: $i,SV106: $i] :
( ( ( c_BigStep_Oeval @ SV106 @ ( c_Expr_Oexp_OCond @ SV551 @ SV990 @ SV1406 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1790 @ SV2120 @ SV2348 )
= $true )
| ( ( ! [SY9601: $i] :
( ~ ( c_BigStep_Oeval @ SV106 @ SV1406 @ SY9601 @ SV2120 @ SV2348 )
| ~ ( c_BigStep_Oeval @ SV106 @ SV551 @ SV1790 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9601 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4299]) ).
thf(4586,plain,
! [SV2349: $i,SV2123: $i,SV1793: $i,SV1409: $i,SV994: $i,SV555: $i,SV110: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV110 @ SV555 @ SV994 )
= ( c_Expr_Oexp_OFAss @ SV1409 @ SV1793 @ SV2123 @ SV2349 @ SV994 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4302]) ).
thf(4587,plain,
! [SV556: $i,SV2124: $i,SV1794: $i,SV1410: $i,SV995: $i,SV111: $i] :
( ( ( c_BigStep_Oeval @ SV111 @ SV995 @ SV1410 @ ( c_Expr_Oexp_Othrow @ SV1794 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2124 )
= $false )
| ( ( c_BigStep_Oeval @ SV111 @ ( c_Expr_Oexp_OLAss @ SV556 @ SV995 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1410 @ ( c_Expr_Oexp_Othrow @ SV1794 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2124 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4303]) ).
thf(4588,plain,
! [SV2350: $i,SV2125: $i,SV1796: $i,SV1412: $i,SV997: $i,SV558: $i,SV113: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV113 @ SV558 @ SV997 @ SV1412 @ SV1796 )
= ( c_Expr_Oexp_OCast @ SV2125 @ SV2350 @ SV1796 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4304]) ).
thf(4589,plain,
! [SV2351: $i,SV2126: $i,SV1797: $i,SV1413: $i,SV998: $i,SV559: $i,SV114: $i] :
( ( ( c_Expr_Oexp_OCast @ SV114 @ SV559 @ SV998 )
= ( c_Expr_Oexp_OFAss @ SV1413 @ SV1797 @ SV2126 @ SV2351 @ SV998 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4305]) ).
thf(4590,plain,
! [SV2495: $i,SV2352: $i,SV2129: $i,SV1802: $i,SV1418: $i,SV1003: $i,SV564: $i,SV119: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV119 @ SV564 @ SV1003 @ SV1418 @ SV1802 )
!= ( c_Expr_Oexp_OCall @ SV2129 @ SV2352 @ SV2495 @ SV1802 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4308]) ).
thf(4591,plain,
! [SV2353: $i,SV2130: $i,SV1803: $i,SV1419: $i,SV1004: $i,SV565: $i,SV120: $i] :
( ( ( c_Expr_Oexp_OCond @ SV120 @ SV565 @ SV1004 @ SV1419 )
= ( c_Expr_Oexp_OCall @ SV1803 @ SV2130 @ SV2353 @ SV1419 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4309]) ).
thf(4592,plain,
! [SV2354: $i,SV2131: $i,SV1804: $i,SV1421: $i,SV1006: $i,SV567: $i,SV122: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV122 @ SV567 @ SV1006 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9603: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1006 @ SY9603 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV122 @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9603 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4310]) ).
thf(4593,plain,
! [SV2355: $i,SV2132: $i,SV1805: $i,SV1422: $i,SV1007: $i,SV568: $i,SV123: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV123 @ SV568 @ SV1007 @ SV1422 @ SV1805 )
= ( c_Expr_Oexp_OLAss @ SV2132 @ SV2355 @ SV1805 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4311]) ).
thf(4594,plain,
! [SV2356: $i,SV2135: $i,SV1808: $i,SV1425: $i,SV1010: $i,SV571: $i,SV126: $i] :
( ( ( c_Expr_Oexp_OCall @ SV126 @ SV571 @ SV1010 @ SV1425 )
= ( c_Expr_Oexp_OBinOp @ SV1808 @ SV2135 @ SV2356 @ SV1425 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4314]) ).
thf(4595,plain,
! [SV2357: $i,SV2136: $i,SV1809: $i,SV1426: $i,SV1011: $i,SV572: $i,SV127: $i] :
( ( ( c_BigStep_Oeval @ SV127 @ ( c_Expr_Oexp_OCond @ SV572 @ SV1011 @ SV1426 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1809 @ ( c_Expr_Oexp_Othrow @ SV2136 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2357 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV127 @ SV572 @ SV1809 @ ( c_Expr_Oexp_Othrow @ SV2136 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2357 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4315]) ).
thf(4596,plain,
! [SV1015: $i,SV2139: $i,SV1812: $i,SV1430: $i,SV576: $i,SV131: $i] :
( ( ( c_BigStep_Oeval @ SV131 @ SV576 @ SV1430 @ ( c_Expr_Oexp_Othrow @ SV1812 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2139 )
= $false )
| ( ( c_BigStep_Oeval @ SV131 @ ( c_Expr_Oexp_OWhile @ SV576 @ SV1015 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1430 @ ( c_Expr_Oexp_Othrow @ SV1812 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4318]) ).
thf(4597,plain,
! [SV2496: $i,SV2358: $i,SV2140: $i,SV1813: $i,SV1431: $i,SV1016: $i,SV577: $i,SV132: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV132 @ SV577 @ SV1016 @ SV1431 )
!= ( c_Expr_Oexp_OFAss @ SV1813 @ SV2140 @ SV2358 @ SV2496 @ SV1431 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4319]) ).
thf(4598,plain,
! [SV579: $i,SV2142: $i,SV1815: $i,SV1433: $i,SV1018: $i,SV134: $i] :
( ( ( c_BigStep_Oeval @ SV134 @ SV1018 @ SV1433 @ ( c_Expr_Oexp_Othrow @ SV1815 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2142 )
= $false )
| ( ( c_BigStep_Oeval @ SV134 @ ( c_Expr_Oexp_OCast @ SV579 @ SV1018 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1433 @ ( c_Expr_Oexp_Othrow @ SV1815 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2142 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4321]) ).
thf(4599,plain,
! [SV2497: $i,SV2359: $i,SV1818: $i,SV1436: $i,SV1021: $i,SV582: $i,SV137: $i] :
( ( ( ( c_Expr_Oexp_OCall @ SV137 @ SV582 @ SV1021 @ SV1436 )
!= ( c_Expr_Oexp_OCall @ SV1818 @ SV2359 @ SV2497 @ SV1436 ) )
= $true )
| ( ( SV137 = SV1818 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4322]) ).
thf(4600,plain,
! [SV2498: $i,SV2143: $i,SV1819: $i,SV1437: $i,SV1022: $i,SV583: $i,SV138: $i] :
( ( ( ( c_Expr_Oexp_OCall @ SV138 @ SV583 @ SV1022 @ SV1437 )
!= ( c_Expr_Oexp_OCall @ SV1819 @ SV2143 @ SV2498 @ SV1437 ) )
= $true )
| ( ( SV583 = SV2143 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4323]) ).
thf(4601,plain,
! [SV2360: $i,SV2144: $i,SV1820: $i,SV1438: $i,SV1023: $i,SV584: $i,SV139: $i] :
( ( ( ( c_Expr_Oexp_OCall @ SV139 @ SV584 @ SV1023 @ SV1438 )
!= ( c_Expr_Oexp_OCall @ SV1820 @ SV2144 @ SV2360 @ SV1438 ) )
= $true )
| ( ( SV1023 = SV2360 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4324]) ).
thf(4602,plain,
! [SV2361: $i,SV2147: $i,SV1824: $i,SV1443: $i,SV1028: $i,SV589: $i,SV144: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV144 @ SV589 @ SV1028 @ SV1443 )
= ( c_Expr_Oexp_OCall @ SV1824 @ SV2147 @ SV2361 @ SV1443 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4327]) ).
thf(4603,plain,
! [SV2362: $i,SV2148: $i,SV1825: $i,SV1444: $i,SV1029: $i,SV590: $i,SV145: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV145 @ SV590 @ SV1029 @ SV1444 )
= ( c_Expr_Oexp_OFAcc @ SV1825 @ SV2148 @ SV2362 @ SV1444 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4328]) ).
thf(4604,plain,
! [SV1828: $i,SV1448: $i,SV1033: $i,SV149: $i,SV594: $i,SV2363: $i] :
( ( ( ~ ( c_Objects_Ohext @ SV2363 @ SV594 ) )
= $true )
| ( ( ~ ( c_Conform_Olconf @ SV149 @ SV2363 @ SV1033 @ SV1448 @ SV1828 ) )
= $true )
| ( ( c_Conform_Olconf @ SV149 @ SV594 @ SV1033 @ SV1448 @ SV1828 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4329]) ).
thf(4605,plain,
! [SV2499: $i,SV2364: $i,SV2149: $i,SV1832: $i,SV1453: $i,SV1038: $i,SV599: $i,SV154: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV154 @ SV599 @ SV1038 @ SV1453 @ SV1832 )
!= ( c_Expr_Oexp_OBlock @ SV2149 @ SV2364 @ SV2499 @ SV1832 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4331]) ).
thf(4606,plain,
! [SV2365: $i,SV2151: $i,SV1835: $i,SV1456: $i,SV1041: $i,SV602: $i,SV157: $i] :
( ( ( c_BigStep_Oeval @ SV157 @ ( c_Expr_Oexp_OBinOp @ SV602 @ SV1041 @ SV1456 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1835 @ ( c_Expr_Oexp_Othrow @ SV2151 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2365 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV157 @ SV602 @ SV1835 @ ( c_Expr_Oexp_Othrow @ SV2151 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2365 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4333]) ).
thf(4607,plain,
! [SV2500: $i,SV2366: $i,SV2153: $i,SV1838: $i,SV1460: $i,SV1045: $i,SV606: $i,SV161: $i] :
( ( ( c_Expr_Oexp_OCall @ SV161 @ SV606 @ SV1045 @ SV1460 )
!= ( c_Expr_Oexp_OFAss @ SV1838 @ SV2153 @ SV2366 @ SV2500 @ SV1460 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4336]) ).
thf(4608,plain,
! [SV2367: $i,SV2156: $i,SV1842: $i,SV1464: $i,SV1049: $i,SV610: $i,SV165: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV165 @ SV610 @ SV1049 @ SV1464 )
= ( c_Expr_Oexp_OBlock @ SV1842 @ SV2156 @ SV2367 @ SV1464 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4339]) ).
thf(4609,plain,
! [SV2368: $i,SV2158: $i,SV1844: $i,SV1466: $i,SV1052: $i,SV613: $i,SV168: $i] :
( ( ( c_Expr_Oexp_OLAss @ SV168 @ SV613 @ SV1052 )
= ( c_Expr_Oexp_OTryCatch @ SV1466 @ SV1844 @ SV2158 @ SV2368 @ SV1052 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4341]) ).
thf(4610,plain,
! [SV2369: $i,SV2159: $i,SV1845: $i,SV1467: $i,SV1053: $i,SV614: $i,SV169: $i] :
( ( ( c_Expr_Oexp_OCall @ SV169 @ SV614 @ SV1053 @ SV1467 )
= ( c_Expr_Oexp_OFAcc @ SV1845 @ SV2159 @ SV2369 @ SV1467 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4342]) ).
thf(4611,plain,
! [SV1850: $i,SV1474: $i,SV1060: $i,SV621: $i,SV176: $i] :
( ( ( c_Map_Omap__le @ SV176 @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1060 @ SV1474 )
= $false )
| ( ( ~ ( c_Map_Omap__le @ SV621 @ SV1850 @ SV1060 @ SV1474 )
| ~ ( c_Map_Omap__le @ SV176 @ SV1850 @ SV1060 @ SV1474 ) )
= $true )
| ( ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1850 @ SV1060 @ SV1474 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4343]) ).
thf(4612,plain,
! [SV2370: $i,SV2161: $i,SV1852: $i,SV1476: $i,SV1062: $i,SV623: $i,SV178: $i] :
( ( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SV623 @ SV1062 @ SV1476 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1852 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
= $true )
| ( ( ! [SY9608: $i] :
( ~ ( c_BigStep_Oeval @ SV178 @ SV1476 @ SY9608 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
| ! [SY8962: $i] :
~ ( c_BigStep_Oeval @ SV178 @ SV623 @ SV1852 @ ( c_Expr_Oexp_OVal @ SY8962 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9608 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4345]) ).
thf(4613,plain,
! [SV2501: $i,SV2371: $i,SV2163: $i,SV1854: $i,SV1479: $i,SV1065: $i,SV626: $i,SV181: $i] :
( ( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SV1065 @ SV1479 @ SV1854 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2163 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
| ! [SY9686: $i] :
( ~ ( c_BigStep_Oeval @ SV181 @ SV1854 @ SY9686 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
| ! [SY9412: $i] :
~ ( c_BigStep_Oeval @ SV181 @ SV626 @ SV2163 @ ( c_Expr_Oexp_OVal @ SY9412 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9686 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4346]) ).
thf(4614,plain,
! [SV2502: $i,SV2372: $i,SV2165: $i,SV1857: $i,SV1482: $i,SV1069: $i,SV630: $i,SV185: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SV1482 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SV2165 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2372 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2502 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1482 @ SV1857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2165 @ SV2372 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2502 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4347]) ).
thf(4615,plain,
! [SV2373: $i,SV2167: $i,SV1859: $i,SV1484: $i,SV1071: $i,SV632: $i,SV187: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SV1071 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SV1859 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2167 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2373 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV1071 @ SV1484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1859 @ SV2167 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2373 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4348]) ).
thf(4616,plain,
! [SV2374: $i,SV2168: $i,SV1861: $i,SV1486: $i,SV1073: $i,SV634: $i,SV189: $i] :
( ( ( c_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $true )
| ( ( ~ ( c_Conform_Olconf @ SV189 @ SV1861 @ SV2168 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ! [SY9614: $i] :
~ ( c_WellTypeRT_OWTrt @ SV189 @ SV1861 @ SV1486 @ SV2374 @ SY9614 )
| ! [SY9615: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV2374 @ ( c_Pair @ SV1861 @ SV2168 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9615 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4349]) ).
thf(4617,plain,
! [SV2375: $i,SV2169: $i,SV1862: $i,SV1487: $i,SV1074: $i,SV635: $i,SV190: $i] :
( ( ( c_Conform_Ohconf @ SV190 @ SV635 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $true )
| ( ( ~ ( c_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV190 @ SV1074 @ SV1487 @ SV1862 @ SV2169 )
| ! [SY9616: $i,SY9617: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1862 @ ( c_Pair @ SV1074 @ SV2375 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9616 @ ( c_Pair @ SV635 @ SY9617 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4350]) ).
thf(4618,plain,
! [SV2170: $i,SV1863: $i,SV1489: $i,SV1077: $i,SV638: $i,SV193: $i] :
( ( ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OWhile @ SV638 @ SV1077 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1489 @ SV1863 @ SV2170 )
= $false )
| ( ( c_BigStep_Oeval @ SV193 @ ( c_Expr_Oexp_OCond @ SV638 @ ( c_Expr_Oexp_OSeq @ SV1077 @ ( c_Expr_Oexp_OWhile @ SV638 @ SV1077 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1489 @ SV1863 @ SV2170 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4351]) ).
thf(4619,plain,
! [SV2171: $i,SV1864: $i,SV1490: $i,SV1078: $i,SV639: $i,SV194: $i] :
( ( ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OCond @ SV639 @ ( c_Expr_Oexp_OSeq @ SV1078 @ ( c_Expr_Oexp_OWhile @ SV639 @ SV1078 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Expr_Oexp_OVal @ c_Value_Oval_OUnit @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1490 @ SV1864 @ SV2171 )
= $false )
| ( ( c_BigStep_Oeval @ SV194 @ ( c_Expr_Oexp_OWhile @ SV639 @ SV1078 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1490 @ SV1864 @ SV2171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4352]) ).
thf(4620,plain,
! [SV2503: $i,SV2376: $i,SV2172: $i,SV1865: $i,SV1491: $i,SV1079: $i,SV640: $i,SV195: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV195 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV2172 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2376 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2503 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV195 @ SV1865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2172 @ SV2376 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2503 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4353]) ).
thf(4621,plain,
! [SV2377: $i,SV2173: $i,SV1867: $i,SV1493: $i,SV1081: $i,SV642: $i,SV197: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV197 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1493 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV1867 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2173 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2377 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV197 @ SV1493 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1867 @ SV2173 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2377 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4354]) ).
thf(4622,plain,
! [SV644: $i,SV2174: $i,SV1868: $i,SV1495: $i,SV1083: $i,SV199: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV199 @ SV1083 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1495 @ SV1868 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2174 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV199 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1083 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV1495 @ SV644 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1868 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2174 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4355]) ).
thf(4623,plain,
! [SV2378: $i,SV2175: $i,SV1870: $i,SV1497: $i,SV1085: $i,SV646: $i,SV201: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV201 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1497 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV1870 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2175 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2378 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV201 @ SV1497 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1870 @ SV2175 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2378 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4356]) ).
thf(4624,plain,
! [SV2504: $i,SV2379: $i,SV2177: $i,SV1872: $i,SV1499: $i,SV1087: $i,SV648: $i,SV203: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV203 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV2177 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2379 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2504 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV203 @ SV1872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2177 @ SV2379 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2504 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4357]) ).
thf(4625,plain,
! [SV2380: $i,SV2178: $i,SV1873: $i,SV1500: $i,SV1088: $i,SV649: $i,SV204: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV204 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1500 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV1873 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2178 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2380 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV204 @ SV1500 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1873 @ SV2178 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2380 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4358]) ).
thf(4626,plain,
! [SV2505: $i,SV2381: $i,SV2179: $i,SV1875: $i,SV1502: $i,SV1090: $i,SV651: $i,SV206: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ ( c_Map_Omap__add @ SV1090 @ SV1502 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1875 @ ( c_Pair @ SV2179 @ ( c_Map_Omap__add @ SV1090 @ SV2381 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2505 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ SV1502 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1875 @ ( c_Pair @ SV2179 @ SV2381 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2505 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4359]) ).
thf(4627,plain,
! [SV2506: $i,SV2382: $i,SV1877: $i,SV1504: $i,SV1092: $i,SV653: $i,SV208: $i] :
( ( ( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV1877 @ SV1092 @ SV2382 @ SV208 @ SV2506 @ SV1504 @ SV653 ) ) )
| ~ ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ ( c_Expr_Oexp_OFAcc @ SV1504 @ SV2382 @ SV1877 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2506 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ c_Type_Oty_ONT )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4360]) ).
thf(4628,plain,
! [SV2507: $i,SV2180: $i,SV1878: $i,SV1505: $i,SV1093: $i,SV654: $i,SV209: $i] :
( ( ( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1878 @ SV1093 @ SV2180 @ SV209 @ SV1505 @ SV654 @ SV2507 ) ) )
| ! [SY9688: $i] :
~ ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ ( c_Expr_Oexp_OFAss @ SV1505 @ SV2180 @ SV1878 @ SV2507 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9688 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ c_Type_Oty_ONT )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4361]) ).
thf(4629,plain,
! [SV2383: $i,SV2181: $i,SV1879: $i,SV1506: $i,SV1094: $i,SV655: $i,SV210: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV210 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV1879 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2181 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2383 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV210 @ SV1506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1879 @ SV2181 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2383 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4362]) ).
thf(4630,plain,
! [SV211: $i,SV2182: $i,SV1880: $i,SV1507: $i,SV1095: $i,SV656: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV656 @ SV1095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1507 @ SV1880 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2182 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SV656 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1095 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV211 @ SV1507 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1880 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2182 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4363]) ).
thf(4631,plain,
! [SV214: $i,SV2183: $i,SV1882: $i,SV1509: $i,SV1098: $i,SV659: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV659 @ SV1098 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1509 @ SV1882 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2183 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SV659 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1098 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV214 @ SV1509 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1882 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2183 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4365]) ).
thf(4632,plain,
! [SV2384: $i,SV2184: $i,SV1883: $i,SV1510: $i,SV1099: $i,SV660: $i,SV215: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV215 @ SV660 @ SV1099 @ SV1510 ) @ ( c_Pair @ SV215 @ SV1883 @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) @ ( c_Recdef_Osame__fst @ SV2184 @ SV2384 @ SV1099 @ SV1510 ) @ ( tc_prod @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Pair @ SV660 @ SV1883 @ SV1510 @ SV1510 ) @ ( hAPP @ SV2384 @ SV215 ) @ ( tc_prod @ SV1510 @ SV1510 ) )
| ~ ( hBOOL @ ( hAPP @ SV2184 @ SV215 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4366]) ).
thf(4633,plain,
! [SV1511: $i,SV661: $i,SV1100: $i,SV216: $i,SV2508: $i,SV2185: $i,SV1884: $i] :
( ( ( ! [SY9689: $i] :
( ( c_in @ ( c_Pair @ SV1884 @ SV2185 @ SV2508 @ SV2508 ) @ SY9689 @ ( tc_prod @ SV2508 @ SV2508 ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1884 @ SV216 @ SV2508 @ SV1100 ) @ ( c_Pair @ SV2185 @ SV661 @ SV2508 @ SV1100 ) @ ( tc_prod @ SV2508 @ SV1100 ) @ ( tc_prod @ SV2508 @ SV1100 ) ) @ ( c_Wellfounded_Olex__prod @ SY9689 @ SV1511 @ SV2508 @ SV1100 ) @ ( tc_prod @ ( tc_prod @ SV2508 @ SV1100 ) @ ( tc_prod @ SV2508 @ SV1100 ) ) ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV216 @ SV661 @ SV1100 @ SV1100 ) @ SV1511 @ ( tc_prod @ SV1100 @ SV1100 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4367]) ).
thf(4634,plain,
! [SV2385: $i,SV2186: $i,SV1885: $i,SV1512: $i,SV1101: $i,SV662: $i,SV217: $i] :
( ( ( ! [SY9622: $i] : ( c_in @ ( c_Pair @ ( c_Pair @ SV217 @ SV662 @ SV1101 @ SV1512 ) @ ( c_Pair @ SV1885 @ SV2186 @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) @ ( c_Wellfounded_Olex__prod @ SV2385 @ SY9622 @ SV1101 @ SV1512 ) @ ( tc_prod @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Pair @ SV217 @ SV1885 @ SV1101 @ SV1101 ) @ SV2385 @ ( tc_prod @ SV1101 @ SV1101 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4368]) ).
thf(4635,plain,
! [SV2386: $i,SV2187: $i,SV1886: $i,SV1513: $i,SV1102: $i,SV663: $i,SV218: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV218 @ SV663 @ SV1102 @ SV1513 ) @ ( c_Pair @ SV218 @ SV1886 @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) ) @ ( c_Wellfounded_Olex__prod @ SV2187 @ SV2386 @ SV1102 @ SV1513 ) @ ( tc_prod @ ( tc_prod @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Pair @ SV663 @ SV1886 @ SV1513 @ SV1513 ) @ SV2386 @ ( tc_prod @ SV1513 @ SV1513 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4369]) ).
thf(4636,plain,
! [SV2188: $i,SV1887: $i,SV1514: $i,SV1103: $i,SV664: $i,SV219: $i] :
( ( ( c_in @ ( c_Pair @ SV219 @ SV664 @ SV1103 @ SV1103 ) @ SV1514 @ ( tc_prod @ SV1103 @ SV1103 ) )
= $true )
| ( ( ! [SY9440: $i,SY9441: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV219 @ SV1887 @ SV1103 @ SV2188 ) @ ( c_Pair @ SV664 @ SY9440 @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) ) @ ( c_Wellfounded_Olex__prod @ SV1514 @ SY9441 @ SV1103 @ SV2188 ) @ ( tc_prod @ ( tc_prod @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) ) ) )
= $true )
| ( ( SV219 = SV664 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4370]) ).
thf(4637,plain,
! [SV2387: $i,SV2189: $i,SV1888: $i,SV1515: $i,SV1104: $i,SV665: $i,SV220: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ ( c_List_Olist_OCons @ SV1515 @ SV1888 @ SV665 ) @ ( c_List_Olist_OCons @ SV2189 @ SV2387 @ SV1104 ) @ SV665 @ SV1104 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ SV1888 @ SV2387 @ SV665 @ SV1104 )
| ~ ( c_in @ ( c_Pair @ SV1515 @ SV2189 @ SV665 @ SV1104 ) @ SV220 @ ( tc_prod @ SV665 @ SV1104 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4371]) ).
thf(4638,plain,
! [SV2388: $i,SV2190: $i,SV1889: $i,SV1516: $i,SV1105: $i,SV666: $i,SV221: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ ( c_List_Olist_OCons @ SV1516 @ SV1889 @ SV666 ) @ ( c_List_Olist_OCons @ SV2190 @ SV2388 @ SV1105 ) @ SV666 @ SV1105 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ SV1889 @ SV2388 @ SV666 @ SV1105 )
| ~ ( c_in @ ( c_Pair @ SV1516 @ SV2190 @ SV666 @ SV1105 ) @ SV221 @ ( tc_prod @ SV666 @ SV1105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4372]) ).
thf(4639,plain,
! [SV2389: $i,SV2191: $i,SV1890: $i,SV1517: $i,SV1106: $i,SV667: $i,SV222: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ ( c_List_Olist_OCons @ SV1517 @ SV1890 @ SV667 ) @ ( c_List_Olist_OCons @ SV2191 @ SV2389 @ SV1106 ) @ SV667 @ SV1106 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ SV1890 @ SV2389 @ SV667 @ SV1106 )
| ~ ( c_in @ ( c_Pair @ SV1517 @ SV2191 @ SV667 @ SV1106 ) @ SV222 @ ( tc_prod @ SV667 @ SV1106 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4373]) ).
thf(4640,plain,
! [SV2509: $i,SV668: $i,SV2390: $i,SV223: $i,SV1518: $i,SV1107: $i,SV1891: $i] :
( ( ( ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV1891 @ SV1107 @ SV1518 ) @ ( c_List_Olist_OCons @ SV223 @ SV2390 @ SV1107 ) @ ( c_List_Olist_OCons @ SV668 @ SV2509 @ SV1518 ) @ SV1107 @ SV1518 ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV223 @ SV668 @ SV1107 @ SV1518 ) @ SV1891 @ ( tc_prod @ SV1107 @ SV1518 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4374]) ).
thf(4641,plain,
! [SV2510: $i,SV2391: $i,SV2192: $i,SV1892: $i,SV1519: $i,SV1108: $i,SV669: $i,SV224: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SV1108 @ SV1519 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9690: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1519 @ SY9690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9691: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9691 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4375]) ).
thf(4642,plain,
! [SV2392: $i,SV2193: $i,SV1893: $i,SV1520: $i,SV1109: $i,SV670: $i,SV225: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SV670 @ SV1109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9627: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1109 @ SY9627 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9628: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9628 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9627 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4376]) ).
thf(4643,plain,
! [SV2393: $i,SV2194: $i,SV1895: $i,SV1522: $i,SV1111: $i,SV672: $i,SV227: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV227 @ SV672 @ SV1111 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1522 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1895 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2194 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2393 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV227 @ SV1522 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1895 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2194 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2393 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4378]) ).
thf(4644,plain,
! [SV673: $i,SV2195: $i,SV1896: $i,SV1523: $i,SV1112: $i,SV228: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV228 @ SV1112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1523 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1896 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2195 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV228 @ SV673 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1112 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1523 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1896 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2195 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4379]) ).
thf(4645,plain,
! [SV2394: $i,SV2196: $i,SV1897: $i,SV1524: $i,SV1113: $i,SV674: $i,SV229: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV229 @ SV674 @ SV1113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1524 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1897 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2196 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2394 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV229 @ SV1524 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1897 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2196 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2394 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4380]) ).
thf(4646,plain,
! [SV2511: $i,SV2395: $i,SV2197: $i,SV1898: $i,SV1525: $i,SV1114: $i,SV675: $i,SV230: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV230 @ SV675 @ SV1114 @ SV1525 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2197 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2395 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2511 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV230 @ SV1898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2197 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2395 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2511 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4381]) ).
thf(4647,plain,
! [SV676: $i,SV2198: $i,SV1899: $i,SV1526: $i,SV1115: $i,SV231: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV231 @ SV1115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1526 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2198 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV231 @ SV676 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1115 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1526 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2198 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4382]) ).
thf(4648,plain,
! [SV2396: $i,SV2199: $i,SV1900: $i,SV1527: $i,SV1116: $i,SV677: $i,SV232: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV232 @ SV677 @ SV1116 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1527 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2199 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2396 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV232 @ SV1527 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2199 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2396 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4383]) ).
thf(4649,plain,
! [SV2512: $i,SV2397: $i,SV2200: $i,SV1901: $i,SV1528: $i,SV1117: $i,SV678: $i,SV233: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ ( c_Map_Omap__add @ SV1117 @ SV1528 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1901 @ ( c_Pair @ SV2200 @ ( c_Map_Omap__add @ SV1117 @ SV2397 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2512 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ SV1528 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1901 @ ( c_Pair @ SV2200 @ SV2397 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2512 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4384]) ).
thf(4650,plain,
! [SV234: $i,SV2201: $i,SV1902: $i,SV1529: $i,SV1118: $i,SV679: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV679 @ SV1118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1529 @ SV1902 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2201 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SV679 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1118 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OLAss @ SV234 @ SV1529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1902 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2201 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4385]) ).
thf(4651,plain,
! [SV236: $i,SV2202: $i,SV1904: $i,SV1531: $i,SV1120: $i,SV681: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV681 @ SV1120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1531 @ SV1904 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2202 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SV681 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1120 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCast @ SV236 @ SV1531 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1904 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2202 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4387]) ).
thf(4652,plain,
! [SV2398: $i,SV2203: $i,SV1905: $i,SV1532: $i,SV1121: $i,SV682: $i,SV237: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV237 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1532 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV1905 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2203 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2398 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV237 @ SV1532 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1905 @ SV2203 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2398 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4388]) ).
thf(4653,plain,
! [SV241: $i,SV1533: $i,SV1125: $i,SV686: $i,SV2204: $i] :
( ( ( c_in @ ( c_Pair @ SV2204 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
= $false )
| ( ( ~ ( c_in @ ( c_Pair @ SV241 @ SV2204 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV241 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4389]) ).
thf(4654,plain,
! [SV242: $i,SV1534: $i,SV1126: $i,SV687: $i,SV2205: $i] :
( ( ( c_in @ ( c_Pair @ SV2205 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SV1534 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
= $false )
| ( ( ~ ( c_in @ ( c_Pair @ SV242 @ SV2205 @ SV1126 @ SV1126 ) @ SV1534 @ ( tc_prod @ SV1126 @ SV1126 ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV242 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SV1534 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4390]) ).
thf(4655,plain,
! [SV243: $i,SV1535: $i,SV1127: $i,SV688: $i,SV2206: $i] :
( ( ( c_in @ ( c_Pair @ SV2206 @ SV688 @ SV1127 @ SV1127 ) @ SV1535 @ ( tc_prod @ SV1127 @ SV1127 ) )
= $false )
| ( ( ~ ( c_in @ ( c_Pair @ SV243 @ SV2206 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SV1535 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV243 @ SV688 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SV1535 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4391]) ).
thf(4656,plain,
! [SV1130: $i,SV247: $i,SV2207: $i,SV1908: $i,SV1538: $i,SV2513: $i,SV692: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV692 @ SV2513 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9692: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV247 @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2513 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV247 @ SV692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4394]) ).
thf(4657,plain,
! [SV2514: $i,SV2399: $i,SV2208: $i,SV1909: $i,SV1539: $i,SV1131: $i,SV693: $i,SV248: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV248 @ SV693 @ SV1131 @ SV1539 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2208 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2399 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2514 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV248 @ SV1909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2208 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2399 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2514 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4395]) ).
thf(4658,plain,
! [SV1132: $i,SV1910: $i,SV1540: $i,SV694: $i,SV249: $i] :
( ( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1540 )
= $false )
| ( ( ! [SY9066: $i] :
~ ( c_WellTypeRT_OWTrt @ SV249 @ ( c_State_Ohp @ SV1540 ) @ SV694 @ SV1910 @ SY9066 )
| ! [SY9067: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1910 @ SV1540 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9067 @ SV1132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4396]) ).
thf(4659,plain,
! [SV2400: $i,SV2210: $i,SV1912: $i,SV1543: $i,SV1135: $i,SV697: $i,SV252: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV252 @ SV697 @ SV1135 @ SV1543 )
= ( c_Expr_Oexp_OBinOp @ SV1912 @ SV2210 @ SV2400 @ SV1543 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4398]) ).
thf(4660,plain,
! [SV2515: $i,SV2401: $i,SV1914: $i,SV1545: $i,SV1137: $i,SV699: $i,SV254: $i] :
( ( ( ( c_Expr_Oexp_OBinOp @ SV254 @ SV699 @ SV1137 @ SV1545 )
!= ( c_Expr_Oexp_OBinOp @ SV1914 @ SV2401 @ SV2515 @ SV1545 ) )
= $true )
| ( ( SV254 = SV1914 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4400]) ).
thf(4661,plain,
! [SV2516: $i,SV2212: $i,SV1915: $i,SV1546: $i,SV1138: $i,SV700: $i,SV255: $i] :
( ( ( ( c_Expr_Oexp_OBinOp @ SV255 @ SV700 @ SV1138 @ SV1546 )
!= ( c_Expr_Oexp_OBinOp @ SV1915 @ SV2212 @ SV2516 @ SV1546 ) )
= $true )
| ( ( SV700 = SV2212 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4401]) ).
thf(4662,plain,
! [SV2402: $i,SV2213: $i,SV1916: $i,SV1547: $i,SV1139: $i,SV701: $i,SV256: $i] :
( ( ( ( c_Expr_Oexp_OBinOp @ SV256 @ SV701 @ SV1139 @ SV1547 )
!= ( c_Expr_Oexp_OBinOp @ SV1916 @ SV2213 @ SV2402 @ SV1547 ) )
= $true )
| ( ( SV1139 = SV2402 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4402]) ).
thf(4663,plain,
! [SV2403: $i,SV2215: $i,SV1918: $i,SV1549: $i,SV1141: $i,SV703: $i,SV258: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV258 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1549 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV1918 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2215 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2403 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV258 @ SV1549 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1918 @ SV2215 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2403 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4404]) ).
thf(4664,plain,
! [SV2517: $i,SV2404: $i,SV2216: $i,SV1919: $i,SV1550: $i,SV1142: $i,SV704: $i,SV259: $i] :
( ( ( c_SmallStep_Oredp @ SV259 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SV1919 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2216 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SV2404 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2517 )
| ~ ( c_SmallStep_Oredp @ SV259 @ SV1919 @ SV2216 @ SV2404 @ SV2517 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4405]) ).
thf(4665,plain,
! [SV1554: $i,SV2518: $i,SV1922: $i,SV1146: $i,SV708: $i,SV263: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1922 @ SV2518 ) )
= $true )
| ( ( ! [SY8391: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1554 @ SY8391 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ ( c_Expr_Oexp_OBinOp @ SV1554 @ c_Expr_Obop_OEq @ SV1922 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4408]) ).
thf(4666,plain,
! [SV2405: $i,SV2218: $i,SV1923: $i,SV1555: $i,SV1147: $i,SV709: $i,SV264: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV264 @ SV709 @ SV1147 @ SV1555 )
= ( c_Expr_Oexp_OCond @ SV1923 @ SV2218 @ SV2405 @ SV1555 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4409]) ).
thf(4667,plain,
! [SV2406: $i,SV2219: $i,SV1924: $i,SV1556: $i,SV1148: $i,SV710: $i,SV265: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV265 @ SV710 @ SV1148 @ SV1556 @ SV1924 )
= ( c_Expr_Oexp_OWhile @ SV2219 @ SV2406 @ SV1924 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4410]) ).
thf(4668,plain,
! [SV2519: $i,SV2407: $i,SV2220: $i,SV1925: $i,SV1557: $i,SV1149: $i,SV711: $i,SV267: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV267 @ SV711 @ SV1149 @ SV1557 )
!= ( c_Expr_Oexp_OFAss @ SV1925 @ SV2220 @ SV2407 @ SV2519 @ SV1557 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4411]) ).
thf(4669,plain,
! [SV2520: $i,SV2408: $i,SV2222: $i,SV1928: $i,SV1561: $i,SV1153: $i,SV715: $i,SV272: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV272 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1928 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV2222 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2408 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2520 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV272 @ SV1928 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2222 @ SV2408 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2520 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4413]) ).
thf(4670,plain,
! [SV2409: $i,SV2223: $i,SV1929: $i,SV1562: $i,SV1154: $i,SV716: $i,SV273: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SV1154 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SV1929 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2223 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2409 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV1154 @ SV1562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1929 @ SV2223 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2409 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4414]) ).
thf(4671,plain,
! [SV2410: $i,SV2224: $i,SV1930: $i,SV1563: $i,SV1155: $i,SV717: $i,SV274: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV274 @ SV717 @ SV1155 )
= ( c_Expr_Oexp_OTryCatch @ SV1563 @ SV1930 @ SV2224 @ SV2410 @ SV1155 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4415]) ).
thf(4672,plain,
! [SV2411: $i,SV2225: $i,SV1931: $i,SV1564: $i,SV1156: $i,SV718: $i,SV275: $i] :
( ( ( c_SmallStep_Oredp @ SV275 @ ( c_Expr_Oexp_OBinOp @ SV718 @ SV1156 @ SV1564 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1931 @ ( c_Expr_Oexp_OBinOp @ SV2225 @ SV1156 @ SV1564 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2411 )
= $true )
| ( ( ~ ( c_SmallStep_Oredp @ SV275 @ SV718 @ SV1931 @ SV2225 @ SV2411 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4416]) ).
thf(4673,plain,
! [SV2521: $i,SV2412: $i,SV2227: $i,SV1933: $i,SV1566: $i,SV1158: $i,SV720: $i,SV277: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV277 @ SV720 @ SV1158 @ SV1566 @ SV1933 )
!= ( c_Expr_Oexp_OFAcc @ SV2227 @ SV2412 @ SV2521 @ SV1933 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4418]) ).
thf(4674,plain,
! [SV2522: $i,SV2413: $i,SV2229: $i,SV1935: $i,SV1568: $i,SV1161: $i,SV723: $i,SV280: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV280 @ SV723 @ SV1161 @ SV1568 @ SV1935 )
!= ( c_Expr_Oexp_OBinOp @ SV2229 @ SV2413 @ SV2522 @ SV1935 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4420]) ).
thf(4675,plain,
! [SV2414: $i,SV2231: $i,SV1937: $i,SV1569: $i,SV1163: $i,SV725: $i,SV282: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV282 @ SV725 @ SV1163 @ SV1569 @ SV1937 )
= ( c_Expr_Oexp_OSeq @ SV2231 @ SV2414 @ SV1937 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4422]) ).
thf(4676,plain,
! [SV2523: $i,SV2415: $i,SV2232: $i,SV1938: $i,SV1571: $i,SV1165: $i,SV727: $i,SV284: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV284 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1938 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV2232 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2415 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2523 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV284 @ SV1938 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2232 @ SV2415 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2523 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4423]) ).
thf(4677,plain,
! [SV2416: $i,SV2233: $i,SV1939: $i,SV1572: $i,SV1166: $i,SV728: $i,SV285: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV285 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV1939 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2233 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2416 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV285 @ SV1572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1939 @ SV2233 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2416 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4424]) ).
thf(4678,plain,
! [SV2524: $i,SV2417: $i,SV2234: $i,SV1940: $i,SV1573: $i,SV1167: $i,SV729: $i,SV286: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV286 @ SV729 @ SV1167 @ SV1573 )
!= ( c_Expr_Oexp_OTryCatch @ SV1940 @ SV2234 @ SV2417 @ SV2524 @ SV1573 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4425]) ).
thf(4679,plain,
! [SV1168: $i,SV2235: $i,SV1941: $i,SV1574: $i,SV730: $i,SV287: $i] :
( ( ( c_SmallStep_Oredp @ SV287 @ SV730 @ SV1574 @ SV1941 @ SV2235 )
= $false )
| ( ( c_SmallStep_Oredp @ SV287 @ ( c_Expr_Oexp_OSeq @ SV730 @ SV1168 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1574 @ ( c_Expr_Oexp_OSeq @ SV1941 @ SV1168 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2235 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4426]) ).
thf(4680,plain,
! [SV2418: $i,SV2236: $i,SV1942: $i,SV1575: $i,SV1169: $i,SV731: $i,SV288: $i] :
( ( ( ! [SY9640: $i,SY9641: $i] :
( ( c_Expr_Oexp_OFAss @ SV288 @ SV731 @ SV1169 @ SV1575 @ SV1942 )
!= ( c_Expr_Oexp_OFAss @ SV2236 @ SV2418 @ SY9640 @ SY9641 @ SV1942 ) ) )
= $true )
| ( ( SV288 = SV2236 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4427]) ).
thf(4681,plain,
! [SV2419: $i,SV2237: $i,SV1943: $i,SV1576: $i,SV1170: $i,SV732: $i,SV289: $i] :
( ( ( ! [SY9642: $i,SY9643: $i] :
( ( c_Expr_Oexp_OFAss @ SV289 @ SV732 @ SV1170 @ SV1576 @ SV1943 )
!= ( c_Expr_Oexp_OFAss @ SV2237 @ SV2419 @ SY9642 @ SY9643 @ SV1943 ) ) )
= $true )
| ( ( SV732 = SV2419 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4428]) ).
thf(4682,plain,
! [SV2525: $i,SV2420: $i,SV2238: $i,SV1944: $i,SV1577: $i,SV1171: $i,SV733: $i,SV290: $i] :
( ( ! [SY9693: $i] :
( ( c_Expr_Oexp_OFAss @ SV290 @ SV733 @ SV1171 @ SV1577 @ SV1944 )
!= ( c_Expr_Oexp_OFAss @ SV2238 @ SV2420 @ SV2525 @ SY9693 @ SV1944 ) )
| ( SV1171 = SV2525 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4429]) ).
thf(4683,plain,
! [SV2526: $i,SV2421: $i,SV2239: $i,SV1945: $i,SV1578: $i,SV1172: $i,SV734: $i,SV291: $i] :
( ( ! [SY9694: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV291 @ SV734 @ SV1172 @ SV1578 @ SV1945 )
!= ( c_Expr_Oexp_OFAss @ SV2239 @ SV2421 @ SV2526 @ SY9694 @ SV1945 ) )
| ( SV1578 = SY9694 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4430]) ).
thf(4684,plain,
! [SV2527: $i,SV2422: $i,SV1946: $i,SV1579: $i,SV1173: $i,SV735: $i,SV292: $i] :
( ( ( ( c_Expr_Oexp_OFAcc @ SV292 @ SV735 @ SV1173 @ SV1579 )
!= ( c_Expr_Oexp_OFAcc @ SV1946 @ SV2422 @ SV2527 @ SV1579 ) )
= $true )
| ( ( SV292 = SV1946 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4431]) ).
thf(4685,plain,
! [SV2528: $i,SV2240: $i,SV1947: $i,SV1580: $i,SV1174: $i,SV736: $i,SV293: $i] :
( ( ( ( c_Expr_Oexp_OFAcc @ SV293 @ SV736 @ SV1174 @ SV1580 )
!= ( c_Expr_Oexp_OFAcc @ SV1947 @ SV2240 @ SV2528 @ SV1580 ) )
= $true )
| ( ( SV736 = SV2240 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4432]) ).
thf(4686,plain,
! [SV2423: $i,SV2241: $i,SV1948: $i,SV1581: $i,SV1175: $i,SV737: $i,SV294: $i] :
( ( ( ( c_Expr_Oexp_OFAcc @ SV294 @ SV737 @ SV1175 @ SV1581 )
!= ( c_Expr_Oexp_OFAcc @ SV1948 @ SV2241 @ SV2423 @ SV1581 ) )
= $true )
| ( ( SV1175 = SV2423 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4433]) ).
thf(4687,plain,
! [SV2424: $i,SV2242: $i,SV1949: $i,SV1582: $i,SV1176: $i,SV738: $i,SV295: $i] :
( ( ( c_List_Olist__all2 @ SV295 @ ( c_List_Olist_OCons @ SV738 @ SV1176 @ SV1582 ) @ ( c_List_Olist_OCons @ SV1949 @ SV2242 @ SV2424 ) @ SV1582 @ SV2424 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV295 @ SV1176 @ SV2242 @ SV1582 @ SV2424 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV295 @ SV738 ) @ SV1949 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4434]) ).
thf(4688,plain,
! [SV2425: $i,SV2243: $i,SV1950: $i,SV1583: $i,SV1177: $i,SV739: $i,SV296: $i] :
( ( ( c_List_Olist__all2 @ SV296 @ ( c_List_Olist_OCons @ SV739 @ SV1177 @ SV1583 ) @ ( c_List_Olist_OCons @ SV1950 @ SV2243 @ SV2425 ) @ SV1583 @ SV2425 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV296 @ SV1177 @ SV2243 @ SV1583 @ SV2425 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV296 @ SV739 ) @ SV1950 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4435]) ).
thf(4689,plain,
! [SV2426: $i,SV2244: $i,SV1951: $i,SV1584: $i,SV1178: $i,SV740: $i,SV297: $i] :
( ( ( c_List_Olist__all2 @ SV297 @ ( c_List_Olist_OCons @ SV740 @ SV1178 @ SV1584 ) @ ( c_List_Olist_OCons @ SV1951 @ SV2244 @ SV2426 ) @ SV1584 @ SV2426 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV297 @ SV1178 @ SV2244 @ SV1584 @ SV2426 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV297 @ SV740 ) @ SV1951 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4436]) ).
thf(4690,plain,
! [SV2529: $i,SV2427: $i,SV2247: $i,SV1954: $i,SV1587: $i,SV1181: $i,SV744: $i,SV301: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV301 @ SV744 @ SV1181 @ SV1587 )
!= ( c_Expr_Oexp_OFAss @ SV1954 @ SV2247 @ SV2427 @ SV2529 @ SV1587 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4439]) ).
thf(4691,plain,
! [SV2530: $i,SV2428: $i,SV2249: $i,SV1957: $i,SV1590: $i,SV1184: $i,SV747: $i,SV304: $i] :
( ( ! [SY9695: $i] :
( ( c_Expr_Oexp_OFAss @ SV304 @ SV747 @ SV1184 @ SV1590 @ SV1957 )
!= ( c_Expr_Oexp_OTryCatch @ SV2249 @ SV2428 @ SV2530 @ SY9695 @ SV1957 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4441]) ).
thf(4692,plain,
! [SV2429: $i,SV2250: $i,SV1958: $i,SV1591: $i,SV1185: $i,SV748: $i,SV305: $i] :
( ( ( c_Expr_Oexp_OCond @ SV305 @ SV748 @ SV1185 @ SV1591 )
= ( c_Expr_Oexp_OBinOp @ SV1958 @ SV2250 @ SV2429 @ SV1591 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4442]) ).
thf(4693,plain,
! [SV2531: $i,SV2430: $i,SV2251: $i,SV1959: $i,SV1592: $i,SV1186: $i,SV749: $i,SV306: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SV1592 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1959 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SV2251 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2430 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2531 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1592 @ SV1959 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2251 @ SV2430 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2531 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4443]) ).
thf(4694,plain,
! [SV2431: $i,SV2252: $i,SV1960: $i,SV1593: $i,SV1187: $i,SV750: $i,SV307: $i] :
( ( ( c_SmallStep_Oredp @ SV307 @ ( c_Expr_Oexp_OCond @ SV750 @ SV1187 @ SV1593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1960 @ ( c_Expr_Oexp_OCond @ SV2252 @ SV1187 @ SV1593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2431 )
= $true )
| ( ( ~ ( c_SmallStep_Oredp @ SV307 @ SV750 @ SV1960 @ SV2252 @ SV2431 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4444]) ).
thf(4695,plain,
! [SV2432: $i,SV2253: $i,SV1961: $i,SV1594: $i,SV1188: $i,SV751: $i,SV308: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV308 @ SV751 @ SV1188 @ SV1594 )
= ( c_Expr_Oexp_OFAcc @ SV1961 @ SV2253 @ SV2432 @ SV1594 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4445]) ).
thf(4696,plain,
! [SV1962: $i,SV1189: $i,SV2532: $i,SV1595: $i,SV752: $i,SV2433: $i,SV309: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV309 @ ( c_List_Olist_OCons @ SV2433 @ SV752 @ SV1595 ) @ ( c_List_Olist_OCons @ SV2532 @ SV1189 @ SV1962 ) @ SV1595 @ SV1962 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV309 @ SV752 @ SV1189 @ SV1595 @ SV1962 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4446]) ).
thf(4697,plain,
! [SV2434: $i,SV2254: $i,SV1963: $i,SV1596: $i,SV1190: $i,SV753: $i,SV310: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV310 @ SV753 @ SV1190 @ SV1596 @ SV1963 )
= ( c_Expr_Oexp_OWhile @ SV2254 @ SV2434 @ SV1963 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4447]) ).
thf(4698,plain,
! [SV2533: $i,SV2435: $i,SV754: $i,SV1964: $i,SV1597: $i,SV311: $i,SV1191: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1191 @ ( c_Pair @ SV311 @ SV1597 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1964 @ ( c_Pair @ SV754 @ SV2435 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2533 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Objects_Ohext @ SV311 @ SV754 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4448]) ).
thf(4699,plain,
! [SV2534: $i,SV2436: $i,SV2255: $i,SV1965: $i,SV1598: $i,SV1192: $i,SV755: $i,SV312: $i] :
( ( ! [SY9696: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV312 @ SV755 @ SV1192 @ SV1598 @ SV1965 )
!= ( c_Expr_Oexp_OFAss @ SV2255 @ SV2436 @ SV2534 @ SY9696 @ SV1965 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4449]) ).
thf(4700,plain,
! [SV2535: $i,SV2437: $i,SV2256: $i,SV1967: $i,SV1600: $i,SV1194: $i,SV757: $i,SV314: $i] :
( ( ( c_Expr_Oexp_OCond @ SV314 @ SV757 @ SV1194 @ SV1600 )
!= ( c_Expr_Oexp_OFAss @ SV1967 @ SV2256 @ SV2437 @ SV2535 @ SV1600 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4450]) ).
thf(4701,plain,
! [SV2536: $i,SV2438: $i,SV2257: $i,SV1968: $i,SV1601: $i,SV1195: $i,SV758: $i,SV315: $i] :
( ( ( c_SmallStep_Oredp @ SV315 @ ( c_Expr_Oexp_OFAss @ SV758 @ SV1195 @ SV1601 @ SV1968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2257 @ ( c_Expr_Oexp_OFAss @ SV2438 @ SV1195 @ SV1601 @ SV1968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2536 )
| ~ ( c_SmallStep_Oredp @ SV315 @ SV758 @ SV2257 @ SV2438 @ SV2536 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4451]) ).
thf(4702,plain,
! [SV2439: $i,SV2258: $i,SV1969: $i,SV1602: $i,SV1196: $i,SV759: $i,SV316: $i] :
( ( ( c_SmallStep_Oredp @ SV316 @ ( c_Expr_Oexp_OFAcc @ SV759 @ SV1196 @ SV1602 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1969 @ ( c_Expr_Oexp_OFAcc @ SV2258 @ SV1196 @ SV1602 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2439 )
= $true )
| ( ( ~ ( c_SmallStep_Oredp @ SV316 @ SV759 @ SV1969 @ SV2258 @ SV2439 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4452]) ).
thf(4703,plain,
! [SV1603: $i,SV2537: $i,SV1970: $i,SV1197: $i,SV760: $i,SV317: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1970 @ SV2537 ) )
= $true )
| ( ( ! [SY8541: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1603 @ SY8541 ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ ( c_Expr_Oexp_OBinOp @ SV1603 @ c_Expr_Obop_OEq @ SV1970 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4453]) ).
thf(4704,plain,
! [SV2538: $i,SV2440: $i,SV2260: $i,SV1972: $i,SV1605: $i,SV1199: $i,SV762: $i,SV320: $i] :
( ( ( c_SmallStep_Oredp @ SV320 @ ( c_Expr_Oexp_OTryCatch @ SV762 @ SV1199 @ SV1605 @ SV1972 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2260 @ ( c_Expr_Oexp_OTryCatch @ SV2440 @ SV1199 @ SV1605 @ SV1972 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2538 )
| ~ ( c_SmallStep_Oredp @ SV320 @ SV762 @ SV2260 @ SV2440 @ SV2538 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4455]) ).
thf(4705,plain,
! [SV2539: $i,SV2441: $i,SV2261: $i,SV1973: $i,SV1606: $i,SV1200: $i,SV763: $i,SV321: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV321 @ SV763 @ SV1200 @ SV1606 @ SV1973 )
!= ( c_Expr_Oexp_OFAcc @ SV2261 @ SV2441 @ SV2539 @ SV1973 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4456]) ).
thf(4706,plain,
! [SV2442: $i,SV2262: $i,SV1974: $i,SV1607: $i,SV1201: $i,SV764: $i,SV322: $i] :
( ( ( c_Expr_Oexp_OCond @ SV322 @ SV764 @ SV1201 @ SV1607 )
= ( c_Expr_Oexp_OFAcc @ SV1974 @ SV2262 @ SV2442 @ SV1607 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4457]) ).
thf(4707,plain,
! [SV767: $i,SV2265: $i,SV1977: $i,SV1610: $i,SV1204: $i,SV325: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV325 @ SV1204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1610 @ SV1977 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2265 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV325 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1204 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV1610 @ SV767 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1977 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2265 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4460]) ).
thf(4708,plain,
! [SV2540: $i,SV2443: $i,SV1207: $i,SV1979: $i,SV1615: $i,SV772: $i,SV331: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV331 @ ( c_List_Olist_OCons @ SV772 @ SV1615 @ SV1979 ) @ ( c_List_Olist_OCons @ SV1207 @ SV2443 @ SV2540 ) @ SV1979 @ SV2540 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ SV331 @ SV772 ) @ SV1207 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4461]) ).
thf(4709,plain,
! [SV2444: $i,SV2266: $i,SV1980: $i,SV1616: $i,SV1208: $i,SV773: $i,SV332: $i] :
( ( ( c_SmallStep_Oredp @ SV332 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SV1616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1980 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SV2266 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2444 )
= $true )
| ( ( ~ ( c_SmallStep_Oredp @ SV332 @ SV1616 @ SV1980 @ SV2266 @ SV2444 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4462]) ).
thf(4710,plain,
! [SV2445: $i,SV2267: $i,SV1981: $i,SV1617: $i,SV1209: $i,SV774: $i,SV333: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV333 @ SV774 @ SV1209 @ SV1617 )
= ( c_Expr_Oexp_OCond @ SV1981 @ SV2267 @ SV2445 @ SV1617 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4463]) ).
thf(4711,plain,
! [SV2446: $i,SV2269: $i,SV1983: $i,SV1618: $i,SV1211: $i,SV776: $i,SV335: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV335 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1618 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV1983 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2269 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2446 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV335 @ SV1618 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1983 @ SV2269 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2446 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4465]) ).
thf(4712,plain,
! [SV2541: $i,SV2447: $i,SV2270: $i,SV1984: $i,SV1619: $i,SV1212: $i,SV777: $i,SV336: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV336 @ SV777 @ SV1212 @ SV1619 @ SV1984 )
!= ( c_Expr_Oexp_OCond @ SV2270 @ SV2447 @ SV2541 @ SV1984 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4466]) ).
thf(4713,plain,
! [SV2542: $i,SV2448: $i,SV2272: $i,SV1986: $i,SV1622: $i,SV1215: $i,SV780: $i,SV339: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV339 @ SV780 @ SV1215 @ SV1622 )
!= ( c_Expr_Oexp_OTryCatch @ SV1986 @ SV2272 @ SV2448 @ SV2542 @ SV1622 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4469]) ).
thf(4714,plain,
! [SV2449: $i,SV2273: $i,SV1988: $i,SV1624: $i,SV1219: $i,SV784: $i,SV343: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV343 @ SV784 @ SV1219 )
= ( c_Expr_Oexp_OFAss @ SV1624 @ SV1988 @ SV2273 @ SV2449 @ SV1219 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4470]) ).
thf(4715,plain,
! [SV2543: $i,SV2450: $i,SV2275: $i,SV1990: $i,SV1626: $i,SV1221: $i,SV786: $i,SV345: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV345 @ SV786 @ SV1221 @ SV1626 @ SV1990 )
!= ( c_Expr_Oexp_OBinOp @ SV2275 @ SV2450 @ SV2543 @ SV1990 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4471]) ).
thf(4716,plain,
! [SV2451: $i,SV2276: $i,SV1991: $i,SV1627: $i,SV1222: $i,SV787: $i,SV346: $i] :
( ( ( c_Expr_Oexp_OWhile @ SV346 @ SV787 @ SV1222 )
= ( c_Expr_Oexp_OFAss @ SV1627 @ SV1991 @ SV2276 @ SV2451 @ SV1222 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4472]) ).
thf(4717,plain,
! [SV1628: $i,SV788: $i,SV1992: $i,SV2452: $i,SV1223: $i,SV347: $i] :
( ( ( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV347 @ SV1223 ) @ SV2452 @ SV1992 @ tc_Type_Oty @ tc_Type_Oty ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SV2452 @ tc_Value_Oval @ tc_Type_Oty ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SV1992 @ tc_Value_Oval @ tc_Type_Oty )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4473]) ).
thf(4718,plain,
! [SV2544: $i,SV2453: $i,SV2278: $i,SV1995: $i,SV1633: $i,SV1229: $i,SV794: $i,SV353: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ SV1633 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV1995 @ SV1229 @ SV353 @ SV2278 @ SV2453 @ SV1633 @ SV2544 @ SV794 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ ( c_Expr_Oexp_OTryCatch @ SV1633 @ SV1995 @ SV2453 @ SV2544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2278 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4476]) ).
thf(4719,plain,
! [SV2545: $i,SV795: $i,SV2454: $i,SV1996: $i,SV354: $i,SV1634: $i,SV1230: $i] :
( ( ( ~ ( c_BigStep_Oevals @ SV1230 @ SV1634 @ ( c_Pair @ SV354 @ SV1996 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SV2454 @ ( c_Pair @ SV795 @ SV2545 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Objects_Ohext @ SV354 @ SV795 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4477]) ).
thf(4720,plain,
! [SV1998: $i,SV1635: $i,SV356: $i,SV797: $i,SV1232: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1232 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) ) )
= $false )
| ( ( ! [SY9232: $i] :
~ ( c_WellType_OWT @ SV1232 @ SV797 @ ( c_Expr_Oexp_OCond @ SY9232 @ SV1635 @ SV1998 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV356 ) )
= $true )
| ( ( SV356
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4479]) ).
thf(4721,plain,
! [SV2280: $i,SV1999: $i,SV1636: $i,SV798: $i,SV1233: $i,SV357: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) ) )
= $true )
| ( ( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2280 @ SV1233 )
| ! [SY9543: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9543 @ SV798 )
| ! [SY9544: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9544 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SY9544 @ SY9543 @ SV2280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4480]) ).
thf(4722,plain,
! [SV2281: $i,SV2000: $i,SV1637: $i,SV1234: $i,SV799: $i,SV358: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
= $false )
| ( ( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2281 @ SV1234 )
| ! [SY9545: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9545 @ SV799 )
| ! [SY9546: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9546 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SY9546 @ SY9545 @ SV2281 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4481]) ).
thf(4723,plain,
! [SV800: $i,SV2001: $i,SV1638: $i,SV1235: $i,SV2455: $i,SV359: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV2455 @ SV1235 ) @ SV1638 ) @ SV2001 ) ) )
= $true )
| ( ( ~ ( c_Objects_Ohext @ SV2455 @ SV800 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV800 @ SV1235 ) @ SV1638 ) @ SV2001 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4482]) ).
thf(4724,plain,
! [SV2002: $i,SV1639: $i,SV1236: $i,SV361: $i,SV801: $i,SV2456: $i] :
( ( ( ~ ( c_Objects_Ohext @ SV2456 @ SV801 ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV2456 @ SV1236 ) @ SV1639 @ SV2002 @ tc_Value_Oval @ tc_Type_Oty ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV801 @ SV1236 ) @ SV1639 @ SV2002 @ tc_Value_Oval @ tc_Type_Oty )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4483]) ).
thf(4725,plain,
! [SV2457: $i,SV2283: $i,SV1642: $i,SV1239: $i,SV805: $i,SV365: $i] :
( ( ( c_WellType_OWT @ SV365 @ SV805 @ ( c_Expr_Oexp_OCond @ SV1239 @ SV1642 @ SV2283 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2457 )
= $false )
| ( ( c_WellType_OWT @ SV365 @ SV805 @ SV1239 @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4485]) ).
thf(4726,plain,
! [SV2546: $i,SV2458: $i,SV2284: $i,SV2004: $i,SV1643: $i,SV1240: $i,SV806: $i,SV366: $i] :
( ( ( c_Expr_Oexp_OCond @ SV366 @ SV806 @ SV1240 @ SV1643 )
!= ( c_Expr_Oexp_OTryCatch @ SV2004 @ SV2284 @ SV2458 @ SV2546 @ SV1643 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4486]) ).
thf(4727,plain,
! [SV2547: $i,SV2459: $i,SV2006: $i,SV810: $i,SV1646: $i,SV1242: $i,SV370: $i] :
( ( ( ~ ( c_WellType_OWT @ SV370 @ SV1242 @ ( c_Expr_Oexp_OTryCatch @ SV1646 @ SV810 @ SV2006 @ SV2459 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2547 ) )
= $true )
| ( ( c_Decl_Ois__class @ SV370 @ SV810 @ ( 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)],[4487]) ).
thf(4728,plain,
! [SV2007: $i,SV1647: $i,SV2285: $i,SV2548: $i,SV1243: $i,SV811: $i,SV371: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ ( c_Expr_Oexp_OCond @ SV2548 @ SV2285 @ SV1647 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2007 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ SV1647 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV1243 @ SV371 @ SV2007 @ SV2285 @ SV1647 @ SV811 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4488]) ).
thf(4729,plain,
! [SV2008: $i,SV2286: $i,SV1648: $i,SV2549: $i,SV1244: $i,SV812: $i,SV372: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ ( c_Expr_Oexp_OCond @ SV2549 @ SV1648 @ SV2286 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2008 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ SV1648 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV1244 @ SV372 @ SV2008 @ SV1648 @ SV2286 @ SV812 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4489]) ).
thf(4730,plain,
! [SV1245: $i,SV1649: $i,SV813: $i,SV2460: $i,SV2287: $i,SV373: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV373 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2287 ) @ SV2460 ) ) )
= $true )
| ( ( ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1649 @ SV2460 )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1245 @ SV2287 ) )
= $true )
| ( ( c_WellType_OWT @ SV373 @ SV813 @ ( c_Expr_Oexp_OBinOp @ SV1245 @ c_Expr_Obop_OEq @ SV1649 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4490]) ).
thf(4731,plain,
! [SV1246: $i,SV1650: $i,SV814: $i,SV2461: $i,SV2288: $i,SV374: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV374 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2288 ) @ SV2461 ) ) )
= $true )
| ( ( ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1650 @ SV2288 )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1246 @ SV2461 ) )
= $true )
| ( ( c_WellType_OWT @ SV374 @ SV814 @ ( c_Expr_Oexp_OBinOp @ SV1246 @ c_Expr_Obop_OEq @ SV1650 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4491]) ).
thf(4732,plain,
! [SV2290: $i,SV2011: $i,SV1653: $i,SV377: $i,SV817: $i,SV1249: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1249 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) ) ) )
= $true )
| ( ( ! [SY9554: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1249 @ SV2290 @ SV817 @ ( c_Expr_Oexp_OCond @ SY9554 @ SV1653 @ SV2011 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV377 ) )
= $true )
| ( ( SV377
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4493]) ).
thf(4733,plain,
! [SV818: $i,SV1654: $i,SV1250: $i,SV378: $i] :
( ( ( c_WellType_OWT @ SV378 @ SV1250 @ SV1654 @ SV818 )
= $false )
| ( ( ! [SY8650: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY8650 @ SV818 )
| ! [SY8651: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY8651 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV378 @ SV1250 @ ( c_Expr_Oexp_OCond @ SY8651 @ SY8650 @ SV1654 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4494]) ).
thf(4734,plain,
! [SV380: $i,SV1655: $i,SV1252: $i,SV820: $i,SV2291: $i] :
( ( ( c_Map_Omap__le @ SV2291 @ SV820 @ SV1252 @ SV1655 )
= $false )
| ( ( ~ ( c_Map_Omap__le @ SV380 @ SV2291 @ SV1252 @ SV1655 ) )
= $true )
| ( ( c_Map_Omap__le @ SV380 @ SV820 @ SV1252 @ SV1655 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4495]) ).
thf(4735,plain,
! [SV1656: $i,SV1253: $i,SV381: $i,SV821: $i,SV2292: $i] :
( ( ( c_Map_Omap__le @ SV2292 @ SV821 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
= $false )
| ( ( ~ ( c_WellType_OWT @ SV381 @ SV2292 @ SV1253 @ SV1656 ) )
= $true )
| ( ( c_WellType_OWT @ SV381 @ SV821 @ SV1253 @ SV1656 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4496]) ).
thf(4736,plain,
! [SV2550: $i,SV822: $i,SV2462: $i,SV2012: $i,SV382: $i,SV1657: $i,SV1254: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV1254 @ SV1657 @ ( c_Pair @ SV382 @ SV2012 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SV2462 @ ( c_Pair @ SV822 @ SV2550 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Objects_Ohext @ SV382 @ SV822 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4497]) ).
thf(4737,plain,
! [SV823: $i,SV2013: $i,SV1658: $i,SV1255: $i,SV383: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2013 @ SV823 ) )
= $true )
| ( ( ! [SY9256: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9256 @ SV823 )
| ! [SY9257: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9257 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ ( c_Expr_Oexp_OCond @ SY9257 @ SY9256 @ SV2013 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4498]) ).
thf(4738,plain,
! [SV1659: $i,SV2551: $i,SV2463: $i,SV2014: $i,SV1256: $i,SV824: $i,SV384: $i] :
( ( ( ~ ( c_WellType_OWT @ SV384 @ SV824 @ ( c_Expr_Oexp_OTryCatch @ SV1256 @ SV2014 @ SV2463 @ SV2551 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1659 ) )
= $true )
| ( ( c_WellType_OWT @ SV384 @ SV824 @ SV1256 @ SV1659 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4499]) ).
thf(4739,plain,
! [SV2552: $i,SV2464: $i,SV2015: $i,SV1660: $i,SV1257: $i,SV825: $i,SV385: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ ( c_Expr_Oexp_OFAcc @ SV1660 @ SV2015 @ SV2464 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2552 )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ SV1660 @ c_Type_Oty_ONT ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4500]) ).
thf(4740,plain,
! [SV2293: $i,SV2016: $i,SV1661: $i,SV1258: $i,SV826: $i,SV386: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) )
= $true )
| ( ( ! [SY9555: $i] :
~ ( c_WellTypeRT_OWTrt @ SV386 @ SV2293 @ SV826 @ ( c_Expr_Oexp_OCond @ SY9555 @ SV1661 @ SV2016 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1258 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4501]) ).
thf(4741,plain,
! [SV2553: $i,SV2465: $i,SV2017: $i,SV1662: $i,SV1259: $i,SV827: $i,SV387: $i] :
( ( ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ ( c_Expr_Oexp_OFAcc @ SV1662 @ SV2017 @ SV2465 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2553 )
= $true )
| ( ( ~ ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ SV1662 @ c_Type_Oty_ONT ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4502]) ).
thf(4742,plain,
! [SV2466: $i,SV2294: $i,SV1663: $i,SV1260: $i,SV828: $i,SV388: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SV1260 @ ( c_Expr_Oexp_OWhile @ SV1663 @ SV2294 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2466 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV388 @ SV828 @ SV1260 @ SV1663 @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4503]) ).
thf(4743,plain,
! [SV2020: $i,SV1264: $i,SV2296: $i,SV1667: $i,SV832: $i,SV392: $i] :
( ( ( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1667 @ SV2296 @ tc_Type_Oty @ tc_Type_Oty ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1264 ) @ SV2020 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ ( c_List_Olist_OCons @ SV1264 @ SV1667 @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ SV2020 @ SV2296 @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4506]) ).
thf(4744,plain,
! [SV2021: $i,SV1668: $i,SV833: $i,SV393: $i] :
( ( ( c_Map_Omap__le @ SV393 @ SV833 @ SV1668 @ SV2021 )
= $false )
| ( ( c_Map_Omap__le @ SV833 @ SV393 @ SV1668 @ SV2021 )
= $false )
| ( ( SV393 = SV833 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4507]) ).
thf(4745,plain,
! [SV2554: $i,SV2467: $i,SV2298: $i,SV2024: $i,SV1671: $i,SV1266: $i,SV836: $i,SV396: $i] :
( ( ( c_BigStep_Oeval @ SV396 @ ( c_Expr_Oexp_OTryCatch @ SV836 @ SV1266 @ SV1671 @ SV2024 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2298 @ ( c_Expr_Oexp_OVal @ SV2467 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2554 )
| ~ ( c_BigStep_Oeval @ SV396 @ SV836 @ SV2298 @ ( c_Expr_Oexp_OVal @ SV2467 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2554 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4509]) ).
thf(4746,plain,
! [SV2555: $i,SV2468: $i,SV2299: $i,SV2025: $i,SV1672: $i,SV1267: $i,SV837: $i,SV397: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV397 @ SV837 @ SV1267 @ SV1672 @ SV2025 )
!= ( c_Expr_Oexp_OCond @ SV2299 @ SV2468 @ SV2555 @ SV2025 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4510]) ).
thf(4747,plain,
! [SV838: $i,SV1268: $i,SV2026: $i,SV1673: $i,SV398: $i] :
( ( ( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SV2026 @ SV1268 ) )
= $true )
| ( ( ! [SY9275: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9275 @ SV838 )
| ! [SY9276: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9276 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SY9276 @ SY9275 @ SV2026 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4511]) ).
thf(4748,plain,
! [SV2027: $i,SV1674: $i,SV839: $i,SV1269: $i,SV399: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
= $false )
| ( ( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SV2027 @ SV1269 )
| ! [SY9277: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9277 @ SV839 )
| ! [SY9278: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9278 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SY9278 @ SY9277 @ SV2027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4512]) ).
thf(4749,plain,
! [SV1675: $i,SV840: $i,SV2300: $i,SV2028: $i,SV2556: $i,SV1270: $i,SV400: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV400 @ SV1270 @ SV2556 @ SV2028 @ SV2300 )
| ! [SY9697: $i] :
~ ( c_BigStep_Oeval @ SV400 @ SV840 @ SV1675 @ ( c_Expr_Oexp_OVal @ SY9697 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2556 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV400 @ ( c_Expr_Oexp_OSeq @ SV840 @ SV1270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1675 @ SV2028 @ SV2300 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4513]) ).
thf(4750,plain,
! [SV1676: $i,SV2301: $i,SV2029: $i,SV1271: $i,SV841: $i,SV401: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV2029 @ SV2301 ) )
= $true )
| ( ( ! [SY8703: $i] :
~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV1676 @ SY8703 ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ ( c_Expr_Oexp_OSeq @ SV1676 @ SV2029 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2301 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4514]) ).
thf(4751,plain,
! [SV2557: $i,SV2469: $i,SV2030: $i,SV1677: $i,SV1272: $i,SV842: $i,SV402: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ ( c_Expr_Oexp_OCond @ SV1677 @ SV2030 @ SV2469 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2557 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ SV1677 @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4515]) ).
thf(4752,plain,
! [SV1678: $i,SV1273: $i,SV2031: $i,SV2470: $i,SV843: $i,SV403: $i] :
( ( ( c_WellType_OWT @ SV403 @ SV843 @ ( c_Expr_Oexp_OCond @ SV2470 @ SV2031 @ SV1273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1678 )
= $false )
| ( ( c_WellType_OWT @ SV403 @ SV843 @ SV1273 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV843 @ SV403 @ SV1678 @ SV2031 @ SV1273 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4516]) ).
thf(4753,plain,
! [SV1679: $i,SV2032: $i,SV1274: $i,SV2471: $i,SV844: $i,SV404: $i] :
( ( ( c_WellType_OWT @ SV404 @ SV844 @ ( c_Expr_Oexp_OCond @ SV2471 @ SV1274 @ SV2032 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1679 )
= $false )
| ( ( c_WellType_OWT @ SV404 @ SV844 @ SV1274 @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV844 @ SV404 @ SV1679 @ SV1274 @ SV2032 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4517]) ).
thf(4754,plain,
! [SV2302: $i,SV2034: $i,SV1681: $i,SV406: $i,SV846: $i,SV1276: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1276 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) ) ) )
= $true )
| ( ( ! [SY9564: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1276 @ SV2302 @ SV846 @ ( c_Expr_Oexp_OCond @ SY9564 @ SV1681 @ SV2034 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV406 ) )
= $true )
| ( ( SV406
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4519]) ).
thf(4755,plain,
! [SV1277: $i,SV2035: $i,SV1682: $i,SV2558: $i,SV847: $i,SV407: $i] :
( ( ( ~ ( c_WellType_OWT @ SV407 @ SV847 @ ( c_Expr_Oexp_OCond @ SV2558 @ SV1682 @ SV2035 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1277 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4520]) ).
thf(4756,plain,
! [SV2472: $i,SV2036: $i,SV1683: $i,SV1278: $i,SV848: $i,SV408: $i] :
( ( ( ( c_Pair @ SV408 @ SV848 @ SV1278 @ SV1683 )
= ( c_Pair @ SV2036 @ SV2472 @ SV1278 @ SV1683 ) )
= $false )
| ( ( SV408 = SV2036 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4521]) ).
thf(4757,plain,
! [SV2303: $i,SV2037: $i,SV1684: $i,SV1279: $i,SV849: $i,SV409: $i] :
( ( ( ( c_Pair @ SV409 @ SV849 @ SV1279 @ SV1684 )
= ( c_Pair @ SV2037 @ SV2303 @ SV1279 @ SV1684 ) )
= $false )
| ( ( SV849 = SV2303 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4522]) ).
thf(4758,plain,
! [SV1281: $i,SV2039: $i,SV1686: $i,SV851: $i,SV411: $i] :
( ( ( c_WellType_OWT @ SV411 @ SV851 @ SV1686 @ SV2039 )
= $false )
| ( ( ! [SY7788: $i] :
~ ( c_WellType_OWT @ SV411 @ SV851 @ SV1281 @ SY7788 ) )
= $true )
| ( ( c_WellType_OWT @ SV411 @ SV851 @ ( c_Expr_Oexp_OSeq @ SV1281 @ SV1686 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2039 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4524]) ).
thf(4759,plain,
! [SV2473: $i,SV2305: $i,SV2040: $i,SV1687: $i,SV1282: $i,SV852: $i,SV412: $i] :
( ( ( ( c_Expr_Oexp_OCond @ SV412 @ SV852 @ SV1282 @ SV1687 )
!= ( c_Expr_Oexp_OCond @ SV2040 @ SV2305 @ SV2473 @ SV1687 ) )
= $true )
| ( ( SV1282 = SV2473 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4525]) ).
thf(4760,plain,
! [SV2559: $i,SV2306: $i,SV2041: $i,SV1688: $i,SV1283: $i,SV853: $i,SV413: $i] :
( ( ( ( c_Expr_Oexp_OCond @ SV413 @ SV853 @ SV1283 @ SV1688 )
!= ( c_Expr_Oexp_OCond @ SV2041 @ SV2306 @ SV2559 @ SV1688 ) )
= $true )
| ( ( SV853 = SV2306 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4526]) ).
thf(4761,plain,
! [SV2560: $i,SV2474: $i,SV2042: $i,SV1689: $i,SV1284: $i,SV854: $i,SV414: $i] :
( ( ( ( c_Expr_Oexp_OCond @ SV414 @ SV854 @ SV1284 @ SV1689 )
!= ( c_Expr_Oexp_OCond @ SV2042 @ SV2474 @ SV2560 @ SV1689 ) )
= $true )
| ( ( SV414 = SV2042 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4527]) ).
thf(4762,plain,
! [SV2043: $i,SV1690: $i,SV415: $i,SV855: $i,SV1285: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1285 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) ) )
= $false )
| ( ( ! [SY9301: $i] :
~ ( c_WellType_OWT @ SV1285 @ SV855 @ ( c_Expr_Oexp_OCond @ SY9301 @ SV1690 @ SV2043 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV415 ) )
= $true )
| ( ( SV415
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4528]) ).
thf(4763,plain,
! [SV2561: $i,SV2475: $i,SV2307: $i,SV2044: $i,SV1691: $i,SV1286: $i,SV856: $i,SV416: $i] :
( ( ! [SY9698: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV416 @ SV856 @ SV1286 @ SV1691 @ SV2044 )
!= ( c_Expr_Oexp_OTryCatch @ SV2307 @ SV2475 @ SV2561 @ SY9698 @ SV2044 ) )
| ( SV1691 = SY9698 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4529]) ).
thf(4764,plain,
! [SV2562: $i,SV2476: $i,SV2308: $i,SV2045: $i,SV1692: $i,SV1287: $i,SV857: $i,SV417: $i] :
( ( ! [SY9699: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV417 @ SV857 @ SV1287 @ SV1692 @ SV2045 )
!= ( c_Expr_Oexp_OTryCatch @ SV2308 @ SV2476 @ SV2562 @ SY9699 @ SV2045 ) )
| ( SV1287 = SV2562 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4530]) ).
thf(4765,plain,
! [SV2477: $i,SV2309: $i,SV2046: $i,SV1693: $i,SV1288: $i,SV858: $i,SV418: $i] :
( ( ( ! [SY9681: $i,SY9682: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV418 @ SV858 @ SV1288 @ SV1693 @ SV2046 )
!= ( c_Expr_Oexp_OTryCatch @ SV2309 @ SV2477 @ SY9681 @ SY9682 @ SV2046 ) ) )
= $true )
| ( ( SV858 = SV2477 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4531]) ).
thf(4766,plain,
! [SV2478: $i,SV2310: $i,SV2047: $i,SV1694: $i,SV1289: $i,SV859: $i,SV419: $i] :
( ( ( ! [SY9683: $i,SY9684: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV419 @ SV859 @ SV1289 @ SV1694 @ SV2047 )
!= ( c_Expr_Oexp_OTryCatch @ SV2310 @ SV2478 @ SY9683 @ SY9684 @ SV2047 ) ) )
= $true )
| ( ( SV419 = SV2310 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4532]) ).
thf(4767,plain,
! [SV2479: $i,SV2311: $i,SV2048: $i,SV1696: $i,SV1292: $i,SV863: $i,SV423: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV423 @ SV863 @ SV1292 @ SV1696 @ SV2048 )
= ( c_Expr_Oexp_OSeq @ SV2311 @ SV2479 @ SV2048 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4533]) ).
thf(4768,plain,
! [SV2480: $i,SV2312: $i,SV2049: $i,SV1697: $i,SV1293: $i,SV864: $i,SV424: $i] :
( ( ( c_Expr_Oexp_OSeq @ SV424 @ SV864 @ SV1293 )
= ( c_Expr_Oexp_OTryCatch @ SV1697 @ SV2049 @ SV2312 @ SV2480 @ SV1293 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4534]) ).
thf(4769,plain,
! [SV1698: $i,SV2313: $i,SV2050: $i,SV1295: $i,SV870: $i,SV430: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV2050 @ SV2313 ) )
= $true )
| ( ( ! [SY8764: $i] :
~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV1698 @ SY8764 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ ( c_Expr_Oexp_OSeq @ SV1698 @ SV2050 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2313 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4535]) ).
thf(4770,plain,
! [SV872: $i,SV2051: $i,SV1699: $i,SV1296: $i,SV432: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2051 @ SV872 ) )
= $true )
| ( ( ! [SY9324: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9324 @ SV872 )
| ! [SY9325: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9325 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ ( c_Expr_Oexp_OCond @ SY9325 @ SY9324 @ SV2051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4536]) ).
thf(4771,plain,
! [SV2052: $i,SV1700: $i,SV874: $i,SV434: $i,SV1297: $i,SV2481: $i] :
( ( ( ~ ( c_Map_Omap__le @ SV2481 @ SV1297 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SV2481 @ SV1700 @ SV2052 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SV1297 @ SV1700 @ SV2052 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4537]) ).
thf(4772,plain,
! [SV2563: $i,SV2482: $i,SV2314: $i,SV2055: $i,SV1703: $i,SV1300: $i,SV877: $i,SV437: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV437 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV877 @ SV1300 @ SV437 @ SV1703 @ SV2055 @ SV2314 @ SV2482 @ SV2563 ) ) @ SV1703 ) )
| ~ ( c_WellTypeRT_OWTrt @ SV437 @ SV2563 @ SV1300 @ ( c_Expr_Oexp_OTryCatch @ SV2314 @ SV877 @ SV2055 @ SV2482 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1703 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4540]) ).
thf(4773,plain,
! [SV1302: $i,SV1704: $i,SV2315: $i,SV879: $i,SV439: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV2315 ) @ SV1704 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SV2315 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SV1704 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4541]) ).
thf(4774,plain,
! [SV1705: $i,SV880: $i,SV2056: $i,SV2483: $i,SV1303: $i,SV440: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV440 @ SV1303 ) @ SV2483 ) @ SV2056 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SV2483 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SV2056 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4542]) ).
thf(4775,plain,
! [SV2058: $i,SV1707: $i,SV1305: $i,SV442: $i,SV882: $i,SV2484: $i] :
( ( ( ~ ( c_Objects_Ohext @ SV2484 @ SV882 ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV442 @ SV2484 @ SV1305 @ SV1707 @ SV2058 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV442 @ SV882 @ SV1305 @ SV1707 @ SV2058 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4544]) ).
thf(4776,plain,
! [SV2316: $i,SV2059: $i,SV1708: $i,SV883: $i,SV1306: $i,SV443: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2316 @ SV1306 )
| ! [SY9584: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9584 @ SV883 )
| ! [SY9585: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9585 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SY9585 @ SY9584 @ SV2316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4545]) ).
thf(4777,plain,
! [SV2317: $i,SV2060: $i,SV1709: $i,SV1307: $i,SV884: $i,SV444: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
= $false )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2317 @ SV1307 )
| ! [SY9586: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9586 @ SV884 )
| ! [SY9587: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9587 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SY9587 @ SY9586 @ SV2317 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4546]) ).
thf(4778,plain,
! [SV1308: $i,SV1710: $i,SV2318: $i,SV886: $i,SV445: $i] :
( ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV2318 @ SV1710 @ tc_Type_Oty @ tc_Type_Oty )
= $false )
| ( ( ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SV2318 @ tc_Type_Oty @ tc_Type_Oty ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SV1710 @ tc_Type_Oty @ tc_Type_Oty )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4547]) ).
thf(4779,plain,
! [SV1311: $i,SV452: $i,SV2061: $i,SV1713: $i,SV2485: $i,SV891: $i,SV3: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV3 @ SV891 @ SV2485 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2061 ) )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV3 @ SV452 @ SV1311 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2485 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV3 @ ( c_Expr_Oexp_OWhile @ SV452 @ SV891 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1311 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2061 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4548]) ).
thf(4780,plain,
! [SV1312: $i,SV2062: $i,SV1714: $i,SV2319: $i,SV892: $i,SV453: $i,SV6: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 @ SV1714 @ SV2062 ) )
= $true )
| ( ( ! [SY9588: $i] :
( ! [SY9589: $i] :
~ ( c_BigStep_Oeval @ SV6 @ SV892 @ SY9588 @ ( c_Expr_Oexp_OVal @ SY9589 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 )
| ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SV1312 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9588 ) ) )
= $true )
| ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1312 @ SV1714 @ SV2062 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4549]) ).
thf(4781,plain,
! [SV1314: $i,SV1715: $i,SV455: $i,SV2320: $i,SV2063: $i,SV2564: $i,SV894: $i,SV8: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV8 @ SV894 @ SV2564 @ SV2063 @ SV2320 )
| ~ ( c_BigStep_Oeval @ SV8 @ SV455 @ SV1715 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2564 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV8 @ ( c_Expr_Oexp_OCond @ SV455 @ SV894 @ SV1314 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1715 @ SV2063 @ SV2320 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4550]) ).
thf(4782,plain,
! [SV899: $i,SV2065: $i,SV1719: $i,SV1319: $i,SV2321: $i,SV460: $i,SV15: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9591: $i] :
( ! [SY9592: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SY9591 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9592 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9591 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4551]) ).
thf(4783,plain,
! [SV900: $i,SV1320: $i,SV16: $i,SV2322: $i,SV2066: $i,SV1720: $i,SV2565: $i,SV461: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV461 @ SV2565 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV16 @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2565 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV16 @ SV461 @ SV900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4552]) ).
thf(4784,plain,
! [SV1341: $i,SV921: $i,SV2325: $i,SV2076: $i,SV1735: $i,SV482: $i,SV37: $i] :
( ( ( c_SmallStep_Oredp @ SV37 @ SV482 @ SV1735 @ SV2076 @ SV2325 )
= $false )
| ( ( c_SmallStep_Oredp @ SV37 @ ( c_Expr_Oexp_OCall @ SV482 @ SV921 @ SV1341 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1735 @ ( c_Expr_Oexp_OCall @ SV2076 @ SV921 @ SV1341 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2325 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4558]) ).
thf(4785,plain,
! [SV2486: $i,SV2327: $i,SV2080: $i,SV1739: $i,SV1345: $i,SV925: $i,SV486: $i,SV41: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV41 @ SV486 @ SV925 @ SV1345 @ SV1739 )
= ( c_Expr_Oexp_OCall @ SV2080 @ SV2327 @ SV2486 @ SV1739 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4561]) ).
thf(4786,plain,
! [SV2487: $i,SV2329: $i,SV2085: $i,SV1745: $i,SV1352: $i,SV932: $i,SV493: $i,SV48: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV48 @ SV493 @ SV932 @ SV1352 @ SV1745 )
= ( c_Expr_Oexp_OBlock @ SV2085 @ SV2329 @ SV2487 @ SV1745 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4563]) ).
thf(4787,plain,
! [SV2488: $i,SV2331: $i,SV2087: $i,SV1748: $i,SV1356: $i,SV936: $i,SV497: $i,SV52: $i] :
( ( ( c_BigStep_Oeval @ SV52 @ ( c_Expr_Oexp_OFAss @ SV497 @ SV936 @ SV1356 @ SV1748 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2087 @ ( c_Expr_Oexp_Othrow @ SV2331 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2488 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV52 @ SV497 @ SV2087 @ ( c_Expr_Oexp_Othrow @ SV2331 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2488 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4565]) ).
thf(4788,plain,
! [SV1753: $i,SV2489: $i,SV1363: $i,SV2333: $i,SV943: $i,SV504: $i,SV59: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ ( c_List_Olist_OCons @ SV2333 @ SV1363 @ SV504 ) @ ( c_List_Olist_OCons @ SV2489 @ SV1753 @ SV943 ) @ SV504 @ SV943 )
= $false )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV59 @ SV504 @ SV943 ) @ SV1363 @ SV1753 @ SV504 @ SV943 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4568]) ).
thf(4789,plain,
! [SV945: $i,SV506: $i,SV2334: $i,SV2092: $i,SV1755: $i,SV1365: $i,SV61: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV61 @ SV1365 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1755 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2092 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2334 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV61 @ SV506 @ SV945 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1365 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1755 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2092 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2334 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4569]) ).
thf(4790,plain,
! [SV1366: $i,SV946: $i,SV2335: $i,SV2093: $i,SV1756: $i,SV507: $i,SV62: $i] :
( ( ( c_BigStep_Oeval @ SV62 @ SV507 @ SV1756 @ ( c_Expr_Oexp_Othrow @ SV2093 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2335 )
= $false )
| ( ( c_BigStep_Oeval @ SV62 @ ( c_Expr_Oexp_OFAcc @ SV507 @ SV946 @ SV1366 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1756 @ ( c_Expr_Oexp_Othrow @ SV2093 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2335 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4570]) ).
thf(4791,plain,
! [SV2490: $i,SV2336: $i,SV2095: $i,SV1759: $i,SV1369: $i,SV950: $i,SV511: $i,SV66: $i] :
( ( ( c_Expr_Oexp_OCall @ SV66 @ SV511 @ SV950 @ SV1369 )
= ( c_Expr_Oexp_OTryCatch @ SV1759 @ SV2095 @ SV2336 @ SV2490 @ SV1369 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4571]) ).
thf(4792,plain,
! [SV2337: $i,SV2096: $i,SV1762: $i,SV1374: $i,SV955: $i,SV516: $i,SV71: $i] :
( ( ( ( c_Expr_Oexp_OBlock @ SV71 @ SV516 @ SV955 @ SV1374 )
= ( c_Expr_Oexp_OBlock @ SV1762 @ SV2096 @ SV2337 @ SV1374 ) )
= $false )
| ( ( SV955 = SV2337 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4572]) ).
thf(4793,plain,
! [SV2491: $i,SV2097: $i,SV1763: $i,SV1375: $i,SV956: $i,SV517: $i,SV72: $i] :
( ( ( ( c_Expr_Oexp_OBlock @ SV72 @ SV517 @ SV956 @ SV1375 )
= ( c_Expr_Oexp_OBlock @ SV1763 @ SV2097 @ SV2491 @ SV1375 ) )
= $false )
| ( ( SV517 = SV2097 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4573]) ).
thf(4794,plain,
! [SV2492: $i,SV2338: $i,SV1764: $i,SV1376: $i,SV957: $i,SV518: $i,SV73: $i] :
( ( ( ( c_Expr_Oexp_OBlock @ SV73 @ SV518 @ SV957 @ SV1376 )
= ( c_Expr_Oexp_OBlock @ SV1764 @ SV2338 @ SV2492 @ SV1376 ) )
= $false )
| ( ( SV73 = SV1764 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4574]) ).
thf(4795,plain,
! [SV2493: $i,SV2339: $i,SV2098: $i,SV1766: $i,SV1378: $i,SV959: $i,SV520: $i,SV75: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV75 @ SV520 @ SV959 @ SV1378 )
= ( c_Expr_Oexp_OTryCatch @ SV1766 @ SV2098 @ SV2339 @ SV2493 @ SV1378 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4575]) ).
thf(4796,plain,
! [SV968: $i,SV84: $i,SV2107: $i,SV1773: $i,SV1387: $i,SV2494: $i,SV529: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV529 @ SV2494 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV84 @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2494 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV84 @ SV529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4579]) ).
thf(4797,plain,
! [SV1394: $i,SV978: $i,SV2344: $i,SV2113: $i,SV1781: $i,SV539: $i,SV94: $i] :
( ( ( c_BigStep_Oeval @ SV94 @ SV539 @ SV1781 @ ( c_Expr_Oexp_Othrow @ SV2113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2344 )
= $false )
| ( ( c_BigStep_Oeval @ SV94 @ ( c_Expr_Oexp_OCall @ SV539 @ SV978 @ SV1394 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1781 @ ( c_Expr_Oexp_Othrow @ SV2113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2344 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4581]) ).
thf(4798,plain,
! [SV990: $i,SV1790: $i,SV551: $i,SV2348: $i,SV2120: $i,SV2566: $i,SV1406: $i,SV106: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV106 @ SV1406 @ SV2566 @ SV2120 @ SV2348 )
| ~ ( c_BigStep_Oeval @ SV106 @ SV551 @ SV1790 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2566 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV106 @ ( c_Expr_Oexp_OCond @ SV551 @ SV990 @ SV1406 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1790 @ SV2120 @ SV2348 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4585]) ).
thf(4799,plain,
! [SV2495: $i,SV2352: $i,SV2129: $i,SV1802: $i,SV1418: $i,SV1003: $i,SV564: $i,SV119: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV119 @ SV564 @ SV1003 @ SV1418 @ SV1802 )
= ( c_Expr_Oexp_OCall @ SV2129 @ SV2352 @ SV2495 @ SV1802 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4590]) ).
thf(4800,plain,
! [SV567: $i,SV1421: $i,SV122: $i,SV2354: $i,SV2131: $i,SV1804: $i,SV2567: $i,SV1006: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1006 @ SV2567 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV122 @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2567 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV122 @ SV567 @ SV1006 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4592]) ).
thf(4801,plain,
! [SV1426: $i,SV1011: $i,SV2357: $i,SV2136: $i,SV1809: $i,SV572: $i,SV127: $i] :
( ( ( c_BigStep_Oeval @ SV127 @ SV572 @ SV1809 @ ( c_Expr_Oexp_Othrow @ SV2136 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2357 )
= $false )
| ( ( c_BigStep_Oeval @ SV127 @ ( c_Expr_Oexp_OCond @ SV572 @ SV1011 @ SV1426 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1809 @ ( c_Expr_Oexp_Othrow @ SV2136 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2357 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4595]) ).
thf(4802,plain,
! [SV2496: $i,SV2358: $i,SV2140: $i,SV1813: $i,SV1431: $i,SV1016: $i,SV577: $i,SV132: $i] :
( ( ( c_Expr_Oexp_OBlock @ SV132 @ SV577 @ SV1016 @ SV1431 )
= ( c_Expr_Oexp_OFAss @ SV1813 @ SV2140 @ SV2358 @ SV2496 @ SV1431 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4597]) ).
thf(4803,plain,
! [SV2497: $i,SV2359: $i,SV1818: $i,SV1436: $i,SV1021: $i,SV582: $i,SV137: $i] :
( ( ( ( c_Expr_Oexp_OCall @ SV137 @ SV582 @ SV1021 @ SV1436 )
= ( c_Expr_Oexp_OCall @ SV1818 @ SV2359 @ SV2497 @ SV1436 ) )
= $false )
| ( ( SV137 = SV1818 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4599]) ).
thf(4804,plain,
! [SV2498: $i,SV2143: $i,SV1819: $i,SV1437: $i,SV1022: $i,SV583: $i,SV138: $i] :
( ( ( ( c_Expr_Oexp_OCall @ SV138 @ SV583 @ SV1022 @ SV1437 )
= ( c_Expr_Oexp_OCall @ SV1819 @ SV2143 @ SV2498 @ SV1437 ) )
= $false )
| ( ( SV583 = SV2143 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4600]) ).
thf(4805,plain,
! [SV2360: $i,SV2144: $i,SV1820: $i,SV1438: $i,SV1023: $i,SV584: $i,SV139: $i] :
( ( ( ( c_Expr_Oexp_OCall @ SV139 @ SV584 @ SV1023 @ SV1438 )
= ( c_Expr_Oexp_OCall @ SV1820 @ SV2144 @ SV2360 @ SV1438 ) )
= $false )
| ( ( SV1023 = SV2360 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4601]) ).
thf(4806,plain,
! [SV1828: $i,SV1448: $i,SV1033: $i,SV149: $i,SV594: $i,SV2363: $i] :
( ( ( c_Objects_Ohext @ SV2363 @ SV594 )
= $false )
| ( ( ~ ( c_Conform_Olconf @ SV149 @ SV2363 @ SV1033 @ SV1448 @ SV1828 ) )
= $true )
| ( ( c_Conform_Olconf @ SV149 @ SV594 @ SV1033 @ SV1448 @ SV1828 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4604]) ).
thf(4807,plain,
! [SV2499: $i,SV2364: $i,SV2149: $i,SV1832: $i,SV1453: $i,SV1038: $i,SV599: $i,SV154: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV154 @ SV599 @ SV1038 @ SV1453 @ SV1832 )
= ( c_Expr_Oexp_OBlock @ SV2149 @ SV2364 @ SV2499 @ SV1832 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4605]) ).
thf(4808,plain,
! [SV1456: $i,SV1041: $i,SV2365: $i,SV2151: $i,SV1835: $i,SV602: $i,SV157: $i] :
( ( ( c_BigStep_Oeval @ SV157 @ SV602 @ SV1835 @ ( c_Expr_Oexp_Othrow @ SV2151 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2365 )
= $false )
| ( ( c_BigStep_Oeval @ SV157 @ ( c_Expr_Oexp_OBinOp @ SV602 @ SV1041 @ SV1456 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1835 @ ( c_Expr_Oexp_Othrow @ SV2151 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2365 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4606]) ).
thf(4809,plain,
! [SV2500: $i,SV2366: $i,SV2153: $i,SV1838: $i,SV1460: $i,SV1045: $i,SV606: $i,SV161: $i] :
( ( ( c_Expr_Oexp_OCall @ SV161 @ SV606 @ SV1045 @ SV1460 )
= ( c_Expr_Oexp_OFAss @ SV1838 @ SV2153 @ SV2366 @ SV2500 @ SV1460 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4607]) ).
thf(4810,plain,
! [SV176: $i,SV1474: $i,SV1060: $i,SV1850: $i,SV621: $i] :
( ( ( ~ ( c_Map_Omap__le @ SV621 @ SV1850 @ SV1060 @ SV1474 ) )
= $true )
| ( ( ~ ( c_Map_Omap__le @ SV176 @ SV1850 @ SV1060 @ SV1474 ) )
= $true )
| ( ( c_Map_Omap__le @ SV176 @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1060 @ SV1474 )
= $false )
| ( ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1850 @ SV1060 @ SV1474 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4611]) ).
thf(4811,plain,
! [SV1062: $i,SV1852: $i,SV623: $i,SV2370: $i,SV2161: $i,SV2568: $i,SV1476: $i,SV178: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV178 @ SV1476 @ SV2568 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
| ! [SY9700: $i] :
~ ( c_BigStep_Oeval @ SV178 @ SV623 @ SV1852 @ ( c_Expr_Oexp_OVal @ SY9700 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2568 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SV623 @ SV1062 @ SV1476 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1852 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4612]) ).
thf(4812,plain,
! [SV2501: $i,SV2371: $i,SV2163: $i,SV1854: $i,SV1479: $i,SV1065: $i,SV626: $i,SV181: $i] :
( ( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SV1065 @ SV1479 @ SV1854 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2163 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
= $true )
| ( ( ! [SY9686: $i] :
( ~ ( c_BigStep_Oeval @ SV181 @ SV1854 @ SY9686 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
| ! [SY9412: $i] :
~ ( c_BigStep_Oeval @ SV181 @ SV626 @ SV2163 @ ( c_Expr_Oexp_OVal @ SY9412 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9686 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4613]) ).
thf(4813,plain,
! [SV2502: $i,SV2372: $i,SV2165: $i,SV1857: $i,SV1482: $i,SV1069: $i,SV630: $i,SV185: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SV1482 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SV2165 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2372 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2502 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV1482 @ SV1857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2165 @ SV2372 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2502 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4614]) ).
thf(4814,plain,
! [SV632: $i,SV187: $i,SV2373: $i,SV2167: $i,SV1859: $i,SV1484: $i,SV1071: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV1071 @ SV1484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1859 @ SV2167 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2373 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SV1071 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1484 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV187 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV632 @ SV1859 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2167 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2373 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4615]) ).
thf(4815,plain,
! [SV1073: $i,SV634: $i,SV2374: $i,SV1486: $i,SV2168: $i,SV1861: $i,SV189: $i] :
( ( ( ~ ( c_Conform_Olconf @ SV189 @ SV1861 @ SV2168 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
= $true )
| ( ( ! [SY9614: $i] :
~ ( c_WellTypeRT_OWTrt @ SV189 @ SV1861 @ SV1486 @ SV2374 @ SY9614 )
| ! [SY9615: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV2374 @ ( c_Pair @ SV1861 @ SV2168 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9615 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SV1486 @ ( 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)],[4616]) ).
thf(4816,plain,
! [SV635: $i,SV2375: $i,SV2169: $i,SV1862: $i,SV1487: $i,SV1074: $i,SV190: $i] :
( ( ( ~ ( c_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV190 @ SV1074 @ SV1487 @ SV1862 @ SV2169 )
| ! [SY9616: $i,SY9617: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1862 @ ( c_Pair @ SV1074 @ SV2375 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9616 @ ( c_Pair @ SV635 @ SY9617 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Conform_Ohconf @ SV190 @ SV635 @ ( 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)],[4617]) ).
thf(4817,plain,
! [SV2503: $i,SV2376: $i,SV2172: $i,SV1865: $i,SV1491: $i,SV1079: $i,SV640: $i,SV195: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV195 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV2172 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2376 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2503 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV195 @ SV1865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2172 @ SV2376 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2503 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4620]) ).
thf(4818,plain,
! [SV1081: $i,SV642: $i,SV2377: $i,SV2173: $i,SV1867: $i,SV1493: $i,SV197: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV197 @ SV1493 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1867 @ SV2173 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2377 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV197 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1493 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV1867 @ SV642 @ SV1081 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2173 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2377 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4621]) ).
thf(4819,plain,
! [SV1085: $i,SV646: $i,SV2378: $i,SV2175: $i,SV1870: $i,SV1497: $i,SV201: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV201 @ SV1497 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1870 @ SV2175 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2378 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV201 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1497 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV1870 @ SV646 @ SV1085 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2175 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2378 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4623]) ).
thf(4820,plain,
! [SV2504: $i,SV2379: $i,SV2177: $i,SV1872: $i,SV1499: $i,SV1087: $i,SV648: $i,SV203: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV203 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV2177 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2379 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2504 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV203 @ SV1872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2177 @ SV2379 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2504 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4624]) ).
thf(4821,plain,
! [SV1088: $i,SV649: $i,SV2380: $i,SV2178: $i,SV1873: $i,SV1500: $i,SV204: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV204 @ SV1500 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1873 @ SV2178 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2380 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV204 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1500 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV1873 @ SV649 @ SV1088 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2178 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2380 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4625]) ).
thf(4822,plain,
! [SV2505: $i,SV2381: $i,SV2179: $i,SV1875: $i,SV1502: $i,SV1090: $i,SV651: $i,SV206: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ ( c_Map_Omap__add @ SV1090 @ SV1502 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1875 @ ( c_Pair @ SV2179 @ ( c_Map_Omap__add @ SV1090 @ SV2381 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2505 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ SV1502 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1875 @ ( c_Pair @ SV2179 @ SV2381 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2505 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4626]) ).
thf(4823,plain,
! [SV2506: $i,SV2382: $i,SV1877: $i,SV1504: $i,SV1092: $i,SV653: $i,SV208: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV1877 @ SV1092 @ SV2382 @ SV208 @ SV2506 @ SV1504 @ SV653 ) ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ ( c_Expr_Oexp_OFAcc @ SV1504 @ SV2382 @ SV1877 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2506 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ c_Type_Oty_ONT )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4627]) ).
thf(4824,plain,
! [SV2507: $i,SV2180: $i,SV1878: $i,SV1505: $i,SV1093: $i,SV654: $i,SV209: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1878 @ SV1093 @ SV2180 @ SV209 @ SV1505 @ SV654 @ SV2507 ) ) )
= $true )
| ( ( ! [SY9688: $i] :
~ ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ ( c_Expr_Oexp_OFAss @ SV1505 @ SV2180 @ SV1878 @ SV2507 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9688 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ c_Type_Oty_ONT )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4628]) ).
thf(4825,plain,
! [SV1094: $i,SV655: $i,SV2383: $i,SV2181: $i,SV1879: $i,SV1506: $i,SV210: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV210 @ SV1506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1879 @ SV2181 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2383 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV210 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1506 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV1879 @ SV655 @ SV1094 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2181 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2383 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4629]) ).
thf(4826,plain,
! [SV1099: $i,SV2184: $i,SV215: $i,SV2384: $i,SV1510: $i,SV1883: $i,SV660: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ SV660 @ SV1883 @ SV1510 @ SV1510 ) @ ( hAPP @ SV2384 @ SV215 ) @ ( tc_prod @ SV1510 @ SV1510 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV2184 @ SV215 ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ ( c_Pair @ SV215 @ SV660 @ SV1099 @ SV1510 ) @ ( c_Pair @ SV215 @ SV1883 @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) @ ( c_Recdef_Osame__fst @ SV2184 @ SV2384 @ SV1099 @ SV1510 ) @ ( tc_prod @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4632]) ).
thf(4827,plain,
! [SV1511: $i,SV661: $i,SV1100: $i,SV216: $i,SV2569: $i,SV2508: $i,SV2185: $i,SV1884: $i] :
( ( ( ( c_in @ ( c_Pair @ SV1884 @ SV2185 @ SV2508 @ SV2508 ) @ SV2569 @ ( tc_prod @ SV2508 @ SV2508 ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1884 @ SV216 @ SV2508 @ SV1100 ) @ ( c_Pair @ SV2185 @ SV661 @ SV2508 @ SV1100 ) @ ( tc_prod @ SV2508 @ SV1100 ) @ ( tc_prod @ SV2508 @ SV1100 ) ) @ ( c_Wellfounded_Olex__prod @ SV2569 @ SV1511 @ SV2508 @ SV1100 ) @ ( tc_prod @ ( tc_prod @ SV2508 @ SV1100 ) @ ( tc_prod @ SV2508 @ SV1100 ) ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV216 @ SV661 @ SV1100 @ SV1100 ) @ SV1511 @ ( tc_prod @ SV1100 @ SV1100 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4633]) ).
thf(4828,plain,
! [SV2570: $i,SV2385: $i,SV2186: $i,SV1885: $i,SV1512: $i,SV1101: $i,SV662: $i,SV217: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV217 @ SV662 @ SV1101 @ SV1512 ) @ ( c_Pair @ SV1885 @ SV2186 @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) @ ( c_Wellfounded_Olex__prod @ SV2385 @ SV2570 @ SV1101 @ SV1512 ) @ ( tc_prod @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Pair @ SV217 @ SV1885 @ SV1101 @ SV1101 ) @ SV2385 @ ( tc_prod @ SV1101 @ SV1101 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4634]) ).
thf(4829,plain,
! [SV2187: $i,SV1102: $i,SV218: $i,SV2386: $i,SV1513: $i,SV1886: $i,SV663: $i] :
( ( ( c_in @ ( c_Pair @ SV663 @ SV1886 @ SV1513 @ SV1513 ) @ SV2386 @ ( tc_prod @ SV1513 @ SV1513 ) )
= $false )
| ( ( c_in @ ( c_Pair @ ( c_Pair @ SV218 @ SV663 @ SV1102 @ SV1513 ) @ ( c_Pair @ SV218 @ SV1886 @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) ) @ ( c_Wellfounded_Olex__prod @ SV2187 @ SV2386 @ SV1102 @ SV1513 ) @ ( tc_prod @ ( tc_prod @ SV1102 @ SV1513 ) @ ( tc_prod @ SV1102 @ SV1513 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4635]) ).
thf(4830,plain,
! [SV1514: $i,SV2571: $i,SV664: $i,SV2188: $i,SV1103: $i,SV1887: $i,SV219: $i] :
( ( ( ! [SY9701: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV219 @ SV1887 @ SV1103 @ SV2188 ) @ ( c_Pair @ SV664 @ SV2571 @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) ) @ ( c_Wellfounded_Olex__prod @ SV1514 @ SY9701 @ SV1103 @ SV2188 ) @ ( tc_prod @ ( tc_prod @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV219 @ SV664 @ SV1103 @ SV1103 ) @ SV1514 @ ( tc_prod @ SV1103 @ SV1103 ) )
= $true )
| ( ( SV219 = SV664 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4636]) ).
thf(4831,plain,
! [SV2189: $i,SV1515: $i,SV2387: $i,SV1888: $i,SV1104: $i,SV665: $i,SV220: $i] :
( ( ( ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ SV1888 @ SV2387 @ SV665 @ SV1104 ) )
= $true )
| ( ( ~ ( c_in @ ( c_Pair @ SV1515 @ SV2189 @ SV665 @ SV1104 ) @ SV220 @ ( tc_prod @ SV665 @ SV1104 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ ( c_List_Olist_OCons @ SV1515 @ SV1888 @ SV665 ) @ ( c_List_Olist_OCons @ SV2189 @ SV2387 @ SV1104 ) @ SV665 @ SV1104 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4637]) ).
thf(4832,plain,
! [SV2190: $i,SV1516: $i,SV2388: $i,SV1889: $i,SV1105: $i,SV666: $i,SV221: $i] :
( ( ( ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ SV1889 @ SV2388 @ SV666 @ SV1105 ) )
= $true )
| ( ( ~ ( c_in @ ( c_Pair @ SV1516 @ SV2190 @ SV666 @ SV1105 ) @ SV221 @ ( tc_prod @ SV666 @ SV1105 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ ( c_List_Olist_OCons @ SV1516 @ SV1889 @ SV666 ) @ ( c_List_Olist_OCons @ SV2190 @ SV2388 @ SV1105 ) @ SV666 @ SV1105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4638]) ).
thf(4833,plain,
! [SV2191: $i,SV1517: $i,SV2389: $i,SV1890: $i,SV1106: $i,SV667: $i,SV222: $i] :
( ( ( ~ ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ SV1890 @ SV2389 @ SV667 @ SV1106 ) )
= $true )
| ( ( ~ ( c_in @ ( c_Pair @ SV1517 @ SV2191 @ SV667 @ SV1106 ) @ SV222 @ ( tc_prod @ SV667 @ SV1106 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ ( c_List_Olist_OCons @ SV1517 @ SV1890 @ SV667 ) @ ( c_List_Olist_OCons @ SV2191 @ SV2389 @ SV1106 ) @ SV667 @ SV1106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4639]) ).
thf(4834,plain,
! [SV2509: $i,SV668: $i,SV2390: $i,SV223: $i,SV1518: $i,SV1107: $i,SV1891: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV1891 @ SV1107 @ SV1518 ) @ ( c_List_Olist_OCons @ SV223 @ SV2390 @ SV1107 ) @ ( c_List_Olist_OCons @ SV668 @ SV2509 @ SV1518 ) @ SV1107 @ SV1518 )
= $false )
| ( ( c_in @ ( c_Pair @ SV223 @ SV668 @ SV1107 @ SV1518 ) @ SV1891 @ ( tc_prod @ SV1107 @ SV1518 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4640]) ).
thf(4835,plain,
! [SV2510: $i,SV2391: $i,SV2192: $i,SV1892: $i,SV1519: $i,SV1108: $i,SV669: $i,SV224: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SV1108 @ SV1519 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9690: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1519 @ SY9690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9691: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9691 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9690 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4641]) ).
thf(4836,plain,
! [SV670: $i,SV1520: $i,SV225: $i,SV2392: $i,SV2193: $i,SV1893: $i,SV2572: $i,SV1109: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1109 @ SV2572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9702: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9702 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SV670 @ SV1109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4642]) ).
thf(4837,plain,
! [SV1111: $i,SV672: $i,SV2393: $i,SV2194: $i,SV1895: $i,SV1522: $i,SV227: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV227 @ SV1522 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1895 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2194 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2393 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV227 @ SV672 @ SV1111 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1522 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1895 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2194 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2393 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4643]) ).
thf(4838,plain,
! [SV1113: $i,SV674: $i,SV2394: $i,SV2196: $i,SV1897: $i,SV1524: $i,SV229: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV229 @ SV1524 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1897 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2196 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2394 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV229 @ SV674 @ SV1113 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1524 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1897 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2196 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2394 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4645]) ).
thf(4839,plain,
! [SV2511: $i,SV2395: $i,SV2197: $i,SV1898: $i,SV1525: $i,SV1114: $i,SV675: $i,SV230: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV230 @ SV675 @ SV1114 @ SV1525 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2197 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2395 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2511 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV230 @ SV1898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2197 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2395 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2511 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4646]) ).
thf(4840,plain,
! [SV1116: $i,SV677: $i,SV2396: $i,SV2199: $i,SV1900: $i,SV1527: $i,SV232: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV232 @ SV1527 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2199 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2396 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV232 @ SV677 @ SV1116 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1527 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2199 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2396 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4648]) ).
thf(4841,plain,
! [SV2512: $i,SV2397: $i,SV2200: $i,SV1901: $i,SV1528: $i,SV1117: $i,SV678: $i,SV233: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ ( c_Map_Omap__add @ SV1117 @ SV1528 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1901 @ ( c_Pair @ SV2200 @ ( c_Map_Omap__add @ SV1117 @ SV2397 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2512 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ SV1528 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1901 @ ( c_Pair @ SV2200 @ SV2397 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2512 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4649]) ).
thf(4842,plain,
! [SV1121: $i,SV682: $i,SV2398: $i,SV2203: $i,SV1905: $i,SV1532: $i,SV237: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV237 @ SV1532 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1905 @ SV2203 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2398 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV237 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1532 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCall @ SV1905 @ SV682 @ SV1121 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2203 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2398 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4652]) ).
thf(4843,plain,
! [SV686: $i,SV1533: $i,SV1125: $i,SV2204: $i,SV241: $i] :
( ( ( c_in @ ( c_Pair @ SV241 @ SV2204 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
= $false )
| ( ( c_in @ ( c_Pair @ SV2204 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
= $false )
| ( ( c_in @ ( c_Pair @ SV241 @ SV686 @ SV1125 @ SV1125 ) @ ( c_Transitive__Closure_Ortrancl @ SV1533 @ SV1125 ) @ ( tc_prod @ SV1125 @ SV1125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4653]) ).
thf(4844,plain,
! [SV687: $i,SV1534: $i,SV1126: $i,SV2205: $i,SV242: $i] :
( ( ( c_in @ ( c_Pair @ SV242 @ SV2205 @ SV1126 @ SV1126 ) @ SV1534 @ ( tc_prod @ SV1126 @ SV1126 ) )
= $false )
| ( ( c_in @ ( c_Pair @ SV2205 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SV1534 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
= $false )
| ( ( c_in @ ( c_Pair @ SV242 @ SV687 @ SV1126 @ SV1126 ) @ ( c_Transitive__Closure_Ortrancl @ SV1534 @ SV1126 ) @ ( tc_prod @ SV1126 @ SV1126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4654]) ).
thf(4845,plain,
! [SV688: $i,SV1535: $i,SV1127: $i,SV2206: $i,SV243: $i] :
( ( ( c_in @ ( c_Pair @ SV243 @ SV2206 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SV1535 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) )
= $false )
| ( ( c_in @ ( c_Pair @ SV2206 @ SV688 @ SV1127 @ SV1127 ) @ SV1535 @ ( tc_prod @ SV1127 @ SV1127 ) )
= $false )
| ( ( c_in @ ( c_Pair @ SV243 @ SV688 @ SV1127 @ SV1127 ) @ ( c_Transitive__Closure_Ortrancl @ SV1535 @ SV1127 ) @ ( tc_prod @ SV1127 @ SV1127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4655]) ).
thf(4846,plain,
! [SV1130: $i,SV247: $i,SV2207: $i,SV1908: $i,SV1538: $i,SV2513: $i,SV692: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV692 @ SV2513 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9692: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV247 @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2513 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV247 @ SV692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4656]) ).
thf(4847,plain,
! [SV2514: $i,SV2399: $i,SV2208: $i,SV1909: $i,SV1539: $i,SV1131: $i,SV693: $i,SV248: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV248 @ SV693 @ SV1131 @ SV1539 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2208 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2399 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2514 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV248 @ SV1909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2208 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2399 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2514 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4657]) ).
thf(4848,plain,
! [SV1132: $i,SV1910: $i,SV694: $i,SV1540: $i,SV249: $i] :
( ( ( ! [SY9066: $i] :
~ ( c_WellTypeRT_OWTrt @ SV249 @ ( c_State_Ohp @ SV1540 ) @ SV694 @ SV1910 @ SY9066 ) )
= $true )
| ( ( ! [SY9067: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1910 @ SV1540 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9067 @ SV1132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1540 )
= $false )
| ( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1132 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4658]) ).
thf(4849,plain,
! [SV2515: $i,SV2401: $i,SV1914: $i,SV1545: $i,SV1137: $i,SV699: $i,SV254: $i] :
( ( ( ( c_Expr_Oexp_OBinOp @ SV254 @ SV699 @ SV1137 @ SV1545 )
= ( c_Expr_Oexp_OBinOp @ SV1914 @ SV2401 @ SV2515 @ SV1545 ) )
= $false )
| ( ( SV254 = SV1914 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4660]) ).
thf(4850,plain,
! [SV2516: $i,SV2212: $i,SV1915: $i,SV1546: $i,SV1138: $i,SV700: $i,SV255: $i] :
( ( ( ( c_Expr_Oexp_OBinOp @ SV255 @ SV700 @ SV1138 @ SV1546 )
= ( c_Expr_Oexp_OBinOp @ SV1915 @ SV2212 @ SV2516 @ SV1546 ) )
= $false )
| ( ( SV700 = SV2212 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4661]) ).
thf(4851,plain,
! [SV2402: $i,SV2213: $i,SV1916: $i,SV1547: $i,SV1139: $i,SV701: $i,SV256: $i] :
( ( ( ( c_Expr_Oexp_OBinOp @ SV256 @ SV701 @ SV1139 @ SV1547 )
= ( c_Expr_Oexp_OBinOp @ SV1916 @ SV2213 @ SV2402 @ SV1547 ) )
= $false )
| ( ( SV1139 = SV2402 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4662]) ).
thf(4852,plain,
! [SV1141: $i,SV703: $i,SV2403: $i,SV2215: $i,SV1918: $i,SV1549: $i,SV258: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV258 @ SV1549 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1918 @ SV2215 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2403 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV258 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1549 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV1918 @ SV703 @ SV1141 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2215 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2403 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4663]) ).
thf(4853,plain,
! [SV2517: $i,SV2404: $i,SV2216: $i,SV1919: $i,SV1550: $i,SV1142: $i,SV704: $i,SV259: $i] :
( ( ( c_SmallStep_Oredp @ SV259 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SV1919 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2216 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SV2404 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2517 )
= $true )
| ( ( ~ ( c_SmallStep_Oredp @ SV259 @ SV1919 @ SV2216 @ SV2404 @ SV2517 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4664]) ).
thf(4854,plain,
! [SV1554: $i,SV2518: $i,SV1922: $i,SV1146: $i,SV708: $i,SV263: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1922 @ SV2518 )
= $false )
| ( ( ! [SY8391: $i] :
~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1554 @ SY8391 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ ( c_Expr_Oexp_OBinOp @ SV1554 @ c_Expr_Obop_OEq @ SV1922 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4665]) ).
thf(4855,plain,
! [SV2519: $i,SV2407: $i,SV2220: $i,SV1925: $i,SV1557: $i,SV1149: $i,SV711: $i,SV267: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV267 @ SV711 @ SV1149 @ SV1557 )
= ( c_Expr_Oexp_OFAss @ SV1925 @ SV2220 @ SV2407 @ SV2519 @ SV1557 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4668]) ).
thf(4856,plain,
! [SV2520: $i,SV2408: $i,SV2222: $i,SV1928: $i,SV1561: $i,SV1153: $i,SV715: $i,SV272: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV272 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1928 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV2222 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2408 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2520 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV272 @ SV1928 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2222 @ SV2408 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2520 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4669]) ).
thf(4857,plain,
! [SV716: $i,SV273: $i,SV2409: $i,SV2223: $i,SV1929: $i,SV1562: $i,SV1154: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV1154 @ SV1562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1929 @ SV2223 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2409 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SV1154 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1562 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV273 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV716 @ SV1929 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2223 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2409 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4670]) ).
thf(4858,plain,
! [SV1564: $i,SV1156: $i,SV2411: $i,SV2225: $i,SV1931: $i,SV718: $i,SV275: $i] :
( ( ( c_SmallStep_Oredp @ SV275 @ SV718 @ SV1931 @ SV2225 @ SV2411 )
= $false )
| ( ( c_SmallStep_Oredp @ SV275 @ ( c_Expr_Oexp_OBinOp @ SV718 @ SV1156 @ SV1564 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1931 @ ( c_Expr_Oexp_OBinOp @ SV2225 @ SV1156 @ SV1564 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2411 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4672]) ).
thf(4859,plain,
! [SV2521: $i,SV2412: $i,SV2227: $i,SV1933: $i,SV1566: $i,SV1158: $i,SV720: $i,SV277: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV277 @ SV720 @ SV1158 @ SV1566 @ SV1933 )
= ( c_Expr_Oexp_OFAcc @ SV2227 @ SV2412 @ SV2521 @ SV1933 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4673]) ).
thf(4860,plain,
! [SV2522: $i,SV2413: $i,SV2229: $i,SV1935: $i,SV1568: $i,SV1161: $i,SV723: $i,SV280: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV280 @ SV723 @ SV1161 @ SV1568 @ SV1935 )
= ( c_Expr_Oexp_OBinOp @ SV2229 @ SV2413 @ SV2522 @ SV1935 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4674]) ).
thf(4861,plain,
! [SV2523: $i,SV2415: $i,SV2232: $i,SV1938: $i,SV1571: $i,SV1165: $i,SV727: $i,SV284: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV284 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1938 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV2232 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2415 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2523 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV284 @ SV1938 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2232 @ SV2415 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2523 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4676]) ).
thf(4862,plain,
! [SV1166: $i,SV728: $i,SV2416: $i,SV2233: $i,SV1939: $i,SV1572: $i,SV285: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV285 @ SV1572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1939 @ SV2233 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2416 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV285 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAcc @ SV1939 @ SV728 @ SV1166 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2233 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2416 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4677]) ).
thf(4863,plain,
! [SV2524: $i,SV2417: $i,SV2234: $i,SV1940: $i,SV1573: $i,SV1167: $i,SV729: $i,SV286: $i] :
( ( ( c_Expr_Oexp_OFAcc @ SV286 @ SV729 @ SV1167 @ SV1573 )
= ( c_Expr_Oexp_OTryCatch @ SV1940 @ SV2234 @ SV2417 @ SV2524 @ SV1573 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4678]) ).
thf(4864,plain,
! [SV2573: $i,SV2418: $i,SV2236: $i,SV1942: $i,SV1575: $i,SV1169: $i,SV731: $i,SV288: $i] :
( ( ( ! [SY9703: $i] :
( ( c_Expr_Oexp_OFAss @ SV288 @ SV731 @ SV1169 @ SV1575 @ SV1942 )
!= ( c_Expr_Oexp_OFAss @ SV2236 @ SV2418 @ SV2573 @ SY9703 @ SV1942 ) ) )
= $true )
| ( ( SV288 = SV2236 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4680]) ).
thf(4865,plain,
! [SV2574: $i,SV2419: $i,SV2237: $i,SV1943: $i,SV1576: $i,SV1170: $i,SV732: $i,SV289: $i] :
( ( ( ! [SY9704: $i] :
( ( c_Expr_Oexp_OFAss @ SV289 @ SV732 @ SV1170 @ SV1576 @ SV1943 )
!= ( c_Expr_Oexp_OFAss @ SV2237 @ SV2419 @ SV2574 @ SY9704 @ SV1943 ) ) )
= $true )
| ( ( SV732 = SV2419 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4681]) ).
thf(4866,plain,
! [SV2525: $i,SV2420: $i,SV2238: $i,SV1944: $i,SV1577: $i,SV1171: $i,SV733: $i,SV290: $i] :
( ( ( ! [SY9693: $i] :
( ( c_Expr_Oexp_OFAss @ SV290 @ SV733 @ SV1171 @ SV1577 @ SV1944 )
!= ( c_Expr_Oexp_OFAss @ SV2238 @ SV2420 @ SV2525 @ SY9693 @ SV1944 ) ) )
= $true )
| ( ( SV1171 = SV2525 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4682]) ).
thf(4867,plain,
! [SV2575: $i,SV2526: $i,SV2421: $i,SV2239: $i,SV1945: $i,SV1578: $i,SV1172: $i,SV734: $i,SV291: $i] :
( ( ( ( c_Expr_Oexp_OFAss @ SV291 @ SV734 @ SV1172 @ SV1578 @ SV1945 )
!= ( c_Expr_Oexp_OFAss @ SV2239 @ SV2421 @ SV2526 @ SV2575 @ SV1945 ) )
| ( SV1578 = SV2575 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4683]) ).
thf(4868,plain,
! [SV2527: $i,SV2422: $i,SV1946: $i,SV1579: $i,SV1173: $i,SV735: $i,SV292: $i] :
( ( ( ( c_Expr_Oexp_OFAcc @ SV292 @ SV735 @ SV1173 @ SV1579 )
= ( c_Expr_Oexp_OFAcc @ SV1946 @ SV2422 @ SV2527 @ SV1579 ) )
= $false )
| ( ( SV292 = SV1946 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4684]) ).
thf(4869,plain,
! [SV2528: $i,SV2240: $i,SV1947: $i,SV1580: $i,SV1174: $i,SV736: $i,SV293: $i] :
( ( ( ( c_Expr_Oexp_OFAcc @ SV293 @ SV736 @ SV1174 @ SV1580 )
= ( c_Expr_Oexp_OFAcc @ SV1947 @ SV2240 @ SV2528 @ SV1580 ) )
= $false )
| ( ( SV736 = SV2240 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4685]) ).
thf(4870,plain,
! [SV2423: $i,SV2241: $i,SV1948: $i,SV1581: $i,SV1175: $i,SV737: $i,SV294: $i] :
( ( ( ( c_Expr_Oexp_OFAcc @ SV294 @ SV737 @ SV1175 @ SV1581 )
= ( c_Expr_Oexp_OFAcc @ SV1948 @ SV2241 @ SV2423 @ SV1581 ) )
= $false )
| ( ( SV1175 = SV2423 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4686]) ).
thf(4871,plain,
! [SV1949: $i,SV738: $i,SV2424: $i,SV1582: $i,SV2242: $i,SV1176: $i,SV295: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV295 @ SV1176 @ SV2242 @ SV1582 @ SV2424 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV295 @ SV738 ) @ SV1949 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV295 @ ( c_List_Olist_OCons @ SV738 @ SV1176 @ SV1582 ) @ ( c_List_Olist_OCons @ SV1949 @ SV2242 @ SV2424 ) @ SV1582 @ SV2424 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4687]) ).
thf(4872,plain,
! [SV1950: $i,SV739: $i,SV2425: $i,SV1583: $i,SV2243: $i,SV1177: $i,SV296: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV296 @ SV1177 @ SV2243 @ SV1583 @ SV2425 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV296 @ SV739 ) @ SV1950 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV296 @ ( c_List_Olist_OCons @ SV739 @ SV1177 @ SV1583 ) @ ( c_List_Olist_OCons @ SV1950 @ SV2243 @ SV2425 ) @ SV1583 @ SV2425 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4688]) ).
thf(4873,plain,
! [SV1951: $i,SV740: $i,SV2426: $i,SV1584: $i,SV2244: $i,SV1178: $i,SV297: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV297 @ SV1178 @ SV2244 @ SV1584 @ SV2426 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV297 @ SV740 ) @ SV1951 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV297 @ ( c_List_Olist_OCons @ SV740 @ SV1178 @ SV1584 ) @ ( c_List_Olist_OCons @ SV1951 @ SV2244 @ SV2426 ) @ SV1584 @ SV2426 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4689]) ).
thf(4874,plain,
! [SV2529: $i,SV2427: $i,SV2247: $i,SV1954: $i,SV1587: $i,SV1181: $i,SV744: $i,SV301: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV301 @ SV744 @ SV1181 @ SV1587 )
= ( c_Expr_Oexp_OFAss @ SV1954 @ SV2247 @ SV2427 @ SV2529 @ SV1587 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4690]) ).
thf(4875,plain,
! [SV2576: $i,SV2530: $i,SV2428: $i,SV2249: $i,SV1957: $i,SV1590: $i,SV1184: $i,SV747: $i,SV304: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV304 @ SV747 @ SV1184 @ SV1590 @ SV1957 )
!= ( c_Expr_Oexp_OTryCatch @ SV2249 @ SV2428 @ SV2530 @ SV2576 @ SV1957 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4691]) ).
thf(4876,plain,
! [SV2531: $i,SV2430: $i,SV2251: $i,SV1959: $i,SV1592: $i,SV1186: $i,SV749: $i,SV306: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SV1592 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1959 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SV2251 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2430 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2531 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV1592 @ SV1959 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2251 @ SV2430 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2531 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4693]) ).
thf(4877,plain,
! [SV1593: $i,SV1187: $i,SV2431: $i,SV2252: $i,SV1960: $i,SV750: $i,SV307: $i] :
( ( ( c_SmallStep_Oredp @ SV307 @ SV750 @ SV1960 @ SV2252 @ SV2431 )
= $false )
| ( ( c_SmallStep_Oredp @ SV307 @ ( c_Expr_Oexp_OCond @ SV750 @ SV1187 @ SV1593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1960 @ ( c_Expr_Oexp_OCond @ SV2252 @ SV1187 @ SV1593 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2431 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4694]) ).
thf(4878,plain,
! [SV1962: $i,SV1189: $i,SV2532: $i,SV1595: $i,SV752: $i,SV2433: $i,SV309: $i] :
( ( ( c_List_Olist__all2 @ SV309 @ ( c_List_Olist_OCons @ SV2433 @ SV752 @ SV1595 ) @ ( c_List_Olist_OCons @ SV2532 @ SV1189 @ SV1962 ) @ SV1595 @ SV1962 )
= $false )
| ( ( c_List_Olist__all2 @ SV309 @ SV752 @ SV1189 @ SV1595 @ SV1962 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4696]) ).
thf(4879,plain,
! [SV2533: $i,SV2435: $i,SV754: $i,SV1964: $i,SV1597: $i,SV311: $i,SV1191: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV1191 @ ( c_Pair @ SV311 @ SV1597 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1964 @ ( c_Pair @ SV754 @ SV2435 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2533 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Objects_Ohext @ SV311 @ SV754 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4698]) ).
thf(4880,plain,
! [SV2577: $i,SV2534: $i,SV2436: $i,SV2255: $i,SV1965: $i,SV1598: $i,SV1192: $i,SV755: $i,SV312: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV312 @ SV755 @ SV1192 @ SV1598 @ SV1965 )
!= ( c_Expr_Oexp_OFAss @ SV2255 @ SV2436 @ SV2534 @ SV2577 @ SV1965 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4699]) ).
thf(4881,plain,
! [SV2535: $i,SV2437: $i,SV2256: $i,SV1967: $i,SV1600: $i,SV1194: $i,SV757: $i,SV314: $i] :
( ( ( c_Expr_Oexp_OCond @ SV314 @ SV757 @ SV1194 @ SV1600 )
= ( c_Expr_Oexp_OFAss @ SV1967 @ SV2256 @ SV2437 @ SV2535 @ SV1600 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4700]) ).
thf(4882,plain,
! [SV2536: $i,SV2438: $i,SV2257: $i,SV1968: $i,SV1601: $i,SV1195: $i,SV758: $i,SV315: $i] :
( ( ( c_SmallStep_Oredp @ SV315 @ ( c_Expr_Oexp_OFAss @ SV758 @ SV1195 @ SV1601 @ SV1968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2257 @ ( c_Expr_Oexp_OFAss @ SV2438 @ SV1195 @ SV1601 @ SV1968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2536 )
= $true )
| ( ( ~ ( c_SmallStep_Oredp @ SV315 @ SV758 @ SV2257 @ SV2438 @ SV2536 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4701]) ).
thf(4883,plain,
! [SV1602: $i,SV1196: $i,SV2439: $i,SV2258: $i,SV1969: $i,SV759: $i,SV316: $i] :
( ( ( c_SmallStep_Oredp @ SV316 @ SV759 @ SV1969 @ SV2258 @ SV2439 )
= $false )
| ( ( c_SmallStep_Oredp @ SV316 @ ( c_Expr_Oexp_OFAcc @ SV759 @ SV1196 @ SV1602 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1969 @ ( c_Expr_Oexp_OFAcc @ SV2258 @ SV1196 @ SV1602 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2439 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4702]) ).
thf(4884,plain,
! [SV1603: $i,SV2537: $i,SV1970: $i,SV1197: $i,SV760: $i,SV317: $i] :
( ( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1970 @ SV2537 )
= $false )
| ( ( ! [SY8541: $i] :
~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1603 @ SY8541 ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ ( c_Expr_Oexp_OBinOp @ SV1603 @ c_Expr_Obop_OEq @ SV1970 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4703]) ).
thf(4885,plain,
! [SV2538: $i,SV2440: $i,SV2260: $i,SV1972: $i,SV1605: $i,SV1199: $i,SV762: $i,SV320: $i] :
( ( ( c_SmallStep_Oredp @ SV320 @ ( c_Expr_Oexp_OTryCatch @ SV762 @ SV1199 @ SV1605 @ SV1972 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2260 @ ( c_Expr_Oexp_OTryCatch @ SV2440 @ SV1199 @ SV1605 @ SV1972 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2538 )
= $true )
| ( ( ~ ( c_SmallStep_Oredp @ SV320 @ SV762 @ SV2260 @ SV2440 @ SV2538 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4704]) ).
thf(4886,plain,
! [SV2539: $i,SV2441: $i,SV2261: $i,SV1973: $i,SV1606: $i,SV1200: $i,SV763: $i,SV321: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV321 @ SV763 @ SV1200 @ SV1606 @ SV1973 )
= ( c_Expr_Oexp_OFAcc @ SV2261 @ SV2441 @ SV2539 @ SV1973 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4705]) ).
thf(4887,plain,
! [SV2540: $i,SV2443: $i,SV1207: $i,SV1979: $i,SV1615: $i,SV772: $i,SV331: $i] :
( ( ( c_List_Olist__all2 @ SV331 @ ( c_List_Olist_OCons @ SV772 @ SV1615 @ SV1979 ) @ ( c_List_Olist_OCons @ SV1207 @ SV2443 @ SV2540 ) @ SV1979 @ SV2540 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ SV331 @ SV772 ) @ SV1207 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4708]) ).
thf(4888,plain,
! [SV1208: $i,SV773: $i,SV2444: $i,SV2266: $i,SV1980: $i,SV1616: $i,SV332: $i] :
( ( ( c_SmallStep_Oredp @ SV332 @ SV1616 @ SV1980 @ SV2266 @ SV2444 )
= $false )
| ( ( c_SmallStep_Oredp @ SV332 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SV1616 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1980 @ ( c_Expr_Oexp_OBinOp @ ( c_Expr_Oexp_OVal @ SV773 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1208 @ SV2266 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2444 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4709]) ).
thf(4889,plain,
! [SV1211: $i,SV776: $i,SV2446: $i,SV2269: $i,SV1983: $i,SV1618: $i,SV335: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV335 @ SV1618 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1983 @ SV2269 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2446 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV335 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1618 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV1983 @ SV776 @ SV1211 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2269 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2446 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4711]) ).
thf(4890,plain,
! [SV2541: $i,SV2447: $i,SV2270: $i,SV1984: $i,SV1619: $i,SV1212: $i,SV777: $i,SV336: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV336 @ SV777 @ SV1212 @ SV1619 @ SV1984 )
= ( c_Expr_Oexp_OCond @ SV2270 @ SV2447 @ SV2541 @ SV1984 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4712]) ).
thf(4891,plain,
! [SV2542: $i,SV2448: $i,SV2272: $i,SV1986: $i,SV1622: $i,SV1215: $i,SV780: $i,SV339: $i] :
( ( ( c_Expr_Oexp_OBinOp @ SV339 @ SV780 @ SV1215 @ SV1622 )
= ( c_Expr_Oexp_OTryCatch @ SV1986 @ SV2272 @ SV2448 @ SV2542 @ SV1622 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4713]) ).
thf(4892,plain,
! [SV2543: $i,SV2450: $i,SV2275: $i,SV1990: $i,SV1626: $i,SV1221: $i,SV786: $i,SV345: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV345 @ SV786 @ SV1221 @ SV1626 @ SV1990 )
= ( c_Expr_Oexp_OBinOp @ SV2275 @ SV2450 @ SV2543 @ SV1990 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4715]) ).
thf(4893,plain,
! [SV1628: $i,SV788: $i,SV1992: $i,SV2452: $i,SV1223: $i,SV347: $i] :
( ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV347 @ SV1223 ) @ SV2452 @ SV1992 @ tc_Type_Oty @ tc_Type_Oty )
= $false )
| ( ( ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SV2452 @ tc_Value_Oval @ tc_Type_Oty ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SV1992 @ tc_Value_Oval @ tc_Type_Oty )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4717]) ).
thf(4894,plain,
! [SV2544: $i,SV2453: $i,SV2278: $i,SV1995: $i,SV1633: $i,SV1229: $i,SV794: $i,SV353: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ SV1633 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV1995 @ SV1229 @ SV353 @ SV2278 @ SV2453 @ SV1633 @ SV2544 @ SV794 ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ ( c_Expr_Oexp_OTryCatch @ SV1633 @ SV1995 @ SV2453 @ SV2544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2278 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4718]) ).
thf(4895,plain,
! [SV2545: $i,SV795: $i,SV2454: $i,SV1996: $i,SV354: $i,SV1634: $i,SV1230: $i] :
( ( ( c_BigStep_Oevals @ SV1230 @ SV1634 @ ( c_Pair @ SV354 @ SV1996 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SV2454 @ ( c_Pair @ SV795 @ SV2545 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Objects_Ohext @ SV354 @ SV795 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4719]) ).
thf(4896,plain,
! [SV356: $i,SV1998: $i,SV1635: $i,SV2578: $i,SV797: $i,SV1232: $i] :
( ( ( ~ ( c_WellType_OWT @ SV1232 @ SV797 @ ( c_Expr_Oexp_OCond @ SV2578 @ SV1635 @ SV1998 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV356 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1232 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) ) )
= $false )
| ( ( SV356
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4720]) ).
thf(4897,plain,
! [SV2280: $i,SV1999: $i,SV1636: $i,SV798: $i,SV1233: $i,SV357: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
= $false )
| ( ( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2280 @ SV1233 )
| ! [SY9543: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9543 @ SV798 )
| ! [SY9544: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9544 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SY9544 @ SY9543 @ SV2280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4721]) ).
thf(4898,plain,
! [SV799: $i,SV1234: $i,SV2281: $i,SV2000: $i,SV1637: $i,SV358: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2281 @ SV1234 ) )
= $true )
| ( ( ! [SY9545: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9545 @ SV799 )
| ! [SY9546: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9546 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SY9546 @ SY9545 @ SV2281 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4722]) ).
thf(4899,plain,
! [SV800: $i,SV2001: $i,SV1638: $i,SV1235: $i,SV2455: $i,SV359: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV2455 @ SV1235 ) @ SV1638 ) @ SV2001 ) )
= $false )
| ( ( ~ ( c_Objects_Ohext @ SV2455 @ SV800 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV800 @ SV1235 ) @ SV1638 ) @ SV2001 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4723]) ).
thf(4900,plain,
! [SV2002: $i,SV1639: $i,SV1236: $i,SV361: $i,SV801: $i,SV2456: $i] :
( ( ( c_Objects_Ohext @ SV2456 @ SV801 )
= $false )
| ( ( ~ ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV2456 @ SV1236 ) @ SV1639 @ SV2002 @ tc_Value_Oval @ tc_Type_Oty ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV801 @ SV1236 ) @ SV1639 @ SV2002 @ tc_Value_Oval @ tc_Type_Oty )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4724]) ).
thf(4901,plain,
! [SV2546: $i,SV2458: $i,SV2284: $i,SV2004: $i,SV1643: $i,SV1240: $i,SV806: $i,SV366: $i] :
( ( ( c_Expr_Oexp_OCond @ SV366 @ SV806 @ SV1240 @ SV1643 )
= ( c_Expr_Oexp_OTryCatch @ SV2004 @ SV2284 @ SV2458 @ SV2546 @ SV1643 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4726]) ).
thf(4902,plain,
! [SV2547: $i,SV2459: $i,SV2006: $i,SV810: $i,SV1646: $i,SV1242: $i,SV370: $i] :
( ( ( c_WellType_OWT @ SV370 @ SV1242 @ ( c_Expr_Oexp_OTryCatch @ SV1646 @ SV810 @ SV2006 @ SV2459 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2547 )
= $false )
| ( ( c_Decl_Ois__class @ SV370 @ SV810 @ ( 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)],[4727]) ).
thf(4903,plain,
! [SV2007: $i,SV1647: $i,SV2285: $i,SV2548: $i,SV1243: $i,SV811: $i,SV371: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ ( c_Expr_Oexp_OCond @ SV2548 @ SV2285 @ SV1647 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2007 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV371 @ SV811 @ SV1243 @ SV1647 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV1243 @ SV371 @ SV2007 @ SV2285 @ SV1647 @ SV811 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4728]) ).
thf(4904,plain,
! [SV2008: $i,SV2286: $i,SV1648: $i,SV2549: $i,SV1244: $i,SV812: $i,SV372: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ ( c_Expr_Oexp_OCond @ SV2549 @ SV1648 @ SV2286 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2008 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV372 @ SV812 @ SV1244 @ SV1648 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV1244 @ SV372 @ SV2008 @ SV1648 @ SV2286 @ SV812 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4729]) ).
thf(4905,plain,
! [SV1245: $i,SV1649: $i,SV813: $i,SV2460: $i,SV2287: $i,SV373: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV373 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2287 ) @ SV2460 ) )
= $false )
| ( ( ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1649 @ SV2460 )
| ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1245 @ SV2287 ) )
= $true )
| ( ( c_WellType_OWT @ SV373 @ SV813 @ ( c_Expr_Oexp_OBinOp @ SV1245 @ c_Expr_Obop_OEq @ SV1649 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4730]) ).
thf(4906,plain,
! [SV1246: $i,SV1650: $i,SV814: $i,SV2461: $i,SV2288: $i,SV374: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV374 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2288 ) @ SV2461 ) )
= $false )
| ( ( ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1650 @ SV2288 )
| ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1246 @ SV2461 ) )
= $true )
| ( ( c_WellType_OWT @ SV374 @ SV814 @ ( c_Expr_Oexp_OBinOp @ SV1246 @ c_Expr_Obop_OEq @ SV1650 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4731]) ).
thf(4907,plain,
! [SV2290: $i,SV2011: $i,SV1653: $i,SV377: $i,SV817: $i,SV1249: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1249 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) ) )
= $false )
| ( ( ! [SY9554: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1249 @ SV2290 @ SV817 @ ( c_Expr_Oexp_OCond @ SY9554 @ SV1653 @ SV2011 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV377 ) )
= $true )
| ( ( SV377
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4732]) ).
thf(4908,plain,
! [SV1654: $i,SV818: $i,SV2579: $i,SV1250: $i,SV378: $i] :
( ( ( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SV2579 @ SV818 )
| ! [SY9705: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY9705 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV378 @ SV1250 @ ( c_Expr_Oexp_OCond @ SY9705 @ SV2579 @ SV1654 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 ) ) )
= $true )
| ( ( c_WellType_OWT @ SV378 @ SV1250 @ SV1654 @ SV818 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4733]) ).
thf(4909,plain,
! [SV820: $i,SV1655: $i,SV1252: $i,SV2291: $i,SV380: $i] :
( ( ( c_Map_Omap__le @ SV380 @ SV2291 @ SV1252 @ SV1655 )
= $false )
| ( ( c_Map_Omap__le @ SV2291 @ SV820 @ SV1252 @ SV1655 )
= $false )
| ( ( c_Map_Omap__le @ SV380 @ SV820 @ SV1252 @ SV1655 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4734]) ).
thf(4910,plain,
! [SV821: $i,SV1656: $i,SV1253: $i,SV2292: $i,SV381: $i] :
( ( ( c_WellType_OWT @ SV381 @ SV2292 @ SV1253 @ SV1656 )
= $false )
| ( ( c_Map_Omap__le @ SV2292 @ SV821 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
= $false )
| ( ( c_WellType_OWT @ SV381 @ SV821 @ SV1253 @ SV1656 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4735]) ).
thf(4911,plain,
! [SV2550: $i,SV822: $i,SV2462: $i,SV2012: $i,SV382: $i,SV1657: $i,SV1254: $i] :
( ( ( c_BigStep_Oeval @ SV1254 @ SV1657 @ ( c_Pair @ SV382 @ SV2012 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ SV2462 @ ( c_Pair @ SV822 @ SV2550 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Objects_Ohext @ SV382 @ SV822 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4736]) ).
thf(4912,plain,
! [SV823: $i,SV2013: $i,SV1658: $i,SV1255: $i,SV383: $i] :
( ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2013 @ SV823 )
= $false )
| ( ( ! [SY9256: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9256 @ SV823 )
| ! [SY9257: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9257 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ ( c_Expr_Oexp_OCond @ SY9257 @ SY9256 @ SV2013 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4737]) ).
thf(4913,plain,
! [SV1659: $i,SV2551: $i,SV2463: $i,SV2014: $i,SV1256: $i,SV824: $i,SV384: $i] :
( ( ( c_WellType_OWT @ SV384 @ SV824 @ ( c_Expr_Oexp_OTryCatch @ SV1256 @ SV2014 @ SV2463 @ SV2551 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1659 )
= $false )
| ( ( c_WellType_OWT @ SV384 @ SV824 @ SV1256 @ SV1659 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4738]) ).
thf(4914,plain,
! [SV2552: $i,SV2464: $i,SV2015: $i,SV1660: $i,SV1257: $i,SV825: $i,SV385: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ SV1660 @ c_Type_Oty_ONT )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV385 @ SV825 @ SV1257 @ ( c_Expr_Oexp_OFAcc @ SV1660 @ SV2015 @ SV2464 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2552 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4739]) ).
thf(4915,plain,
! [SV1258: $i,SV2016: $i,SV1661: $i,SV2580: $i,SV826: $i,SV2293: $i,SV386: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV386 @ SV2293 @ SV826 @ ( c_Expr_Oexp_OCond @ SV2580 @ SV1661 @ SV2016 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1258 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4740]) ).
thf(4916,plain,
! [SV2553: $i,SV2465: $i,SV2017: $i,SV1662: $i,SV1259: $i,SV827: $i,SV387: $i] :
( ( ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ SV1662 @ c_Type_Oty_ONT )
= $false )
| ( ( c_Progress_OWTrt_H @ SV387 @ SV827 @ SV1259 @ ( c_Expr_Oexp_OFAcc @ SV1662 @ SV2017 @ SV2465 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2553 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4741]) ).
thf(4917,plain,
! [SV2020: $i,SV1264: $i,SV2296: $i,SV1667: $i,SV832: $i,SV392: $i] :
( ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1667 @ SV2296 @ tc_Type_Oty @ tc_Type_Oty )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1264 ) @ SV2020 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ ( c_List_Olist_OCons @ SV1264 @ SV1667 @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ SV2020 @ SV2296 @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4743]) ).
thf(4918,plain,
! [SV2554: $i,SV2467: $i,SV2298: $i,SV2024: $i,SV1671: $i,SV1266: $i,SV836: $i,SV396: $i] :
( ( ( c_BigStep_Oeval @ SV396 @ ( c_Expr_Oexp_OTryCatch @ SV836 @ SV1266 @ SV1671 @ SV2024 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2298 @ ( c_Expr_Oexp_OVal @ SV2467 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2554 )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV396 @ SV836 @ SV2298 @ ( c_Expr_Oexp_OVal @ SV2467 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2554 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4745]) ).
thf(4919,plain,
! [SV2555: $i,SV2468: $i,SV2299: $i,SV2025: $i,SV1672: $i,SV1267: $i,SV837: $i,SV397: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV397 @ SV837 @ SV1267 @ SV1672 @ SV2025 )
= ( c_Expr_Oexp_OCond @ SV2299 @ SV2468 @ SV2555 @ SV2025 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4746]) ).
thf(4920,plain,
! [SV838: $i,SV1268: $i,SV2026: $i,SV1673: $i,SV398: $i] :
( ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2026 @ SV1268 )
= $false )
| ( ( ! [SY9275: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9275 @ SV838 )
| ! [SY9276: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9276 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SY9276 @ SY9275 @ SV2026 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4747]) ).
thf(4921,plain,
! [SV839: $i,SV1269: $i,SV2027: $i,SV1674: $i,SV399: $i] :
( ( ( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SV2027 @ SV1269 ) )
= $true )
| ( ( ! [SY9277: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9277 @ SV839 )
| ! [SY9278: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9278 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SY9278 @ SY9277 @ SV2027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4748]) ).
thf(4922,plain,
! [SV1675: $i,SV840: $i,SV2300: $i,SV2028: $i,SV2556: $i,SV1270: $i,SV400: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV400 @ SV1270 @ SV2556 @ SV2028 @ SV2300 ) )
= $true )
| ( ( ! [SY9697: $i] :
~ ( c_BigStep_Oeval @ SV400 @ SV840 @ SV1675 @ ( c_Expr_Oexp_OVal @ SY9697 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2556 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV400 @ ( c_Expr_Oexp_OSeq @ SV840 @ SV1270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1675 @ SV2028 @ SV2300 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4749]) ).
thf(4923,plain,
! [SV1676: $i,SV2301: $i,SV2029: $i,SV1271: $i,SV841: $i,SV401: $i] :
( ( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV2029 @ SV2301 )
= $false )
| ( ( ! [SY8703: $i] :
~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV1676 @ SY8703 ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ ( c_Expr_Oexp_OSeq @ SV1676 @ SV2029 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2301 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4750]) ).
thf(4924,plain,
! [SV2557: $i,SV2469: $i,SV2030: $i,SV1677: $i,SV1272: $i,SV842: $i,SV402: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ ( c_Expr_Oexp_OCond @ SV1677 @ SV2030 @ SV2469 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2557 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV402 @ SV842 @ SV1272 @ SV1677 @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4751]) ).
thf(4925,plain,
! [SV2302: $i,SV2034: $i,SV1681: $i,SV406: $i,SV846: $i,SV1276: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1276 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) ) )
= $false )
| ( ( ! [SY9564: $i] :
~ ( c_WellTypeRT_OWTrt @ SV1276 @ SV2302 @ SV846 @ ( c_Expr_Oexp_OCond @ SY9564 @ SV1681 @ SV2034 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV406 ) )
= $true )
| ( ( SV406
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4754]) ).
thf(4926,plain,
! [SV1277: $i,SV2035: $i,SV1682: $i,SV2558: $i,SV847: $i,SV407: $i] :
( ( ( c_WellType_OWT @ SV407 @ SV847 @ ( c_Expr_Oexp_OCond @ SV2558 @ SV1682 @ SV2035 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1277 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV407 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV847 @ SV407 @ SV1277 @ SV1682 @ SV2035 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4755]) ).
thf(4927,plain,
! [SV2039: $i,SV1686: $i,SV2581: $i,SV1281: $i,SV851: $i,SV411: $i] :
( ( ( ~ ( c_WellType_OWT @ SV411 @ SV851 @ SV1281 @ SV2581 ) )
= $true )
| ( ( c_WellType_OWT @ SV411 @ SV851 @ SV1686 @ SV2039 )
= $false )
| ( ( c_WellType_OWT @ SV411 @ SV851 @ ( c_Expr_Oexp_OSeq @ SV1281 @ SV1686 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2039 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4758]) ).
thf(4928,plain,
! [SV2473: $i,SV2305: $i,SV2040: $i,SV1687: $i,SV1282: $i,SV852: $i,SV412: $i] :
( ( ( ( c_Expr_Oexp_OCond @ SV412 @ SV852 @ SV1282 @ SV1687 )
= ( c_Expr_Oexp_OCond @ SV2040 @ SV2305 @ SV2473 @ SV1687 ) )
= $false )
| ( ( SV1282 = SV2473 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4759]) ).
thf(4929,plain,
! [SV2559: $i,SV2306: $i,SV2041: $i,SV1688: $i,SV1283: $i,SV853: $i,SV413: $i] :
( ( ( ( c_Expr_Oexp_OCond @ SV413 @ SV853 @ SV1283 @ SV1688 )
= ( c_Expr_Oexp_OCond @ SV2041 @ SV2306 @ SV2559 @ SV1688 ) )
= $false )
| ( ( SV853 = SV2306 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4760]) ).
thf(4930,plain,
! [SV2560: $i,SV2474: $i,SV2042: $i,SV1689: $i,SV1284: $i,SV854: $i,SV414: $i] :
( ( ( ( c_Expr_Oexp_OCond @ SV414 @ SV854 @ SV1284 @ SV1689 )
= ( c_Expr_Oexp_OCond @ SV2042 @ SV2474 @ SV2560 @ SV1689 ) )
= $false )
| ( ( SV414 = SV2042 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4761]) ).
thf(4931,plain,
! [SV415: $i,SV2043: $i,SV1690: $i,SV2582: $i,SV855: $i,SV1285: $i] :
( ( ( ~ ( c_WellType_OWT @ SV1285 @ SV855 @ ( c_Expr_Oexp_OCond @ SV2582 @ SV1690 @ SV2043 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV415 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1285 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) ) )
= $false )
| ( ( SV415
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4762]) ).
thf(4932,plain,
! [SV2583: $i,SV2561: $i,SV2475: $i,SV2307: $i,SV2044: $i,SV1691: $i,SV1286: $i,SV856: $i,SV416: $i] :
( ( ( ( c_Expr_Oexp_OTryCatch @ SV416 @ SV856 @ SV1286 @ SV1691 @ SV2044 )
!= ( c_Expr_Oexp_OTryCatch @ SV2307 @ SV2475 @ SV2561 @ SV2583 @ SV2044 ) )
| ( SV1691 = SV2583 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4763]) ).
thf(4933,plain,
! [SV2562: $i,SV2476: $i,SV2308: $i,SV2045: $i,SV1692: $i,SV1287: $i,SV857: $i,SV417: $i] :
( ( ( ! [SY9699: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV417 @ SV857 @ SV1287 @ SV1692 @ SV2045 )
!= ( c_Expr_Oexp_OTryCatch @ SV2308 @ SV2476 @ SV2562 @ SY9699 @ SV2045 ) ) )
= $true )
| ( ( SV1287 = SV2562 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4764]) ).
thf(4934,plain,
! [SV2584: $i,SV2477: $i,SV2309: $i,SV2046: $i,SV1693: $i,SV1288: $i,SV858: $i,SV418: $i] :
( ( ( ! [SY9706: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV418 @ SV858 @ SV1288 @ SV1693 @ SV2046 )
!= ( c_Expr_Oexp_OTryCatch @ SV2309 @ SV2477 @ SV2584 @ SY9706 @ SV2046 ) ) )
= $true )
| ( ( SV858 = SV2477 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4765]) ).
thf(4935,plain,
! [SV2585: $i,SV2478: $i,SV2310: $i,SV2047: $i,SV1694: $i,SV1289: $i,SV859: $i,SV419: $i] :
( ( ( ! [SY9707: $i] :
( ( c_Expr_Oexp_OTryCatch @ SV419 @ SV859 @ SV1289 @ SV1694 @ SV2047 )
!= ( c_Expr_Oexp_OTryCatch @ SV2310 @ SV2478 @ SV2585 @ SY9707 @ SV2047 ) ) )
= $true )
| ( ( SV419 = SV2310 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4766]) ).
thf(4936,plain,
! [SV1698: $i,SV2313: $i,SV2050: $i,SV1295: $i,SV870: $i,SV430: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV2050 @ SV2313 )
= $false )
| ( ( ! [SY8764: $i] :
~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV1698 @ SY8764 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ ( c_Expr_Oexp_OSeq @ SV1698 @ SV2050 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2313 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4769]) ).
thf(4937,plain,
! [SV872: $i,SV2051: $i,SV1699: $i,SV1296: $i,SV432: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2051 @ SV872 )
= $false )
| ( ( ! [SY9324: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9324 @ SV872 )
| ! [SY9325: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9325 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ ( c_Expr_Oexp_OCond @ SY9325 @ SY9324 @ SV2051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4770]) ).
thf(4938,plain,
! [SV2052: $i,SV1700: $i,SV874: $i,SV434: $i,SV1297: $i,SV2481: $i] :
( ( ( c_Map_Omap__le @ SV2481 @ SV1297 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
= $false )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SV2481 @ SV1700 @ SV2052 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SV1297 @ SV1700 @ SV2052 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4771]) ).
thf(4939,plain,
! [SV2563: $i,SV2482: $i,SV2314: $i,SV2055: $i,SV1703: $i,SV1300: $i,SV877: $i,SV437: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV437 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV877 @ SV1300 @ SV437 @ SV1703 @ SV2055 @ SV2314 @ SV2482 @ SV2563 ) ) @ SV1703 ) )
= $true )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV437 @ SV2563 @ SV1300 @ ( c_Expr_Oexp_OTryCatch @ SV2314 @ SV877 @ SV2055 @ SV2482 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1703 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4772]) ).
thf(4940,plain,
! [SV1704: $i,SV2315: $i,SV1302: $i,SV879: $i,SV439: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SV2315 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV2315 ) @ SV1704 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV439 @ SV879 ) @ SV1302 ) @ SV1704 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4773]) ).
thf(4941,plain,
! [SV1705: $i,SV880: $i,SV2056: $i,SV2483: $i,SV1303: $i,SV440: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV440 @ SV1303 ) @ SV2483 ) @ SV2056 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SV2483 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SV2056 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4774]) ).
thf(4942,plain,
! [SV2058: $i,SV1707: $i,SV1305: $i,SV442: $i,SV882: $i,SV2484: $i] :
( ( ( c_Objects_Ohext @ SV2484 @ SV882 )
= $false )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV442 @ SV2484 @ SV1305 @ SV1707 @ SV2058 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV442 @ SV882 @ SV1305 @ SV1707 @ SV2058 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4775]) ).
thf(4943,plain,
! [SV2316: $i,SV2059: $i,SV1708: $i,SV883: $i,SV1306: $i,SV443: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
= $false )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2316 @ SV1306 )
| ! [SY9584: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9584 @ SV883 )
| ! [SY9585: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9585 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SY9585 @ SY9584 @ SV2316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4776]) ).
thf(4944,plain,
! [SV884: $i,SV1307: $i,SV2317: $i,SV2060: $i,SV1709: $i,SV444: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2317 @ SV1307 ) )
= $true )
| ( ( ! [SY9586: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9586 @ SV884 )
| ! [SY9587: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9587 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SY9587 @ SY9586 @ SV2317 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4777]) ).
thf(4945,plain,
! [SV1710: $i,SV2318: $i,SV1308: $i,SV886: $i,SV445: $i] :
( ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SV2318 @ tc_Type_Oty @ tc_Type_Oty )
= $false )
| ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV2318 @ SV1710 @ tc_Type_Oty @ tc_Type_Oty )
= $false )
| ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV445 @ SV886 ) @ SV1308 @ SV1710 @ tc_Type_Oty @ tc_Type_Oty )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4778]) ).
thf(4946,plain,
! [SV1311: $i,SV452: $i,SV2061: $i,SV1713: $i,SV2485: $i,SV891: $i,SV3: $i] :
( ( ( c_BigStep_Oeval @ SV3 @ SV891 @ SV2485 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2061 )
= $false )
| ( ( ~ ( c_BigStep_Oeval @ SV3 @ SV452 @ SV1311 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2485 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV3 @ ( c_Expr_Oexp_OWhile @ SV452 @ SV891 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1311 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2061 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4779]) ).
thf(4947,plain,
! [SV1312: $i,SV2062: $i,SV1714: $i,SV2319: $i,SV892: $i,SV453: $i,SV6: $i] :
( ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 @ SV1714 @ SV2062 )
= $false )
| ( ( ! [SY9588: $i] :
( ! [SY9589: $i] :
~ ( c_BigStep_Oeval @ SV6 @ SV892 @ SY9588 @ ( c_Expr_Oexp_OVal @ SY9589 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 )
| ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SV1312 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9588 ) ) )
= $true )
| ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1312 @ SV1714 @ SV2062 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4780]) ).
thf(4948,plain,
! [SV1314: $i,SV1715: $i,SV455: $i,SV2320: $i,SV2063: $i,SV2564: $i,SV894: $i,SV8: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV8 @ SV894 @ SV2564 @ SV2063 @ SV2320 ) )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV8 @ SV455 @ SV1715 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2564 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV8 @ ( c_Expr_Oexp_OCond @ SV455 @ SV894 @ SV1314 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1715 @ SV2063 @ SV2320 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4781]) ).
thf(4949,plain,
! [SV899: $i,SV2065: $i,SV1719: $i,SV1319: $i,SV2321: $i,SV460: $i,SV15: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9591: $i] :
( ! [SY9592: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SY9591 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9592 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SY9591 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4782]) ).
thf(4950,plain,
! [SV900: $i,SV1320: $i,SV16: $i,SV2322: $i,SV2066: $i,SV1720: $i,SV2565: $i,SV461: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV461 @ SV2565 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV16 @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2565 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV16 @ SV461 @ SV900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4783]) ).
thf(4951,plain,
! [SV1748: $i,SV1356: $i,SV936: $i,SV2488: $i,SV2331: $i,SV2087: $i,SV497: $i,SV52: $i] :
( ( ( c_BigStep_Oeval @ SV52 @ SV497 @ SV2087 @ ( c_Expr_Oexp_Othrow @ SV2331 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2488 )
= $false )
| ( ( c_BigStep_Oeval @ SV52 @ ( c_Expr_Oexp_OFAss @ SV497 @ SV936 @ SV1356 @ SV1748 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2087 @ ( c_Expr_Oexp_Othrow @ SV2331 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2488 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4787]) ).
thf(4952,plain,
! [SV968: $i,SV84: $i,SV2107: $i,SV1773: $i,SV1387: $i,SV2494: $i,SV529: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV529 @ SV2494 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV84 @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2494 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV84 @ SV529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4796]) ).
thf(4953,plain,
! [SV990: $i,SV1790: $i,SV551: $i,SV2348: $i,SV2120: $i,SV2566: $i,SV1406: $i,SV106: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV106 @ SV1406 @ SV2566 @ SV2120 @ SV2348 ) )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV106 @ SV551 @ SV1790 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2566 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV106 @ ( c_Expr_Oexp_OCond @ SV551 @ SV990 @ SV1406 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1790 @ SV2120 @ SV2348 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4798]) ).
thf(4954,plain,
! [SV567: $i,SV1421: $i,SV122: $i,SV2354: $i,SV2131: $i,SV1804: $i,SV2567: $i,SV1006: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1006 @ SV2567 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV122 @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2567 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV122 @ SV567 @ SV1006 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4800]) ).
thf(4955,plain,
! [SV594: $i,SV1828: $i,SV1448: $i,SV1033: $i,SV2363: $i,SV149: $i] :
( ( ( c_Conform_Olconf @ SV149 @ SV2363 @ SV1033 @ SV1448 @ SV1828 )
= $false )
| ( ( c_Objects_Ohext @ SV2363 @ SV594 )
= $false )
| ( ( c_Conform_Olconf @ SV149 @ SV594 @ SV1033 @ SV1448 @ SV1828 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4806]) ).
thf(4956,plain,
! [SV176: $i,SV1474: $i,SV1060: $i,SV1850: $i,SV621: $i] :
( ( ( c_Map_Omap__le @ SV621 @ SV1850 @ SV1060 @ SV1474 )
= $false )
| ( ( ~ ( c_Map_Omap__le @ SV176 @ SV1850 @ SV1060 @ SV1474 ) )
= $true )
| ( ( c_Map_Omap__le @ SV176 @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1060 @ SV1474 )
= $false )
| ( ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1850 @ SV1060 @ SV1474 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4810]) ).
thf(4957,plain,
! [SV1062: $i,SV1852: $i,SV623: $i,SV2370: $i,SV2161: $i,SV2568: $i,SV1476: $i,SV178: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV178 @ SV1476 @ SV2568 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 ) )
= $true )
| ( ( ! [SY9700: $i] :
~ ( c_BigStep_Oeval @ SV178 @ SV623 @ SV1852 @ ( c_Expr_Oexp_OVal @ SY9700 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2568 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SV623 @ SV1062 @ SV1476 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1852 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4811]) ).
thf(4958,plain,
! [SV1479: $i,SV1065: $i,SV2163: $i,SV626: $i,SV2501: $i,SV2371: $i,SV2586: $i,SV1854: $i,SV181: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV181 @ SV1854 @ SV2586 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
| ! [SY9708: $i] :
~ ( c_BigStep_Oeval @ SV181 @ SV626 @ SV2163 @ ( c_Expr_Oexp_OVal @ SY9708 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2586 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SV1065 @ SV1479 @ SV1854 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2163 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4812]) ).
thf(4959,plain,
! [SV1069: $i,SV630: $i,SV185: $i,SV2502: $i,SV2372: $i,SV2165: $i,SV1857: $i,SV1482: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV1482 @ SV1857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2165 @ SV2372 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2502 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SV1482 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1857 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV185 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV630 @ SV1069 @ SV2165 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2372 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2502 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4813]) ).
thf(4960,plain,
! [SV1073: $i,SV634: $i,SV2374: $i,SV1486: $i,SV2168: $i,SV1861: $i,SV189: $i] :
( ( ( c_Conform_Olconf @ SV189 @ SV1861 @ SV2168 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $false )
| ( ( ! [SY9614: $i] :
~ ( c_WellTypeRT_OWTrt @ SV189 @ SV1861 @ SV1486 @ SV2374 @ SY9614 )
| ! [SY9615: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV2374 @ ( c_Pair @ SV1861 @ SV2168 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9615 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SV1486 @ ( 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)],[4815]) ).
thf(4961,plain,
! [SV635: $i,SV2375: $i,SV2169: $i,SV1862: $i,SV1487: $i,SV1074: $i,SV190: $i] :
( ( ( c_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $false )
| ( ( ~ ( c_WellTypeRT_OWTrt @ SV190 @ SV1074 @ SV1487 @ SV1862 @ SV2169 )
| ! [SY9616: $i,SY9617: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1862 @ ( c_Pair @ SV1074 @ SV2375 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9616 @ ( c_Pair @ SV635 @ SY9617 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Conform_Ohconf @ SV190 @ SV635 @ ( 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)],[4816]) ).
thf(4962,plain,
! [SV1491: $i,SV1079: $i,SV640: $i,SV2503: $i,SV2376: $i,SV2172: $i,SV1865: $i,SV195: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV195 @ SV1865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2172 @ SV2376 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2503 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV195 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1865 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV2172 @ SV640 @ SV1079 @ SV1491 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2376 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2503 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4817]) ).
thf(4963,plain,
! [SV1499: $i,SV1087: $i,SV648: $i,SV2504: $i,SV2379: $i,SV2177: $i,SV1872: $i,SV203: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV203 @ SV1872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2177 @ SV2379 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2504 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV203 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1872 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV2177 @ SV648 @ SV1087 @ SV1499 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2379 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2504 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4820]) ).
thf(4964,plain,
! [SV1090: $i,SV2505: $i,SV2381: $i,SV2179: $i,SV1875: $i,SV1502: $i,SV651: $i,SV206: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ SV1502 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1875 @ ( c_Pair @ SV2179 @ SV2381 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2505 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV206 @ ( c_Pair @ SV651 @ ( c_Map_Omap__add @ SV1090 @ SV1502 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1875 @ ( c_Pair @ SV2179 @ ( c_Map_Omap__add @ SV1090 @ SV2381 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2505 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4822]) ).
thf(4965,plain,
! [SV2506: $i,SV1877: $i,SV2382: $i,SV1504: $i,SV1092: $i,SV653: $i,SV208: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ ( c_Expr_Oexp_OFAcc @ SV1504 @ SV2382 @ SV1877 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2506 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ SV1877 @ SV1092 @ SV2382 @ SV208 @ SV2506 @ SV1504 @ SV653 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV208 @ SV653 @ SV1092 @ SV1504 @ c_Type_Oty_ONT )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4823]) ).
thf(4966,plain,
! [SV2587: $i,SV2507: $i,SV1878: $i,SV2180: $i,SV1505: $i,SV1093: $i,SV654: $i,SV209: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ ( c_Expr_Oexp_OFAss @ SV1505 @ SV2180 @ SV1878 @ SV2507 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2587 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1878 @ SV1093 @ SV2180 @ SV209 @ SV1505 @ SV654 @ SV2507 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ c_Type_Oty_ONT )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4824]) ).
thf(4967,plain,
! [SV1099: $i,SV2184: $i,SV215: $i,SV2384: $i,SV1510: $i,SV1883: $i,SV660: $i] :
( ( ( c_in @ ( c_Pair @ SV660 @ SV1883 @ SV1510 @ SV1510 ) @ ( hAPP @ SV2384 @ SV215 ) @ ( tc_prod @ SV1510 @ SV1510 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV2184 @ SV215 ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ ( c_Pair @ SV215 @ SV660 @ SV1099 @ SV1510 ) @ ( c_Pair @ SV215 @ SV1883 @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) @ ( c_Recdef_Osame__fst @ SV2184 @ SV2384 @ SV1099 @ SV1510 ) @ ( tc_prod @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4826]) ).
thf(4968,plain,
! [SV1511: $i,SV661: $i,SV1100: $i,SV216: $i,SV2569: $i,SV2508: $i,SV2185: $i,SV1884: $i] :
( ( ( c_in @ ( c_Pair @ SV1884 @ SV2185 @ SV2508 @ SV2508 ) @ SV2569 @ ( tc_prod @ SV2508 @ SV2508 ) )
= $true )
| ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1884 @ SV216 @ SV2508 @ SV1100 ) @ ( c_Pair @ SV2185 @ SV661 @ SV2508 @ SV1100 ) @ ( tc_prod @ SV2508 @ SV1100 ) @ ( tc_prod @ SV2508 @ SV1100 ) ) @ ( c_Wellfounded_Olex__prod @ SV2569 @ SV1511 @ SV2508 @ SV1100 ) @ ( tc_prod @ ( tc_prod @ SV2508 @ SV1100 ) @ ( tc_prod @ SV2508 @ SV1100 ) ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV216 @ SV661 @ SV1100 @ SV1100 ) @ SV1511 @ ( tc_prod @ SV1100 @ SV1100 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4827]) ).
thf(4969,plain,
! [SV2570: $i,SV2186: $i,SV1512: $i,SV662: $i,SV2385: $i,SV1101: $i,SV1885: $i,SV217: $i] :
( ( ( c_in @ ( c_Pair @ SV217 @ SV1885 @ SV1101 @ SV1101 ) @ SV2385 @ ( tc_prod @ SV1101 @ SV1101 ) )
= $false )
| ( ( c_in @ ( c_Pair @ ( c_Pair @ SV217 @ SV662 @ SV1101 @ SV1512 ) @ ( c_Pair @ SV1885 @ SV2186 @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) @ ( c_Wellfounded_Olex__prod @ SV2385 @ SV2570 @ SV1101 @ SV1512 ) @ ( tc_prod @ ( tc_prod @ SV1101 @ SV1512 ) @ ( tc_prod @ SV1101 @ SV1512 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4828]) ).
thf(4970,plain,
! [SV2588: $i,SV1514: $i,SV2571: $i,SV664: $i,SV2188: $i,SV1103: $i,SV1887: $i,SV219: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV219 @ SV1887 @ SV1103 @ SV2188 ) @ ( c_Pair @ SV664 @ SV2571 @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) ) @ ( c_Wellfounded_Olex__prod @ SV1514 @ SV2588 @ SV1103 @ SV2188 ) @ ( tc_prod @ ( tc_prod @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) ) ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV219 @ SV664 @ SV1103 @ SV1103 ) @ SV1514 @ ( tc_prod @ SV1103 @ SV1103 ) )
= $true )
| ( ( SV219 = SV664 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4830]) ).
thf(4971,plain,
! [SV2189: $i,SV1515: $i,SV2387: $i,SV1888: $i,SV1104: $i,SV665: $i,SV220: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ SV1888 @ SV2387 @ SV665 @ SV1104 )
= $false )
| ( ( ~ ( c_in @ ( c_Pair @ SV1515 @ SV2189 @ SV665 @ SV1104 ) @ SV220 @ ( tc_prod @ SV665 @ SV1104 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ ( c_List_Olist_OCons @ SV1515 @ SV1888 @ SV665 ) @ ( c_List_Olist_OCons @ SV2189 @ SV2387 @ SV1104 ) @ SV665 @ SV1104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4831]) ).
thf(4972,plain,
! [SV2190: $i,SV1516: $i,SV2388: $i,SV1889: $i,SV1105: $i,SV666: $i,SV221: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ SV1889 @ SV2388 @ SV666 @ SV1105 )
= $false )
| ( ( ~ ( c_in @ ( c_Pair @ SV1516 @ SV2190 @ SV666 @ SV1105 ) @ SV221 @ ( tc_prod @ SV666 @ SV1105 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ ( c_List_Olist_OCons @ SV1516 @ SV1889 @ SV666 ) @ ( c_List_Olist_OCons @ SV2190 @ SV2388 @ SV1105 ) @ SV666 @ SV1105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4832]) ).
thf(4973,plain,
! [SV2191: $i,SV1517: $i,SV2389: $i,SV1890: $i,SV1106: $i,SV667: $i,SV222: $i] :
( ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ SV1890 @ SV2389 @ SV667 @ SV1106 )
= $false )
| ( ( ~ ( c_in @ ( c_Pair @ SV1517 @ SV2191 @ SV667 @ SV1106 ) @ SV222 @ ( tc_prod @ SV667 @ SV1106 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ ( c_List_Olist_OCons @ SV1517 @ SV1890 @ SV667 ) @ ( c_List_Olist_OCons @ SV2191 @ SV2389 @ SV1106 ) @ SV667 @ SV1106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4833]) ).
thf(4974,plain,
! [SV1108: $i,SV669: $i,SV1892: $i,SV224: $i,SV2510: $i,SV2391: $i,SV2192: $i,SV2589: $i,SV1519: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1519 @ SV2589 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ! [SY9709: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9709 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2589 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SV1108 @ SV1519 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4835]) ).
thf(4975,plain,
! [SV670: $i,SV1520: $i,SV225: $i,SV2392: $i,SV2193: $i,SV1893: $i,SV2572: $i,SV1109: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1109 @ SV2572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9702: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9702 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SV670 @ SV1109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4836]) ).
thf(4976,plain,
! [SV1525: $i,SV1114: $i,SV675: $i,SV2511: $i,SV2395: $i,SV2197: $i,SV1898: $i,SV230: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV230 @ SV1898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2197 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2395 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2511 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV230 @ SV675 @ SV1114 @ SV1525 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1898 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2197 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2395 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2511 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4839]) ).
thf(4977,plain,
! [SV1117: $i,SV2512: $i,SV2397: $i,SV2200: $i,SV1901: $i,SV1528: $i,SV678: $i,SV233: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ SV1528 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1901 @ ( c_Pair @ SV2200 @ SV2397 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2512 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV233 @ ( c_Pair @ SV678 @ ( c_Map_Omap__add @ SV1117 @ SV1528 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1901 @ ( c_Pair @ SV2200 @ ( c_Map_Omap__add @ SV1117 @ SV2397 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Value_Oval ) @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2512 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4841]) ).
thf(4978,plain,
! [SV1130: $i,SV247: $i,SV2207: $i,SV1908: $i,SV1538: $i,SV2513: $i,SV692: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV692 @ SV2513 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9692: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV247 @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2513 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV247 @ SV692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4846]) ).
thf(4979,plain,
! [SV1539: $i,SV1131: $i,SV693: $i,SV2514: $i,SV2399: $i,SV2208: $i,SV1909: $i,SV248: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV248 @ SV1909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2208 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2399 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2514 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV248 @ SV693 @ SV1131 @ SV1539 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1909 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2208 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2399 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2514 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4847]) ).
thf(4980,plain,
! [SV1132: $i,SV2590: $i,SV1910: $i,SV694: $i,SV1540: $i,SV249: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV249 @ ( c_State_Ohp @ SV1540 ) @ SV694 @ SV1910 @ SV2590 ) )
= $true )
| ( ( ! [SY9067: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1910 @ SV1540 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9067 @ SV1132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1540 )
= $false )
| ( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1132 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4848]) ).
thf(4981,plain,
! [SV1550: $i,SV1142: $i,SV704: $i,SV2517: $i,SV2404: $i,SV2216: $i,SV1919: $i,SV259: $i] :
( ( ( c_SmallStep_Oredp @ SV259 @ SV1919 @ SV2216 @ SV2404 @ SV2517 )
= $false )
| ( ( c_SmallStep_Oredp @ SV259 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SV1919 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2216 @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV704 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1142 @ SV1550 @ SV2404 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2517 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4853]) ).
thf(4982,plain,
! [SV2518: $i,SV1922: $i,SV2591: $i,SV1554: $i,SV1146: $i,SV708: $i,SV263: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1554 @ SV2591 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1922 @ SV2518 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ ( c_Expr_Oexp_OBinOp @ SV1554 @ c_Expr_Obop_OEq @ SV1922 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4854]) ).
thf(4983,plain,
! [SV1561: $i,SV1153: $i,SV715: $i,SV2520: $i,SV2408: $i,SV2222: $i,SV1928: $i,SV272: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV272 @ SV1928 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2222 @ SV2408 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2520 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV272 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1928 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OTryCatch @ SV2222 @ SV715 @ SV1153 @ SV1561 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2408 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2520 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4856]) ).
thf(4984,plain,
! [SV1571: $i,SV1165: $i,SV727: $i,SV2523: $i,SV2415: $i,SV2232: $i,SV1938: $i,SV284: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV284 @ SV1938 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2232 @ SV2415 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2523 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV284 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1938 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV2232 @ SV727 @ SV1165 @ SV1571 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2415 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2523 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4861]) ).
thf(4985,plain,
! [SV2592: $i,SV2573: $i,SV2418: $i,SV2236: $i,SV1942: $i,SV1575: $i,SV1169: $i,SV731: $i,SV288: $i] :
( ( ( ( c_Expr_Oexp_OFAss @ SV288 @ SV731 @ SV1169 @ SV1575 @ SV1942 )
!= ( c_Expr_Oexp_OFAss @ SV2236 @ SV2418 @ SV2573 @ SV2592 @ SV1942 ) )
= $true )
| ( ( SV288 = SV2236 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4864]) ).
thf(4986,plain,
! [SV2593: $i,SV2574: $i,SV2419: $i,SV2237: $i,SV1943: $i,SV1576: $i,SV1170: $i,SV732: $i,SV289: $i] :
( ( ( ( c_Expr_Oexp_OFAss @ SV289 @ SV732 @ SV1170 @ SV1576 @ SV1943 )
!= ( c_Expr_Oexp_OFAss @ SV2237 @ SV2419 @ SV2574 @ SV2593 @ SV1943 ) )
= $true )
| ( ( SV732 = SV2419 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4865]) ).
thf(4987,plain,
! [SV2594: $i,SV2525: $i,SV2420: $i,SV2238: $i,SV1944: $i,SV1577: $i,SV1171: $i,SV733: $i,SV290: $i] :
( ( ( ( c_Expr_Oexp_OFAss @ SV290 @ SV733 @ SV1171 @ SV1577 @ SV1944 )
!= ( c_Expr_Oexp_OFAss @ SV2238 @ SV2420 @ SV2525 @ SV2594 @ SV1944 ) )
= $true )
| ( ( SV1171 = SV2525 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4866]) ).
thf(4988,plain,
! [SV2575: $i,SV2526: $i,SV2421: $i,SV2239: $i,SV1945: $i,SV1578: $i,SV1172: $i,SV734: $i,SV291: $i] :
( ( ( ( c_Expr_Oexp_OFAss @ SV291 @ SV734 @ SV1172 @ SV1578 @ SV1945 )
!= ( c_Expr_Oexp_OFAss @ SV2239 @ SV2421 @ SV2526 @ SV2575 @ SV1945 ) )
= $true )
| ( ( SV1578 = SV2575 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4867]) ).
thf(4989,plain,
! [SV1949: $i,SV738: $i,SV2424: $i,SV1582: $i,SV2242: $i,SV1176: $i,SV295: $i] :
( ( ( c_List_Olist__all2 @ SV295 @ SV1176 @ SV2242 @ SV1582 @ SV2424 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV295 @ SV738 ) @ SV1949 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV295 @ ( c_List_Olist_OCons @ SV738 @ SV1176 @ SV1582 ) @ ( c_List_Olist_OCons @ SV1949 @ SV2242 @ SV2424 ) @ SV1582 @ SV2424 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4871]) ).
thf(4990,plain,
! [SV1950: $i,SV739: $i,SV2425: $i,SV1583: $i,SV2243: $i,SV1177: $i,SV296: $i] :
( ( ( c_List_Olist__all2 @ SV296 @ SV1177 @ SV2243 @ SV1583 @ SV2425 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV296 @ SV739 ) @ SV1950 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV296 @ ( c_List_Olist_OCons @ SV739 @ SV1177 @ SV1583 ) @ ( c_List_Olist_OCons @ SV1950 @ SV2243 @ SV2425 ) @ SV1583 @ SV2425 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4872]) ).
thf(4991,plain,
! [SV1951: $i,SV740: $i,SV2426: $i,SV1584: $i,SV2244: $i,SV1178: $i,SV297: $i] :
( ( ( c_List_Olist__all2 @ SV297 @ SV1178 @ SV2244 @ SV1584 @ SV2426 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV297 @ SV740 ) @ SV1951 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV297 @ ( c_List_Olist_OCons @ SV740 @ SV1178 @ SV1584 ) @ ( c_List_Olist_OCons @ SV1951 @ SV2244 @ SV2426 ) @ SV1584 @ SV2426 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4873]) ).
thf(4992,plain,
! [SV2576: $i,SV2530: $i,SV2428: $i,SV2249: $i,SV1957: $i,SV1590: $i,SV1184: $i,SV747: $i,SV304: $i] :
( ( ( c_Expr_Oexp_OFAss @ SV304 @ SV747 @ SV1184 @ SV1590 @ SV1957 )
= ( c_Expr_Oexp_OTryCatch @ SV2249 @ SV2428 @ SV2530 @ SV2576 @ SV1957 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4875]) ).
thf(4993,plain,
! [SV1186: $i,SV749: $i,SV306: $i,SV2531: $i,SV2430: $i,SV2251: $i,SV1959: $i,SV1592: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV1592 @ SV1959 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2251 @ SV2430 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2531 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SV1592 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1959 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ ( c_Expr_Oexp_OVal @ SV306 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV749 @ SV1186 @ SV2251 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2430 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV2531 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4876]) ).
thf(4994,plain,
! [SV2577: $i,SV2534: $i,SV2436: $i,SV2255: $i,SV1965: $i,SV1598: $i,SV1192: $i,SV755: $i,SV312: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ SV312 @ SV755 @ SV1192 @ SV1598 @ SV1965 )
= ( c_Expr_Oexp_OFAss @ SV2255 @ SV2436 @ SV2534 @ SV2577 @ SV1965 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4880]) ).
thf(4995,plain,
! [SV1968: $i,SV1601: $i,SV1195: $i,SV2536: $i,SV2438: $i,SV2257: $i,SV758: $i,SV315: $i] :
( ( ( c_SmallStep_Oredp @ SV315 @ SV758 @ SV2257 @ SV2438 @ SV2536 )
= $false )
| ( ( c_SmallStep_Oredp @ SV315 @ ( c_Expr_Oexp_OFAss @ SV758 @ SV1195 @ SV1601 @ SV1968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2257 @ ( c_Expr_Oexp_OFAss @ SV2438 @ SV1195 @ SV1601 @ SV1968 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2536 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4882]) ).
thf(4996,plain,
! [SV2537: $i,SV1970: $i,SV2595: $i,SV1603: $i,SV1197: $i,SV760: $i,SV317: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1603 @ SV2595 ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1970 @ SV2537 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ ( c_Expr_Oexp_OBinOp @ SV1603 @ c_Expr_Obop_OEq @ SV1970 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4884]) ).
thf(4997,plain,
! [SV1972: $i,SV1605: $i,SV1199: $i,SV2538: $i,SV2440: $i,SV2260: $i,SV762: $i,SV320: $i] :
( ( ( c_SmallStep_Oredp @ SV320 @ SV762 @ SV2260 @ SV2440 @ SV2538 )
= $false )
| ( ( c_SmallStep_Oredp @ SV320 @ ( c_Expr_Oexp_OTryCatch @ SV762 @ SV1199 @ SV1605 @ SV1972 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2260 @ ( c_Expr_Oexp_OTryCatch @ SV2440 @ SV1199 @ SV1605 @ SV1972 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2538 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4885]) ).
thf(4998,plain,
! [SV1992: $i,SV2452: $i,SV1628: $i,SV1223: $i,SV788: $i,SV347: $i] :
( ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SV2452 @ tc_Value_Oval @ tc_Type_Oty )
= $false )
| ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV347 @ SV1223 ) @ SV2452 @ SV1992 @ tc_Type_Oty @ tc_Type_Oty )
= $false )
| ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV347 @ SV788 @ SV1223 ) @ SV1628 @ SV1992 @ tc_Value_Oval @ tc_Type_Oty )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4893]) ).
thf(4999,plain,
! [SV2278: $i,SV2544: $i,SV2453: $i,SV1995: $i,SV1633: $i,SV1229: $i,SV794: $i,SV353: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ ( c_Expr_Oexp_OTryCatch @ SV1633 @ SV1995 @ SV2453 @ SV2544 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2278 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV353 @ SV794 @ SV1229 @ SV1633 @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV1995 @ SV1229 @ SV353 @ SV2278 @ SV2453 @ SV1633 @ SV2544 @ SV794 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4894]) ).
thf(5000,plain,
! [SV356: $i,SV1998: $i,SV1635: $i,SV2578: $i,SV797: $i,SV1232: $i] :
( ( ( c_WellType_OWT @ SV1232 @ SV797 @ ( c_Expr_Oexp_OCond @ SV2578 @ SV1635 @ SV1998 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV356 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1232 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) ) )
= $false )
| ( ( SV356
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV797 @ SV1232 @ SV356 @ SV1635 @ SV1998 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4896]) ).
thf(5001,plain,
! [SV798: $i,SV1233: $i,SV2280: $i,SV1999: $i,SV1636: $i,SV357: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2280 @ SV1233 ) )
= $true )
| ( ( ! [SY9543: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9543 @ SV798 )
| ! [SY9544: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9544 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SY9544 @ SY9543 @ SV2280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4897]) ).
thf(5002,plain,
! [SV799: $i,SV1234: $i,SV2281: $i,SV2000: $i,SV1637: $i,SV358: $i] :
( ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2281 @ SV1234 )
= $false )
| ( ( ! [SY9545: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9545 @ SV799 )
| ! [SY9546: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9546 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SY9546 @ SY9545 @ SV2281 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4898]) ).
thf(5003,plain,
! [SV2001: $i,SV1638: $i,SV1235: $i,SV359: $i,SV800: $i,SV2455: $i] :
( ( ( c_Objects_Ohext @ SV2455 @ SV800 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV2455 @ SV1235 ) @ SV1638 ) @ SV2001 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV359 @ SV800 @ SV1235 ) @ SV1638 ) @ SV2001 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4899]) ).
thf(5004,plain,
! [SV801: $i,SV2002: $i,SV1639: $i,SV1236: $i,SV2456: $i,SV361: $i] :
( ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV2456 @ SV1236 ) @ SV1639 @ SV2002 @ tc_Value_Oval @ tc_Type_Oty )
= $false )
| ( ( c_Objects_Ohext @ SV2456 @ SV801 )
= $false )
| ( ( c_List_Olist__all2 @ ( c_Conform_Oconf @ SV361 @ SV801 @ SV1236 ) @ SV1639 @ SV2002 @ tc_Value_Oval @ tc_Type_Oty )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4900]) ).
thf(5005,plain,
! [SV2287: $i,SV1245: $i,SV2460: $i,SV1649: $i,SV813: $i,SV373: $i] :
( ( ( ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1649 @ SV2460 ) )
= $true )
| ( ( ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1245 @ SV2287 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV373 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2287 ) @ SV2460 ) )
= $false )
| ( ( c_WellType_OWT @ SV373 @ SV813 @ ( c_Expr_Oexp_OBinOp @ SV1245 @ c_Expr_Obop_OEq @ SV1649 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4905]) ).
thf(5006,plain,
! [SV2461: $i,SV1246: $i,SV2288: $i,SV1650: $i,SV814: $i,SV374: $i] :
( ( ( ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1650 @ SV2288 ) )
= $true )
| ( ( ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1246 @ SV2461 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV374 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2288 ) @ SV2461 ) )
= $false )
| ( ( c_WellType_OWT @ SV374 @ SV814 @ ( c_Expr_Oexp_OBinOp @ SV1246 @ c_Expr_Obop_OEq @ SV1650 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4906]) ).
thf(5007,plain,
! [SV377: $i,SV2011: $i,SV1653: $i,SV2596: $i,SV817: $i,SV2290: $i,SV1249: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV1249 @ SV2290 @ SV817 @ ( c_Expr_Oexp_OCond @ SV2596 @ SV1653 @ SV2011 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV377 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1249 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) ) )
= $false )
| ( ( SV377
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4907]) ).
thf(5008,plain,
! [SV1654: $i,SV818: $i,SV2579: $i,SV1250: $i,SV378: $i] :
( ( ( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SV2579 @ SV818 ) )
= $true )
| ( ( ! [SY9705: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY9705 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV378 @ SV1250 @ ( c_Expr_Oexp_OCond @ SY9705 @ SV2579 @ SV1654 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 ) ) )
= $true )
| ( ( c_WellType_OWT @ SV378 @ SV1250 @ SV1654 @ SV818 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4908]) ).
thf(5009,plain,
! [SV2013: $i,SV823: $i,SV2597: $i,SV1658: $i,SV1255: $i,SV383: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2597 @ SV823 )
| ! [SY9710: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9710 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ ( c_Expr_Oexp_OCond @ SY9710 @ SV2597 @ SV2013 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 ) ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2013 @ SV823 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4912]) ).
thf(5010,plain,
! [SV1258: $i,SV2016: $i,SV1661: $i,SV2580: $i,SV826: $i,SV2293: $i,SV386: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV386 @ SV2293 @ SV826 @ ( c_Expr_Oexp_OCond @ SV2580 @ SV1661 @ SV2016 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1258 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV386 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV826 @ SV386 @ SV1258 @ SV1661 @ SV2016 @ SV2293 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4915]) ).
thf(5011,plain,
! [SV2296: $i,SV1667: $i,SV2020: $i,SV1264: $i,SV832: $i,SV392: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1264 ) @ SV2020 ) )
= $false )
| ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ SV1667 @ SV2296 @ tc_Type_Oty @ tc_Type_Oty )
= $false )
| ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ SV392 @ SV832 ) @ ( c_List_Olist_OCons @ SV1264 @ SV1667 @ tc_Type_Oty ) @ ( c_List_Olist_OCons @ SV2020 @ SV2296 @ tc_Type_Oty ) @ tc_Type_Oty @ tc_Type_Oty )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4917]) ).
thf(5012,plain,
! [SV2024: $i,SV1671: $i,SV1266: $i,SV2554: $i,SV2467: $i,SV2298: $i,SV836: $i,SV396: $i] :
( ( ( c_BigStep_Oeval @ SV396 @ SV836 @ SV2298 @ ( c_Expr_Oexp_OVal @ SV2467 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2554 )
= $false )
| ( ( c_BigStep_Oeval @ SV396 @ ( c_Expr_Oexp_OTryCatch @ SV836 @ SV1266 @ SV1671 @ SV2024 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2298 @ ( c_Expr_Oexp_OVal @ SV2467 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2554 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4918]) ).
thf(5013,plain,
! [SV1268: $i,SV2026: $i,SV838: $i,SV2598: $i,SV1673: $i,SV398: $i] :
( ( ( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SV2598 @ SV838 )
| ! [SY9711: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9711 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SY9711 @ SV2598 @ SV2026 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) ) )
= $true )
| ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2026 @ SV1268 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4920]) ).
thf(5014,plain,
! [SV839: $i,SV1269: $i,SV2027: $i,SV1674: $i,SV399: $i] :
( ( ( c_WellType_OWT @ SV399 @ SV1674 @ SV2027 @ SV1269 )
= $false )
| ( ( ! [SY9277: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9277 @ SV839 )
| ! [SY9278: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9278 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SY9278 @ SY9277 @ SV2027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4921]) ).
thf(5015,plain,
! [SV1675: $i,SV840: $i,SV2300: $i,SV2028: $i,SV2556: $i,SV1270: $i,SV400: $i] :
( ( ( c_BigStep_Oeval @ SV400 @ SV1270 @ SV2556 @ SV2028 @ SV2300 )
= $false )
| ( ( ! [SY9697: $i] :
~ ( c_BigStep_Oeval @ SV400 @ SV840 @ SV1675 @ ( c_Expr_Oexp_OVal @ SY9697 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2556 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV400 @ ( c_Expr_Oexp_OSeq @ SV840 @ SV1270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1675 @ SV2028 @ SV2300 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4922]) ).
thf(5016,plain,
! [SV2301: $i,SV2029: $i,SV2599: $i,SV1676: $i,SV1271: $i,SV841: $i,SV401: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV1676 @ SV2599 ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV2029 @ SV2301 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ ( c_Expr_Oexp_OSeq @ SV1676 @ SV2029 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2301 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4923]) ).
thf(5017,plain,
! [SV406: $i,SV2034: $i,SV1681: $i,SV2600: $i,SV846: $i,SV2302: $i,SV1276: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV1276 @ SV2302 @ SV846 @ ( c_Expr_Oexp_OCond @ SV2600 @ SV1681 @ SV2034 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV406 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1276 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) ) )
= $false )
| ( ( SV406
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4925]) ).
thf(5018,plain,
! [SV2039: $i,SV1686: $i,SV2581: $i,SV1281: $i,SV851: $i,SV411: $i] :
( ( ( c_WellType_OWT @ SV411 @ SV851 @ SV1281 @ SV2581 )
= $false )
| ( ( c_WellType_OWT @ SV411 @ SV851 @ SV1686 @ SV2039 )
= $false )
| ( ( c_WellType_OWT @ SV411 @ SV851 @ ( c_Expr_Oexp_OSeq @ SV1281 @ SV1686 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2039 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4927]) ).
thf(5019,plain,
! [SV415: $i,SV2043: $i,SV1690: $i,SV2582: $i,SV855: $i,SV1285: $i] :
( ( ( c_WellType_OWT @ SV1285 @ SV855 @ ( c_Expr_Oexp_OCond @ SV2582 @ SV1690 @ SV2043 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV415 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1285 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__2 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) ) @ ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) ) )
= $false )
| ( ( SV415
= ( c_WellType_Osko__WellType__XWT__elim__cases__2__1 @ SV855 @ SV1285 @ SV415 @ SV1690 @ SV2043 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4931]) ).
thf(5020,plain,
! [SV2583: $i,SV2561: $i,SV2475: $i,SV2307: $i,SV2044: $i,SV1691: $i,SV1286: $i,SV856: $i,SV416: $i] :
( ( ( ( c_Expr_Oexp_OTryCatch @ SV416 @ SV856 @ SV1286 @ SV1691 @ SV2044 )
!= ( c_Expr_Oexp_OTryCatch @ SV2307 @ SV2475 @ SV2561 @ SV2583 @ SV2044 ) )
= $true )
| ( ( SV1691 = SV2583 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4932]) ).
thf(5021,plain,
! [SV2601: $i,SV2562: $i,SV2476: $i,SV2308: $i,SV2045: $i,SV1692: $i,SV1287: $i,SV857: $i,SV417: $i] :
( ( ( ( c_Expr_Oexp_OTryCatch @ SV417 @ SV857 @ SV1287 @ SV1692 @ SV2045 )
!= ( c_Expr_Oexp_OTryCatch @ SV2308 @ SV2476 @ SV2562 @ SV2601 @ SV2045 ) )
= $true )
| ( ( SV1287 = SV2562 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4933]) ).
thf(5022,plain,
! [SV2602: $i,SV2584: $i,SV2477: $i,SV2309: $i,SV2046: $i,SV1693: $i,SV1288: $i,SV858: $i,SV418: $i] :
( ( ( ( c_Expr_Oexp_OTryCatch @ SV418 @ SV858 @ SV1288 @ SV1693 @ SV2046 )
!= ( c_Expr_Oexp_OTryCatch @ SV2309 @ SV2477 @ SV2584 @ SV2602 @ SV2046 ) )
= $true )
| ( ( SV858 = SV2477 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4934]) ).
thf(5023,plain,
! [SV2603: $i,SV2585: $i,SV2478: $i,SV2310: $i,SV2047: $i,SV1694: $i,SV1289: $i,SV859: $i,SV419: $i] :
( ( ( ( c_Expr_Oexp_OTryCatch @ SV419 @ SV859 @ SV1289 @ SV1694 @ SV2047 )
!= ( c_Expr_Oexp_OTryCatch @ SV2310 @ SV2478 @ SV2585 @ SV2603 @ SV2047 ) )
= $true )
| ( ( SV419 = SV2310 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4935]) ).
thf(5024,plain,
! [SV2313: $i,SV2050: $i,SV2604: $i,SV1698: $i,SV1295: $i,SV870: $i,SV430: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV1698 @ SV2604 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV2050 @ SV2313 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ ( c_Expr_Oexp_OSeq @ SV1698 @ SV2050 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2313 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4936]) ).
thf(5025,plain,
! [SV2051: $i,SV872: $i,SV2605: $i,SV1699: $i,SV1296: $i,SV432: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2605 @ SV872 )
| ! [SY9712: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9712 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ ( c_Expr_Oexp_OCond @ SY9712 @ SV2605 @ SV2051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2051 @ SV872 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4937]) ).
thf(5026,plain,
! [SV1297: $i,SV2052: $i,SV1700: $i,SV2481: $i,SV874: $i,SV434: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SV2481 @ SV1700 @ SV2052 )
= $false )
| ( ( c_Map_Omap__le @ SV2481 @ SV1297 @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV434 @ SV874 @ SV1297 @ SV1700 @ SV2052 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4938]) ).
thf(5027,plain,
! [SV1703: $i,SV2482: $i,SV2055: $i,SV877: $i,SV2314: $i,SV1300: $i,SV2563: $i,SV437: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV437 @ SV2563 @ SV1300 @ ( c_Expr_Oexp_OTryCatch @ SV2314 @ SV877 @ SV2055 @ SV2482 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1703 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV437 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ SV877 @ SV1300 @ SV437 @ SV1703 @ SV2055 @ SV2314 @ SV2482 @ SV2563 ) ) @ SV1703 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4939]) ).
thf(5028,plain,
! [SV2056: $i,SV2483: $i,SV1705: $i,SV1303: $i,SV880: $i,SV440: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SV2483 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV440 @ SV1303 ) @ SV2483 ) @ SV2056 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Conform_Oconf @ SV440 @ SV880 @ SV1303 ) @ SV1705 ) @ SV2056 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4941]) ).
thf(5029,plain,
! [SV882: $i,SV2058: $i,SV1707: $i,SV1305: $i,SV2484: $i,SV442: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV442 @ SV2484 @ SV1305 @ SV1707 @ SV2058 )
= $false )
| ( ( c_Objects_Ohext @ SV2484 @ SV882 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV442 @ SV882 @ SV1305 @ SV1707 @ SV2058 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4942]) ).
thf(5030,plain,
! [SV883: $i,SV1306: $i,SV2316: $i,SV2059: $i,SV1708: $i,SV443: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2316 @ SV1306 ) )
= $true )
| ( ( ! [SY9584: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9584 @ SV883 )
| ! [SY9585: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9585 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SY9585 @ SY9584 @ SV2316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4943]) ).
thf(5031,plain,
! [SV884: $i,SV1307: $i,SV2317: $i,SV2060: $i,SV1709: $i,SV444: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2317 @ SV1307 )
= $false )
| ( ( ! [SY9586: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9586 @ SV884 )
| ! [SY9587: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9587 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SY9587 @ SY9586 @ SV2317 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4944]) ).
thf(5032,plain,
! [SV2061: $i,SV1713: $i,SV891: $i,SV2485: $i,SV1311: $i,SV452: $i,SV3: $i] :
( ( ( c_BigStep_Oeval @ SV3 @ SV452 @ SV1311 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2485 )
= $false )
| ( ( c_BigStep_Oeval @ SV3 @ SV891 @ SV2485 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2061 )
= $false )
| ( ( c_BigStep_Oeval @ SV3 @ ( c_Expr_Oexp_OWhile @ SV452 @ SV891 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1311 @ ( c_Expr_Oexp_Othrow @ SV1713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2061 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4946]) ).
thf(5033,plain,
! [SV2062: $i,SV1714: $i,SV1312: $i,SV453: $i,SV2319: $i,SV2606: $i,SV892: $i,SV6: $i] :
( ( ( ! [SY9713: $i] :
~ ( c_BigStep_Oeval @ SV6 @ SV892 @ SV2606 @ ( c_Expr_Oexp_OVal @ SY9713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 )
| ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SV1312 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2606 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 @ SV1714 @ SV2062 )
= $false )
| ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1312 @ SV1714 @ SV2062 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4947]) ).
thf(5034,plain,
! [SV1314: $i,SV1715: $i,SV455: $i,SV2320: $i,SV2063: $i,SV2564: $i,SV894: $i,SV8: $i] :
( ( ( c_BigStep_Oeval @ SV8 @ SV894 @ SV2564 @ SV2063 @ SV2320 )
= $false )
| ( ( ~ ( c_BigStep_Oeval @ SV8 @ SV455 @ SV1715 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2564 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV8 @ ( c_Expr_Oexp_OCond @ SV455 @ SV894 @ SV1314 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1715 @ SV2063 @ SV2320 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4948]) ).
thf(5035,plain,
! [SV1719: $i,SV1319: $i,SV899: $i,SV15: $i,SV2065: $i,SV2321: $i,SV2607: $i,SV460: $i] :
( ( ( ! [SY9714: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SV2607 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9714 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) )
| ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2607 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4949]) ).
thf(5036,plain,
! [SV900: $i,SV1320: $i,SV16: $i,SV2322: $i,SV2066: $i,SV1720: $i,SV2565: $i,SV461: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV461 @ SV2565 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV16 @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2565 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV16 @ SV461 @ SV900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4950]) ).
thf(5037,plain,
! [SV1773: $i,SV1387: $i,SV529: $i,SV2107: $i,SV2494: $i,SV968: $i,SV84: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV84 @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2494 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV529 @ SV2494 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV84 @ SV529 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV968 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1387 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1773 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2107 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4952]) ).
thf(5038,plain,
! [SV990: $i,SV1790: $i,SV551: $i,SV2348: $i,SV2120: $i,SV2566: $i,SV1406: $i,SV106: $i] :
( ( ( c_BigStep_Oeval @ SV106 @ SV1406 @ SV2566 @ SV2120 @ SV2348 )
= $false )
| ( ( ~ ( c_BigStep_Oeval @ SV106 @ SV551 @ SV1790 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2566 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV106 @ ( c_Expr_Oexp_OCond @ SV551 @ SV990 @ SV1406 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1790 @ SV2120 @ SV2348 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4953]) ).
thf(5039,plain,
! [SV567: $i,SV1421: $i,SV122: $i,SV2354: $i,SV2131: $i,SV1804: $i,SV2567: $i,SV1006: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV1006 @ SV2567 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV122 @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2567 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV122 @ SV567 @ SV1006 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4954]) ).
thf(5040,plain,
! [SV621: $i,SV1474: $i,SV1060: $i,SV1850: $i,SV176: $i] :
( ( ( c_Map_Omap__le @ SV176 @ SV1850 @ SV1060 @ SV1474 )
= $false )
| ( ( c_Map_Omap__le @ SV621 @ SV1850 @ SV1060 @ SV1474 )
= $false )
| ( ( c_Map_Omap__le @ SV176 @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1060 @ SV1474 )
= $false )
| ( ( c_Map_Omap__le @ ( c_Map_Omap__add @ SV176 @ SV621 @ SV1060 @ SV1474 ) @ SV1850 @ SV1060 @ SV1474 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4956]) ).
thf(5041,plain,
! [SV1062: $i,SV1852: $i,SV623: $i,SV2370: $i,SV2161: $i,SV2568: $i,SV1476: $i,SV178: $i] :
( ( ( c_BigStep_Oeval @ SV178 @ SV1476 @ SV2568 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
= $false )
| ( ( ! [SY9700: $i] :
~ ( c_BigStep_Oeval @ SV178 @ SV623 @ SV1852 @ ( c_Expr_Oexp_OVal @ SY9700 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2568 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SV623 @ SV1062 @ SV1476 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1852 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4957]) ).
thf(5042,plain,
! [SV1479: $i,SV1065: $i,SV2163: $i,SV626: $i,SV2501: $i,SV2371: $i,SV2586: $i,SV1854: $i,SV181: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV181 @ SV1854 @ SV2586 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 ) )
= $true )
| ( ( ! [SY9708: $i] :
~ ( c_BigStep_Oeval @ SV181 @ SV626 @ SV2163 @ ( c_Expr_Oexp_OVal @ SY9708 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2586 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SV1065 @ SV1479 @ SV1854 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2163 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4958]) ).
thf(5043,plain,
! [SV1073: $i,SV634: $i,SV2168: $i,SV2374: $i,SV1486: $i,SV1861: $i,SV189: $i] :
( ( ( ! [SY9614: $i] :
~ ( c_WellTypeRT_OWTrt @ SV189 @ SV1861 @ SV1486 @ SV2374 @ SY9614 ) )
= $true )
| ( ( ! [SY9615: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV2374 @ ( c_Pair @ SV1861 @ SV2168 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9615 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Conform_Olconf @ SV189 @ SV1861 @ SV2168 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $false )
| ( ( c_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SV1486 @ ( 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)],[4960]) ).
thf(5044,plain,
! [SV635: $i,SV2375: $i,SV2169: $i,SV1862: $i,SV1487: $i,SV1074: $i,SV190: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV190 @ SV1074 @ SV1487 @ SV1862 @ SV2169 ) )
= $true )
| ( ( ! [SY9616: $i,SY9617: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1862 @ ( c_Pair @ SV1074 @ SV2375 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9616 @ ( c_Pair @ SV635 @ SY9617 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $false )
| ( ( c_Conform_Ohconf @ SV190 @ SV635 @ ( 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)],[4961]) ).
thf(5045,plain,
! [SV2587: $i,SV2507: $i,SV1878: $i,SV2180: $i,SV1505: $i,SV1093: $i,SV654: $i,SV209: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ ( c_Expr_Oexp_OFAss @ SV1505 @ SV2180 @ SV1878 @ SV2507 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2587 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ SV1878 @ SV1093 @ SV2180 @ SV209 @ SV1505 @ SV654 @ SV2507 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV209 @ SV654 @ SV1093 @ SV1505 @ c_Type_Oty_ONT )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4966]) ).
thf(5046,plain,
! [SV1099: $i,SV2384: $i,SV1510: $i,SV1883: $i,SV660: $i,SV215: $i,SV2184: $i] :
( ( ( hBOOL @ ( hAPP @ SV2184 @ SV215 ) )
= $false )
| ( ( c_in @ ( c_Pair @ SV660 @ SV1883 @ SV1510 @ SV1510 ) @ ( hAPP @ SV2384 @ SV215 ) @ ( tc_prod @ SV1510 @ SV1510 ) )
= $false )
| ( ( c_in @ ( c_Pair @ ( c_Pair @ SV215 @ SV660 @ SV1099 @ SV1510 ) @ ( c_Pair @ SV215 @ SV1883 @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) @ ( c_Recdef_Osame__fst @ SV2184 @ SV2384 @ SV1099 @ SV1510 ) @ ( tc_prod @ ( tc_prod @ SV1099 @ SV1510 ) @ ( tc_prod @ SV1099 @ SV1510 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4967]) ).
thf(5047,plain,
! [SV1511: $i,SV2569: $i,SV661: $i,SV2185: $i,SV1100: $i,SV2508: $i,SV216: $i,SV1884: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV1884 @ SV216 @ SV2508 @ SV1100 ) @ ( c_Pair @ SV2185 @ SV661 @ SV2508 @ SV1100 ) @ ( tc_prod @ SV2508 @ SV1100 ) @ ( tc_prod @ SV2508 @ SV1100 ) ) @ ( c_Wellfounded_Olex__prod @ SV2569 @ SV1511 @ SV2508 @ SV1100 ) @ ( tc_prod @ ( tc_prod @ SV2508 @ SV1100 ) @ ( tc_prod @ SV2508 @ SV1100 ) ) )
= $false )
| ( ( c_in @ ( c_Pair @ SV1884 @ SV2185 @ SV2508 @ SV2508 ) @ SV2569 @ ( tc_prod @ SV2508 @ SV2508 ) )
= $true )
| ( ( c_in @ ( c_Pair @ SV216 @ SV661 @ SV1100 @ SV1100 ) @ SV1511 @ ( tc_prod @ SV1100 @ SV1100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4968]) ).
thf(5048,plain,
! [SV2588: $i,SV1514: $i,SV2571: $i,SV664: $i,SV2188: $i,SV1103: $i,SV1887: $i,SV219: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV219 @ SV1887 @ SV1103 @ SV2188 ) @ ( c_Pair @ SV664 @ SV2571 @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) ) @ ( c_Wellfounded_Olex__prod @ SV1514 @ SV2588 @ SV1103 @ SV2188 ) @ ( tc_prod @ ( tc_prod @ SV1103 @ SV2188 ) @ ( tc_prod @ SV1103 @ SV2188 ) ) )
= $false )
| ( ( c_in @ ( c_Pair @ SV219 @ SV664 @ SV1103 @ SV1103 ) @ SV1514 @ ( tc_prod @ SV1103 @ SV1103 ) )
= $true )
| ( ( SV219 = SV664 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4970]) ).
thf(5049,plain,
! [SV2387: $i,SV1888: $i,SV220: $i,SV1104: $i,SV665: $i,SV2189: $i,SV1515: $i] :
( ( ( c_in @ ( c_Pair @ SV1515 @ SV2189 @ SV665 @ SV1104 ) @ SV220 @ ( tc_prod @ SV665 @ SV1104 ) )
= $false )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ SV1888 @ SV2387 @ SV665 @ SV1104 )
= $false )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV220 @ SV665 @ SV1104 ) @ ( c_List_Olist_OCons @ SV1515 @ SV1888 @ SV665 ) @ ( c_List_Olist_OCons @ SV2189 @ SV2387 @ SV1104 ) @ SV665 @ SV1104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4971]) ).
thf(5050,plain,
! [SV2388: $i,SV1889: $i,SV221: $i,SV1105: $i,SV666: $i,SV2190: $i,SV1516: $i] :
( ( ( c_in @ ( c_Pair @ SV1516 @ SV2190 @ SV666 @ SV1105 ) @ SV221 @ ( tc_prod @ SV666 @ SV1105 ) )
= $false )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ SV1889 @ SV2388 @ SV666 @ SV1105 )
= $false )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV221 @ SV666 @ SV1105 ) @ ( c_List_Olist_OCons @ SV1516 @ SV1889 @ SV666 ) @ ( c_List_Olist_OCons @ SV2190 @ SV2388 @ SV1105 ) @ SV666 @ SV1105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4972]) ).
thf(5051,plain,
! [SV2389: $i,SV1890: $i,SV222: $i,SV1106: $i,SV667: $i,SV2191: $i,SV1517: $i] :
( ( ( c_in @ ( c_Pair @ SV1517 @ SV2191 @ SV667 @ SV1106 ) @ SV222 @ ( tc_prod @ SV667 @ SV1106 ) )
= $false )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ SV1890 @ SV2389 @ SV667 @ SV1106 )
= $false )
| ( ( c_List_Olist__all2 @ ( c_Aux_Ofun__of @ SV222 @ SV667 @ SV1106 ) @ ( c_List_Olist_OCons @ SV1517 @ SV1890 @ SV667 ) @ ( c_List_Olist_OCons @ SV2191 @ SV2389 @ SV1106 ) @ SV667 @ SV1106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4973]) ).
thf(5052,plain,
! [SV1108: $i,SV669: $i,SV1892: $i,SV224: $i,SV2510: $i,SV2391: $i,SV2192: $i,SV2589: $i,SV1519: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1519 @ SV2589 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9709: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9709 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2589 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SV1108 @ SV1519 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4974]) ).
thf(5053,plain,
! [SV670: $i,SV1520: $i,SV225: $i,SV2392: $i,SV2193: $i,SV1893: $i,SV2572: $i,SV1109: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV1109 @ SV2572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9702: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9702 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SV670 @ SV1109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[4975]) ).
thf(5054,plain,
! [SV1908: $i,SV1538: $i,SV692: $i,SV2207: $i,SV2513: $i,SV2608: $i,SV1130: $i,SV247: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV247 @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2513 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV692 @ SV2513 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV247 @ SV692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[4978]) ).
thf(5055,plain,
! [SV1132: $i,SV2590: $i,SV1910: $i,SV694: $i,SV1540: $i,SV249: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV249 @ ( c_State_Ohp @ SV1540 ) @ SV694 @ SV1910 @ SV2590 )
= $false )
| ( ( ! [SY9067: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1910 @ SV1540 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9067 @ SV1132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1540 )
= $false )
| ( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4980]) ).
thf(5056,plain,
! [SV2518: $i,SV1922: $i,SV2591: $i,SV1554: $i,SV1146: $i,SV708: $i,SV263: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1554 @ SV2591 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ SV1922 @ SV2518 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV263 @ SV708 @ SV1146 @ ( c_Expr_Oexp_OBinOp @ SV1554 @ c_Expr_Obop_OEq @ SV1922 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4982]) ).
thf(5057,plain,
! [SV2592: $i,SV2573: $i,SV2418: $i,SV2236: $i,SV1942: $i,SV1575: $i,SV1169: $i,SV731: $i,SV288: $i] :
( ( ( ( c_Expr_Oexp_OFAss @ SV288 @ SV731 @ SV1169 @ SV1575 @ SV1942 )
= ( c_Expr_Oexp_OFAss @ SV2236 @ SV2418 @ SV2573 @ SV2592 @ SV1942 ) )
= $false )
| ( ( SV288 = SV2236 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4985]) ).
thf(5058,plain,
! [SV2593: $i,SV2574: $i,SV2419: $i,SV2237: $i,SV1943: $i,SV1576: $i,SV1170: $i,SV732: $i,SV289: $i] :
( ( ( ( c_Expr_Oexp_OFAss @ SV289 @ SV732 @ SV1170 @ SV1576 @ SV1943 )
= ( c_Expr_Oexp_OFAss @ SV2237 @ SV2419 @ SV2574 @ SV2593 @ SV1943 ) )
= $false )
| ( ( SV732 = SV2419 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4986]) ).
thf(5059,plain,
! [SV2594: $i,SV2525: $i,SV2420: $i,SV2238: $i,SV1944: $i,SV1577: $i,SV1171: $i,SV733: $i,SV290: $i] :
( ( ( ( c_Expr_Oexp_OFAss @ SV290 @ SV733 @ SV1171 @ SV1577 @ SV1944 )
= ( c_Expr_Oexp_OFAss @ SV2238 @ SV2420 @ SV2525 @ SV2594 @ SV1944 ) )
= $false )
| ( ( SV1171 = SV2525 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4987]) ).
thf(5060,plain,
! [SV2575: $i,SV2526: $i,SV2421: $i,SV2239: $i,SV1945: $i,SV1578: $i,SV1172: $i,SV734: $i,SV291: $i] :
( ( ( ( c_Expr_Oexp_OFAss @ SV291 @ SV734 @ SV1172 @ SV1578 @ SV1945 )
= ( c_Expr_Oexp_OFAss @ SV2239 @ SV2421 @ SV2526 @ SV2575 @ SV1945 ) )
= $false )
| ( ( SV1578 = SV2575 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4988]) ).
thf(5061,plain,
! [SV2424: $i,SV1582: $i,SV2242: $i,SV1176: $i,SV1949: $i,SV738: $i,SV295: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV295 @ SV738 ) @ SV1949 ) )
= $false )
| ( ( c_List_Olist__all2 @ SV295 @ SV1176 @ SV2242 @ SV1582 @ SV2424 )
= $false )
| ( ( c_List_Olist__all2 @ SV295 @ ( c_List_Olist_OCons @ SV738 @ SV1176 @ SV1582 ) @ ( c_List_Olist_OCons @ SV1949 @ SV2242 @ SV2424 ) @ SV1582 @ SV2424 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4989]) ).
thf(5062,plain,
! [SV2425: $i,SV1583: $i,SV2243: $i,SV1177: $i,SV1950: $i,SV739: $i,SV296: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV296 @ SV739 ) @ SV1950 ) )
= $false )
| ( ( c_List_Olist__all2 @ SV296 @ SV1177 @ SV2243 @ SV1583 @ SV2425 )
= $false )
| ( ( c_List_Olist__all2 @ SV296 @ ( c_List_Olist_OCons @ SV739 @ SV1177 @ SV1583 ) @ ( c_List_Olist_OCons @ SV1950 @ SV2243 @ SV2425 ) @ SV1583 @ SV2425 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4990]) ).
thf(5063,plain,
! [SV2426: $i,SV1584: $i,SV2244: $i,SV1178: $i,SV1951: $i,SV740: $i,SV297: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV297 @ SV740 ) @ SV1951 ) )
= $false )
| ( ( c_List_Olist__all2 @ SV297 @ SV1178 @ SV2244 @ SV1584 @ SV2426 )
= $false )
| ( ( c_List_Olist__all2 @ SV297 @ ( c_List_Olist_OCons @ SV740 @ SV1178 @ SV1584 ) @ ( c_List_Olist_OCons @ SV1951 @ SV2244 @ SV2426 ) @ SV1584 @ SV2426 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4991]) ).
thf(5064,plain,
! [SV2537: $i,SV1970: $i,SV2595: $i,SV1603: $i,SV1197: $i,SV760: $i,SV317: $i] :
( ( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1603 @ SV2595 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ SV1970 @ SV2537 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV317 @ SV760 @ SV1197 @ ( c_Expr_Oexp_OBinOp @ SV1603 @ c_Expr_Obop_OEq @ SV1970 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4996]) ).
thf(5065,plain,
! [SV798: $i,SV1233: $i,SV2280: $i,SV1999: $i,SV1636: $i,SV357: $i] :
( ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2280 @ SV1233 )
= $false )
| ( ( ! [SY9543: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9543 @ SV798 )
| ! [SY9544: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9544 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SY9544 @ SY9543 @ SV2280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5001]) ).
thf(5066,plain,
! [SV1234: $i,SV2281: $i,SV799: $i,SV2609: $i,SV2000: $i,SV1637: $i,SV358: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2609 @ SV799 )
| ! [SY9715: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9715 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SY9715 @ SV2609 @ SV2281 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2281 @ SV1234 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5002]) ).
thf(5067,plain,
! [SV2287: $i,SV1245: $i,SV2460: $i,SV1649: $i,SV813: $i,SV373: $i] :
( ( ( c_WellType_OWT @ SV373 @ SV813 @ SV1649 @ SV2460 )
= $false )
| ( ( ~ ( c_WellType_OWT @ SV373 @ SV813 @ SV1245 @ SV2287 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV373 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2287 ) @ SV2460 ) )
= $false )
| ( ( c_WellType_OWT @ SV373 @ SV813 @ ( c_Expr_Oexp_OBinOp @ SV1245 @ c_Expr_Obop_OEq @ SV1649 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5005]) ).
thf(5068,plain,
! [SV2461: $i,SV1246: $i,SV2288: $i,SV1650: $i,SV814: $i,SV374: $i] :
( ( ( c_WellType_OWT @ SV374 @ SV814 @ SV1650 @ SV2288 )
= $false )
| ( ( ~ ( c_WellType_OWT @ SV374 @ SV814 @ SV1246 @ SV2461 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV374 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2288 ) @ SV2461 ) )
= $false )
| ( ( c_WellType_OWT @ SV374 @ SV814 @ ( c_Expr_Oexp_OBinOp @ SV1246 @ c_Expr_Obop_OEq @ SV1650 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5006]) ).
thf(5069,plain,
! [SV377: $i,SV2011: $i,SV1653: $i,SV2596: $i,SV817: $i,SV2290: $i,SV1249: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV1249 @ SV2290 @ SV817 @ ( c_Expr_Oexp_OCond @ SV2596 @ SV1653 @ SV2011 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV377 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1249 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) ) )
= $false )
| ( ( SV377
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV817 @ SV1249 @ SV377 @ SV1653 @ SV2011 @ SV2290 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5007]) ).
thf(5070,plain,
! [SV1654: $i,SV818: $i,SV2579: $i,SV1250: $i,SV378: $i] :
( ( ( c_WellType_OWT @ SV378 @ SV1250 @ SV2579 @ SV818 )
= $false )
| ( ( ! [SY9705: $i] :
( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SY9705 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV378 @ SV1250 @ ( c_Expr_Oexp_OCond @ SY9705 @ SV2579 @ SV1654 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 ) ) )
= $true )
| ( ( c_WellType_OWT @ SV378 @ SV1250 @ SV1654 @ SV818 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5008]) ).
thf(5071,plain,
! [SV2013: $i,SV823: $i,SV2597: $i,SV1658: $i,SV1255: $i,SV383: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2597 @ SV823 ) )
= $true )
| ( ( ! [SY9710: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9710 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ ( c_Expr_Oexp_OCond @ SY9710 @ SV2597 @ SV2013 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 ) ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2013 @ SV823 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5009]) ).
thf(5072,plain,
! [SV1268: $i,SV2026: $i,SV838: $i,SV2598: $i,SV1673: $i,SV398: $i] :
( ( ( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SV2598 @ SV838 ) )
= $true )
| ( ( ! [SY9711: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9711 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SY9711 @ SV2598 @ SV2026 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) ) )
= $true )
| ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2026 @ SV1268 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5013]) ).
thf(5073,plain,
! [SV1269: $i,SV2027: $i,SV839: $i,SV2610: $i,SV1674: $i,SV399: $i] :
( ( ( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SV2610 @ SV839 )
| ! [SY9716: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9716 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SY9716 @ SV2610 @ SV2027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) ) )
= $true )
| ( ( c_WellType_OWT @ SV399 @ SV1674 @ SV2027 @ SV1269 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5014]) ).
thf(5074,plain,
! [SV2300: $i,SV2028: $i,SV1270: $i,SV2556: $i,SV2611: $i,SV1675: $i,SV840: $i,SV400: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV400 @ SV840 @ SV1675 @ ( c_Expr_Oexp_OVal @ SV2611 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2556 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV400 @ SV1270 @ SV2556 @ SV2028 @ SV2300 )
= $false )
| ( ( c_BigStep_Oeval @ SV400 @ ( c_Expr_Oexp_OSeq @ SV840 @ SV1270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1675 @ SV2028 @ SV2300 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5015]) ).
thf(5075,plain,
! [SV2301: $i,SV2029: $i,SV2599: $i,SV1676: $i,SV1271: $i,SV841: $i,SV401: $i] :
( ( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV1676 @ SV2599 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ SV2029 @ SV2301 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV401 @ SV841 @ SV1271 @ ( c_Expr_Oexp_OSeq @ SV1676 @ SV2029 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2301 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5016]) ).
thf(5076,plain,
! [SV406: $i,SV2034: $i,SV1681: $i,SV2600: $i,SV846: $i,SV2302: $i,SV1276: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV1276 @ SV2302 @ SV846 @ ( c_Expr_Oexp_OCond @ SV2600 @ SV1681 @ SV2034 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV406 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV1276 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) ) )
= $false )
| ( ( SV406
= ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 @ SV846 @ SV1276 @ SV406 @ SV1681 @ SV2034 @ SV2302 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5017]) ).
thf(5077,plain,
! [SV2583: $i,SV2561: $i,SV2475: $i,SV2307: $i,SV2044: $i,SV1691: $i,SV1286: $i,SV856: $i,SV416: $i] :
( ( ( ( c_Expr_Oexp_OTryCatch @ SV416 @ SV856 @ SV1286 @ SV1691 @ SV2044 )
= ( c_Expr_Oexp_OTryCatch @ SV2307 @ SV2475 @ SV2561 @ SV2583 @ SV2044 ) )
= $false )
| ( ( SV1691 = SV2583 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5020]) ).
thf(5078,plain,
! [SV2601: $i,SV2562: $i,SV2476: $i,SV2308: $i,SV2045: $i,SV1692: $i,SV1287: $i,SV857: $i,SV417: $i] :
( ( ( ( c_Expr_Oexp_OTryCatch @ SV417 @ SV857 @ SV1287 @ SV1692 @ SV2045 )
= ( c_Expr_Oexp_OTryCatch @ SV2308 @ SV2476 @ SV2562 @ SV2601 @ SV2045 ) )
= $false )
| ( ( SV1287 = SV2562 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5021]) ).
thf(5079,plain,
! [SV2602: $i,SV2584: $i,SV2477: $i,SV2309: $i,SV2046: $i,SV1693: $i,SV1288: $i,SV858: $i,SV418: $i] :
( ( ( ( c_Expr_Oexp_OTryCatch @ SV418 @ SV858 @ SV1288 @ SV1693 @ SV2046 )
= ( c_Expr_Oexp_OTryCatch @ SV2309 @ SV2477 @ SV2584 @ SV2602 @ SV2046 ) )
= $false )
| ( ( SV858 = SV2477 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5022]) ).
thf(5080,plain,
! [SV2603: $i,SV2585: $i,SV2478: $i,SV2310: $i,SV2047: $i,SV1694: $i,SV1289: $i,SV859: $i,SV419: $i] :
( ( ( ( c_Expr_Oexp_OTryCatch @ SV419 @ SV859 @ SV1289 @ SV1694 @ SV2047 )
= ( c_Expr_Oexp_OTryCatch @ SV2310 @ SV2478 @ SV2585 @ SV2603 @ SV2047 ) )
= $false )
| ( ( SV419 = SV2310 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5023]) ).
thf(5081,plain,
! [SV2313: $i,SV2050: $i,SV2604: $i,SV1698: $i,SV1295: $i,SV870: $i,SV430: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV1698 @ SV2604 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ SV2050 @ SV2313 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV430 @ SV870 @ SV1295 @ ( c_Expr_Oexp_OSeq @ SV1698 @ SV2050 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2313 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5024]) ).
thf(5082,plain,
! [SV2051: $i,SV872: $i,SV2605: $i,SV1699: $i,SV1296: $i,SV432: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2605 @ SV872 ) )
= $true )
| ( ( ! [SY9712: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9712 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ ( c_Expr_Oexp_OCond @ SY9712 @ SV2605 @ SV2051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2051 @ SV872 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5025]) ).
thf(5083,plain,
! [SV883: $i,SV1306: $i,SV2316: $i,SV2059: $i,SV1708: $i,SV443: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2316 @ SV1306 )
= $false )
| ( ( ! [SY9584: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9584 @ SV883 )
| ! [SY9585: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9585 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SY9585 @ SY9584 @ SV2316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5030]) ).
thf(5084,plain,
! [SV1307: $i,SV2317: $i,SV884: $i,SV2612: $i,SV2060: $i,SV1709: $i,SV444: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2612 @ SV884 )
| ! [SY9717: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9717 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SY9717 @ SV2612 @ SV2317 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2317 @ SV1307 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5031]) ).
thf(5085,plain,
! [SV2062: $i,SV1714: $i,SV1312: $i,SV453: $i,SV2319: $i,SV2606: $i,SV892: $i,SV6: $i] :
( ( ( ! [SY9713: $i] :
~ ( c_BigStep_Oeval @ SV6 @ SV892 @ SV2606 @ ( c_Expr_Oexp_OVal @ SY9713 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 ) )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SV1312 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2606 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 @ SV1714 @ SV2062 )
= $false )
| ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1312 @ SV1714 @ SV2062 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5033]) ).
thf(5086,plain,
! [SV1314: $i,SV2320: $i,SV2063: $i,SV894: $i,SV2564: $i,SV1715: $i,SV455: $i,SV8: $i] :
( ( ( c_BigStep_Oeval @ SV8 @ SV455 @ SV1715 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2564 )
= $false )
| ( ( c_BigStep_Oeval @ SV8 @ SV894 @ SV2564 @ SV2063 @ SV2320 )
= $false )
| ( ( c_BigStep_Oeval @ SV8 @ ( c_Expr_Oexp_OCond @ SV455 @ SV894 @ SV1314 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1715 @ SV2063 @ SV2320 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5034]) ).
thf(5087,plain,
! [SV1719: $i,SV1319: $i,SV899: $i,SV15: $i,SV2065: $i,SV2321: $i,SV2607: $i,SV460: $i] :
( ( ( ! [SY9714: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SV2607 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9714 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2607 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[5035]) ).
thf(5088,plain,
! [SV900: $i,SV2066: $i,SV1720: $i,SV461: $i,SV2322: $i,SV2565: $i,SV1320: $i,SV16: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV16 @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2565 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV461 @ SV2565 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV16 @ SV461 @ SV900 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1320 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1720 @ SV2066 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2322 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[5036]) ).
thf(5089,plain,
! [SV990: $i,SV2348: $i,SV2120: $i,SV1406: $i,SV2566: $i,SV1790: $i,SV551: $i,SV106: $i] :
( ( ( c_BigStep_Oeval @ SV106 @ SV551 @ SV1790 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2566 )
= $false )
| ( ( c_BigStep_Oeval @ SV106 @ SV1406 @ SV2566 @ SV2120 @ SV2348 )
= $false )
| ( ( c_BigStep_Oeval @ SV106 @ ( c_Expr_Oexp_OCond @ SV551 @ SV990 @ SV1406 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1790 @ SV2120 @ SV2348 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5038]) ).
thf(5090,plain,
! [SV567: $i,SV2131: $i,SV1804: $i,SV1006: $i,SV2354: $i,SV2567: $i,SV1421: $i,SV122: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV122 @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_False ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2567 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV1006 @ SV2567 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OCond @ SV122 @ SV567 @ SV1006 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1421 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1804 @ SV2131 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2354 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[5039]) ).
thf(5091,plain,
! [SV1062: $i,SV2370: $i,SV2161: $i,SV1476: $i,SV2568: $i,SV2613: $i,SV1852: $i,SV623: $i,SV178: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV178 @ SV623 @ SV1852 @ ( c_Expr_Oexp_OVal @ SV2613 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2568 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV178 @ SV1476 @ SV2568 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
= $false )
| ( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SV623 @ SV1062 @ SV1476 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1852 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5041]) ).
thf(5092,plain,
! [SV1479: $i,SV1065: $i,SV2163: $i,SV626: $i,SV2501: $i,SV2371: $i,SV2586: $i,SV1854: $i,SV181: $i] :
( ( ( c_BigStep_Oeval @ SV181 @ SV1854 @ SV2586 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
= $false )
| ( ( ! [SY9708: $i] :
~ ( c_BigStep_Oeval @ SV181 @ SV626 @ SV2163 @ ( c_Expr_Oexp_OVal @ SY9708 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2586 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SV1065 @ SV1479 @ SV1854 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2163 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5042]) ).
thf(5093,plain,
! [SV1073: $i,SV634: $i,SV2168: $i,SV2614: $i,SV2374: $i,SV1486: $i,SV1861: $i,SV189: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV189 @ SV1861 @ SV1486 @ SV2374 @ SV2614 ) )
= $true )
| ( ( ! [SY9615: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV2374 @ ( c_Pair @ SV1861 @ SV2168 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9615 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Conform_Olconf @ SV189 @ SV1861 @ SV2168 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $false )
| ( ( c_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SV1486 @ ( 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)],[5043]) ).
thf(5094,plain,
! [SV635: $i,SV2375: $i,SV2169: $i,SV1862: $i,SV1487: $i,SV1074: $i,SV190: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV190 @ SV1074 @ SV1487 @ SV1862 @ SV2169 )
= $false )
| ( ( ! [SY9616: $i,SY9617: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1862 @ ( c_Pair @ SV1074 @ SV2375 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9616 @ ( c_Pair @ SV635 @ SY9617 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $false )
| ( ( c_Conform_Ohconf @ SV190 @ SV635 @ ( 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)],[5044]) ).
thf(5095,plain,
! [SV1108: $i,SV669: $i,SV1892: $i,SV224: $i,SV2510: $i,SV2391: $i,SV2192: $i,SV2589: $i,SV1519: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV1519 @ SV2589 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 )
| ( ( ! [SY9709: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SY9709 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2589 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SV1108 @ SV1519 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[5052]) ).
thf(5096,plain,
! [SV670: $i,SV2193: $i,SV1893: $i,SV1109: $i,SV2392: $i,SV2572: $i,SV2615: $i,SV1520: $i,SV225: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2615 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV1109 @ SV2572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SV670 @ SV1109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[5053]) ).
thf(5097,plain,
! [SV1908: $i,SV1538: $i,SV692: $i,SV2207: $i,SV2513: $i,SV2608: $i,SV1130: $i,SV247: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV247 @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2608 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2513 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV692 @ SV2513 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OSeq @ SV247 @ SV692 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1130 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1538 @ SV1908 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2207 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[5054]) ).
thf(5098,plain,
! [SV2590: $i,SV694: $i,SV249: $i,SV1132: $i,SV2616: $i,SV1540: $i,SV1910: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1910 @ SV1540 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2616 @ SV1132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 @ SV249 @ ( c_State_Ohp @ SV1540 ) @ SV694 @ SV1910 @ SV2590 )
= $false )
| ( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1540 )
= $false )
| ( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1132 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5055]) ).
thf(5099,plain,
! [SV1233: $i,SV2280: $i,SV798: $i,SV2617: $i,SV1999: $i,SV1636: $i,SV357: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2617 @ SV798 )
| ! [SY9718: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9718 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SY9718 @ SV2617 @ SV2280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2280 @ SV1233 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5065]) ).
thf(5100,plain,
! [SV1234: $i,SV2281: $i,SV799: $i,SV2609: $i,SV2000: $i,SV1637: $i,SV358: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2609 @ SV799 ) )
= $true )
| ( ( ! [SY9715: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9715 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SY9715 @ SV2609 @ SV2281 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2281 @ SV1234 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5066]) ).
thf(5101,plain,
! [SV2460: $i,SV1649: $i,SV2287: $i,SV1245: $i,SV813: $i,SV373: $i] :
( ( ( c_WellType_OWT @ SV373 @ SV813 @ SV1245 @ SV2287 )
= $false )
| ( ( c_WellType_OWT @ SV373 @ SV813 @ SV1649 @ SV2460 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV373 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2287 ) @ SV2460 ) )
= $false )
| ( ( c_WellType_OWT @ SV373 @ SV813 @ ( c_Expr_Oexp_OBinOp @ SV1245 @ c_Expr_Obop_OEq @ SV1649 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5067]) ).
thf(5102,plain,
! [SV2288: $i,SV1650: $i,SV2461: $i,SV1246: $i,SV814: $i,SV374: $i] :
( ( ( c_WellType_OWT @ SV374 @ SV814 @ SV1246 @ SV2461 )
= $false )
| ( ( c_WellType_OWT @ SV374 @ SV814 @ SV1650 @ SV2288 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV374 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV2288 ) @ SV2461 ) )
= $false )
| ( ( c_WellType_OWT @ SV374 @ SV814 @ ( c_Expr_Oexp_OBinOp @ SV1246 @ c_Expr_Obop_OEq @ SV1650 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OBoolean )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5068]) ).
thf(5103,plain,
! [SV818: $i,SV1654: $i,SV2579: $i,SV2618: $i,SV1250: $i,SV378: $i] :
( ( ( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SV2618 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV378 @ SV1250 @ ( c_Expr_Oexp_OCond @ SV2618 @ SV2579 @ SV1654 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 ) )
= $true )
| ( ( c_WellType_OWT @ SV378 @ SV1250 @ SV2579 @ SV818 )
= $false )
| ( ( c_WellType_OWT @ SV378 @ SV1250 @ SV1654 @ SV818 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5070]) ).
thf(5104,plain,
! [SV2013: $i,SV823: $i,SV2597: $i,SV1658: $i,SV1255: $i,SV383: $i] :
( ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2597 @ SV823 )
= $false )
| ( ( ! [SY9710: $i] :
( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SY9710 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ ( c_Expr_Oexp_OCond @ SY9710 @ SV2597 @ SV2013 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 ) ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2013 @ SV823 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5071]) ).
thf(5105,plain,
! [SV1268: $i,SV2026: $i,SV838: $i,SV2598: $i,SV1673: $i,SV398: $i] :
( ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2598 @ SV838 )
= $false )
| ( ( ! [SY9711: $i] :
( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SY9711 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SY9711 @ SV2598 @ SV2026 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) ) )
= $true )
| ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2026 @ SV1268 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5072]) ).
thf(5106,plain,
! [SV1269: $i,SV2027: $i,SV839: $i,SV2610: $i,SV1674: $i,SV399: $i] :
( ( ( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SV2610 @ SV839 ) )
= $true )
| ( ( ! [SY9716: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9716 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SY9716 @ SV2610 @ SV2027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) ) )
= $true )
| ( ( c_WellType_OWT @ SV399 @ SV1674 @ SV2027 @ SV1269 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5073]) ).
thf(5107,plain,
! [SV2300: $i,SV2028: $i,SV1270: $i,SV2556: $i,SV2611: $i,SV1675: $i,SV840: $i,SV400: $i] :
( ( ( c_BigStep_Oeval @ SV400 @ SV840 @ SV1675 @ ( c_Expr_Oexp_OVal @ SV2611 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2556 )
= $false )
| ( ( c_BigStep_Oeval @ SV400 @ SV1270 @ SV2556 @ SV2028 @ SV2300 )
= $false )
| ( ( c_BigStep_Oeval @ SV400 @ ( c_Expr_Oexp_OSeq @ SV840 @ SV1270 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1675 @ SV2028 @ SV2300 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5074]) ).
thf(5108,plain,
! [SV2051: $i,SV872: $i,SV2605: $i,SV1699: $i,SV1296: $i,SV432: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2605 @ SV872 )
= $false )
| ( ( ! [SY9712: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SY9712 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ ( c_Expr_Oexp_OCond @ SY9712 @ SV2605 @ SV2051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2051 @ SV872 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5082]) ).
thf(5109,plain,
! [SV1306: $i,SV2316: $i,SV883: $i,SV2619: $i,SV2059: $i,SV1708: $i,SV443: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2619 @ SV883 )
| ! [SY9719: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9719 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SY9719 @ SV2619 @ SV2316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2316 @ SV1306 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5083]) ).
thf(5110,plain,
! [SV1307: $i,SV2317: $i,SV884: $i,SV2612: $i,SV2060: $i,SV1709: $i,SV444: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2612 @ SV884 ) )
= $true )
| ( ( ! [SY9717: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9717 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SY9717 @ SV2612 @ SV2317 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2317 @ SV1307 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5084]) ).
thf(5111,plain,
! [SV2062: $i,SV1714: $i,SV1312: $i,SV453: $i,SV2319: $i,SV2620: $i,SV2606: $i,SV892: $i,SV6: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV6 @ SV892 @ SV2606 @ ( c_Expr_Oexp_OVal @ SV2620 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 ) )
= $true )
| ( ( ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SV1312 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2606 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 @ SV1714 @ SV2062 )
= $false )
| ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1312 @ SV1714 @ SV2062 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5085]) ).
thf(5112,plain,
! [SV1719: $i,SV1319: $i,SV899: $i,SV15: $i,SV2065: $i,SV2321: $i,SV2621: $i,SV2607: $i,SV460: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SV2607 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2607 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[5087]) ).
thf(5113,plain,
! [SV1062: $i,SV2370: $i,SV2161: $i,SV1476: $i,SV2568: $i,SV2613: $i,SV1852: $i,SV623: $i,SV178: $i] :
( ( ( c_BigStep_Oeval @ SV178 @ SV623 @ SV1852 @ ( c_Expr_Oexp_OVal @ SV2613 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2568 )
= $false )
| ( ( c_BigStep_Oeval @ SV178 @ SV1476 @ SV2568 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
= $false )
| ( ( c_BigStep_Oeval @ SV178 @ ( c_Expr_Oexp_OBinOp @ SV623 @ SV1062 @ SV1476 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1852 @ ( c_Expr_Oexp_Othrow @ SV2161 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2370 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5091]) ).
thf(5114,plain,
! [SV1479: $i,SV1065: $i,SV2501: $i,SV2371: $i,SV1854: $i,SV2586: $i,SV2622: $i,SV2163: $i,SV626: $i,SV181: $i] :
( ( ( ~ ( c_BigStep_Oeval @ SV181 @ SV626 @ SV2163 @ ( c_Expr_Oexp_OVal @ SV2622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2586 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV181 @ SV1854 @ SV2586 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
= $false )
| ( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SV1065 @ SV1479 @ SV1854 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2163 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5092]) ).
thf(5115,plain,
! [SV1073: $i,SV634: $i,SV2168: $i,SV2614: $i,SV2374: $i,SV1486: $i,SV1861: $i,SV189: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV189 @ SV1861 @ SV1486 @ SV2374 @ SV2614 )
= $false )
| ( ( ! [SY9615: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV2374 @ ( c_Pair @ SV1861 @ SV2168 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SY9615 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_Conform_Olconf @ SV189 @ SV1861 @ SV2168 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $false )
| ( ( c_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SV1486 @ ( 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)],[5093]) ).
thf(5116,plain,
! [SV2169: $i,SV1487: $i,SV190: $i,SV635: $i,SV2623: $i,SV2375: $i,SV1074: $i,SV1862: $i] :
( ( ( ! [SY9720: $i] :
~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1862 @ ( c_Pair @ SV1074 @ SV2375 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2623 @ ( c_Pair @ SV635 @ SY9720 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 @ SV190 @ SV1074 @ SV1487 @ SV1862 @ SV2169 )
= $false )
| ( ( c_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $false )
| ( ( c_Conform_Ohconf @ SV190 @ SV635 @ ( 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)],[5094]) ).
thf(5117,plain,
! [SV1108: $i,SV669: $i,SV2391: $i,SV2192: $i,SV1519: $i,SV2510: $i,SV2589: $i,SV2624: $i,SV1892: $i,SV224: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2624 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2589 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV1519 @ SV2589 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SV1108 @ SV1519 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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)],[5095]) ).
thf(5118,plain,
! [SV670: $i,SV2193: $i,SV1893: $i,SV1109: $i,SV2392: $i,SV2572: $i,SV2615: $i,SV1520: $i,SV225: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV225 @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2615 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV1109 @ SV2572 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OBinOp @ SV225 @ SV670 @ SV1109 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1520 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV1893 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2193 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2392 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[5096]) ).
thf(5119,plain,
! [SV2590: $i,SV694: $i,SV249: $i,SV1132: $i,SV2616: $i,SV1540: $i,SV1910: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV1910 @ SV1540 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2616 @ SV1132 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV249 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 @ SV249 @ ( c_State_Ohp @ SV1540 ) @ SV694 @ SV1910 @ SV2590 )
= $false )
| ( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1540 )
= $false )
| ( ( c_TypeSafe__Mirabelle_Osconf @ SV249 @ SV694 @ SV1132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5098]) ).
thf(5120,plain,
! [SV1233: $i,SV2280: $i,SV798: $i,SV2617: $i,SV1999: $i,SV1636: $i,SV357: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2617 @ SV798 ) )
= $true )
| ( ( ! [SY9718: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9718 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SY9718 @ SV2617 @ SV2280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2280 @ SV1233 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5099]) ).
thf(5121,plain,
! [SV1234: $i,SV2281: $i,SV799: $i,SV2609: $i,SV2000: $i,SV1637: $i,SV358: $i] :
( ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2609 @ SV799 )
= $false )
| ( ( ! [SY9715: $i] :
( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SY9715 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SY9715 @ SV2609 @ SV2281 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2281 @ SV1234 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5100]) ).
thf(5122,plain,
! [SV818: $i,SV1654: $i,SV2579: $i,SV2618: $i,SV1250: $i,SV378: $i] :
( ( ( ~ ( c_WellType_OWT @ SV378 @ SV1250 @ SV2618 @ c_Type_Oty_OBoolean ) )
= $true )
| ( ( c_WellType_OWT @ SV378 @ SV1250 @ ( c_Expr_Oexp_OCond @ SV2618 @ SV2579 @ SV1654 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 )
= $true )
| ( ( c_WellType_OWT @ SV378 @ SV1250 @ SV2579 @ SV818 )
= $false )
| ( ( c_WellType_OWT @ SV378 @ SV1250 @ SV1654 @ SV818 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5103]) ).
thf(5123,plain,
! [SV823: $i,SV2013: $i,SV2597: $i,SV2625: $i,SV1658: $i,SV1255: $i,SV383: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2625 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ ( c_Expr_Oexp_OCond @ SV2625 @ SV2597 @ SV2013 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2597 @ SV823 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2013 @ SV823 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5104]) ).
thf(5124,plain,
! [SV838: $i,SV1268: $i,SV2026: $i,SV2598: $i,SV2626: $i,SV1673: $i,SV398: $i] :
( ( ( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SV2626 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SV2626 @ SV2598 @ SV2026 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) )
= $true )
| ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2598 @ SV838 )
= $false )
| ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2026 @ SV1268 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5105]) ).
thf(5125,plain,
! [SV1269: $i,SV2027: $i,SV839: $i,SV2610: $i,SV1674: $i,SV399: $i] :
( ( ( c_WellType_OWT @ SV399 @ SV1674 @ SV2610 @ SV839 )
= $false )
| ( ( ! [SY9716: $i] :
( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SY9716 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SY9716 @ SV2610 @ SV2027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) ) )
= $true )
| ( ( c_WellType_OWT @ SV399 @ SV1674 @ SV2027 @ SV1269 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5106]) ).
thf(5126,plain,
! [SV872: $i,SV2051: $i,SV2605: $i,SV2627: $i,SV1699: $i,SV1296: $i,SV432: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2627 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ ( c_Expr_Oexp_OCond @ SV2627 @ SV2605 @ SV2051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2605 @ SV872 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2051 @ SV872 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5108]) ).
thf(5127,plain,
! [SV1306: $i,SV2316: $i,SV883: $i,SV2619: $i,SV2059: $i,SV1708: $i,SV443: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2619 @ SV883 ) )
= $true )
| ( ( ! [SY9719: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9719 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SY9719 @ SV2619 @ SV2316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2316 @ SV1306 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5109]) ).
thf(5128,plain,
! [SV1307: $i,SV2317: $i,SV884: $i,SV2612: $i,SV2060: $i,SV1709: $i,SV444: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2612 @ SV884 )
= $false )
| ( ( ! [SY9717: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SY9717 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SY9717 @ SV2612 @ SV2317 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2317 @ SV1307 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5110]) ).
thf(5129,plain,
! [SV2062: $i,SV1714: $i,SV1312: $i,SV453: $i,SV2319: $i,SV2620: $i,SV2606: $i,SV892: $i,SV6: $i] :
( ( ( c_BigStep_Oeval @ SV6 @ SV892 @ SV2606 @ ( c_Expr_Oexp_OVal @ SV2620 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 )
= $false )
| ( ( ~ ( c_BigStep_Oeval @ SV6 @ SV453 @ SV1312 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2606 ) )
= $true )
| ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 @ SV1714 @ SV2062 )
= $false )
| ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1312 @ SV1714 @ SV2062 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5111]) ).
thf(5130,plain,
! [SV1719: $i,SV1319: $i,SV899: $i,SV15: $i,SV2065: $i,SV2321: $i,SV2621: $i,SV2607: $i,SV460: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV460 @ SV2607 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2607 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[5112]) ).
thf(5131,plain,
! [SV1479: $i,SV1065: $i,SV2501: $i,SV2371: $i,SV1854: $i,SV2586: $i,SV2622: $i,SV2163: $i,SV626: $i,SV181: $i] :
( ( ( c_BigStep_Oeval @ SV181 @ SV626 @ SV2163 @ ( c_Expr_Oexp_OVal @ SV2622 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2586 )
= $false )
| ( ( c_BigStep_Oeval @ SV181 @ SV1854 @ SV2586 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
= $false )
| ( ( c_BigStep_Oeval @ SV181 @ ( c_Expr_Oexp_OFAss @ SV626 @ SV1065 @ SV1479 @ SV1854 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2163 @ ( c_Expr_Oexp_Othrow @ SV2371 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2501 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5114]) ).
thf(5132,plain,
! [SV2614: $i,SV1486: $i,SV189: $i,SV1073: $i,SV634: $i,SV2628: $i,SV2168: $i,SV1861: $i,SV2374: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV2374 @ ( c_Pair @ SV1861 @ SV2168 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2628 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 @ SV189 @ SV1861 @ SV1486 @ SV2374 @ SV2614 )
= $false )
| ( ( c_Conform_Olconf @ SV189 @ SV1861 @ SV2168 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $false )
| ( ( c_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SV1486 @ ( 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)],[5115]) ).
thf(5133,plain,
! [SV2169: $i,SV1487: $i,SV190: $i,SV2629: $i,SV635: $i,SV2623: $i,SV2375: $i,SV1074: $i,SV1862: $i] :
( ( ( ~ ( c_in @ ( c_Pair @ ( c_Pair @ SV1862 @ ( c_Pair @ SV1074 @ SV2375 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2623 @ ( c_Pair @ SV635 @ SV2629 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 @ SV190 @ SV1074 @ SV1487 @ SV1862 @ SV2169 )
= $false )
| ( ( c_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $false )
| ( ( c_Conform_Ohconf @ SV190 @ SV635 @ ( 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)],[5116]) ).
thf(5134,plain,
! [SV1108: $i,SV669: $i,SV2391: $i,SV2192: $i,SV1519: $i,SV2510: $i,SV2589: $i,SV2624: $i,SV1892: $i,SV224: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV224 @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2624 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2589 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV1519 @ SV2589 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OFAss @ SV224 @ SV669 @ SV1108 @ SV1519 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1892 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_Othrow @ SV2192 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2391 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2510 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[5117]) ).
thf(5135,plain,
! [SV1233: $i,SV2280: $i,SV798: $i,SV2617: $i,SV1999: $i,SV1636: $i,SV357: $i] :
( ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2617 @ SV798 )
= $false )
| ( ( ! [SY9718: $i] :
( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SY9718 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SY9718 @ SV2617 @ SV2280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2280 @ SV1233 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5120]) ).
thf(5136,plain,
! [SV799: $i,SV1234: $i,SV2281: $i,SV2609: $i,SV2630: $i,SV2000: $i,SV1637: $i,SV358: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2630 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SV2630 @ SV2609 @ SV2281 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2609 @ SV799 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2281 @ SV1234 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5121]) ).
thf(5137,plain,
! [SV818: $i,SV1654: $i,SV2579: $i,SV2618: $i,SV1250: $i,SV378: $i] :
( ( ( c_WellType_OWT @ SV378 @ SV1250 @ SV2618 @ c_Type_Oty_OBoolean )
= $false )
| ( ( c_WellType_OWT @ SV378 @ SV1250 @ ( c_Expr_Oexp_OCond @ SV2618 @ SV2579 @ SV1654 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV818 )
= $true )
| ( ( c_WellType_OWT @ SV378 @ SV1250 @ SV2579 @ SV818 )
= $false )
| ( ( c_WellType_OWT @ SV378 @ SV1250 @ SV1654 @ SV818 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV378 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV818 ) @ SV818 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5122]) ).
thf(5138,plain,
! [SV823: $i,SV2013: $i,SV2597: $i,SV2625: $i,SV1658: $i,SV1255: $i,SV383: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2625 @ c_Type_Oty_OBoolean ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ ( c_Expr_Oexp_OCond @ SV2625 @ SV2597 @ SV2013 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 )
= $true )
| ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2597 @ SV823 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2013 @ SV823 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5123]) ).
thf(5139,plain,
! [SV838: $i,SV1268: $i,SV2026: $i,SV2598: $i,SV2626: $i,SV1673: $i,SV398: $i] :
( ( ( ~ ( c_WellType_OWT @ SV398 @ SV1673 @ SV2626 @ c_Type_Oty_OBoolean ) )
= $true )
| ( ( ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SV2626 @ SV2598 @ SV2026 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) )
= $true )
| ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2598 @ SV838 )
= $false )
| ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2026 @ SV1268 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5124]) ).
thf(5140,plain,
! [SV1269: $i,SV839: $i,SV2027: $i,SV2610: $i,SV2631: $i,SV1674: $i,SV399: $i] :
( ( ( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SV2631 @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SV2631 @ SV2610 @ SV2027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 ) )
= $true )
| ( ( c_WellType_OWT @ SV399 @ SV1674 @ SV2610 @ SV839 )
= $false )
| ( ( c_WellType_OWT @ SV399 @ SV1674 @ SV2027 @ SV1269 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5125]) ).
thf(5141,plain,
! [SV872: $i,SV2051: $i,SV2605: $i,SV2627: $i,SV1699: $i,SV1296: $i,SV432: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2627 @ c_Type_Oty_OBoolean ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ ( c_Expr_Oexp_OCond @ SV2627 @ SV2605 @ SV2051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2605 @ SV872 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2051 @ SV872 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5126]) ).
thf(5142,plain,
! [SV1306: $i,SV2316: $i,SV883: $i,SV2619: $i,SV2059: $i,SV1708: $i,SV443: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2619 @ SV883 )
= $false )
| ( ( ! [SY9719: $i] :
( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SY9719 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SY9719 @ SV2619 @ SV2316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2316 @ SV1306 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5127]) ).
thf(5143,plain,
! [SV884: $i,SV1307: $i,SV2317: $i,SV2612: $i,SV2632: $i,SV2060: $i,SV1709: $i,SV444: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2632 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SV2632 @ SV2612 @ SV2317 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2612 @ SV884 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2317 @ SV1307 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5128]) ).
thf(5144,plain,
! [SV2062: $i,SV1714: $i,SV2319: $i,SV2620: $i,SV892: $i,SV2606: $i,SV1312: $i,SV453: $i,SV6: $i] :
( ( ( c_BigStep_Oeval @ SV6 @ SV453 @ SV1312 @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2606 )
= $false )
| ( ( c_BigStep_Oeval @ SV6 @ SV892 @ SV2606 @ ( c_Expr_Oexp_OVal @ SV2620 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 )
= $false )
| ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2319 @ SV1714 @ SV2062 )
= $false )
| ( ( c_BigStep_Oeval @ SV6 @ ( c_Expr_Oexp_OWhile @ SV453 @ SV892 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1312 @ SV1714 @ SV2062 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5129]) ).
thf(5145,plain,
! [SV1719: $i,SV1319: $i,SV2321: $i,SV2621: $i,SV460: $i,SV2065: $i,SV2607: $i,SV899: $i,SV15: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV15 @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ ( c_Value_Oval_OBool @ c_True ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2607 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ SV460 @ SV2607 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ ( c_Expr_Oexp_OVal @ SV2621 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV2321 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_in @ ( c_Pair @ ( c_Pair @ ( c_Expr_Oexp_OWhile @ SV15 @ SV460 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV899 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV1319 @ SV1719 @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_Transitive__Closure_Ortrancl @ ( c_SmallStep_Ored @ SV2065 ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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_not_pos,[status(thm)],[5130]) ).
thf(5146,plain,
! [SV2614: $i,SV1486: $i,SV189: $i,SV1073: $i,SV634: $i,SV2628: $i,SV2168: $i,SV1861: $i,SV2374: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV2374 @ ( c_Pair @ SV1861 @ SV2168 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2628 @ ( c_Pair @ SV634 @ SV1073 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV189 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 @ SV189 @ SV1861 @ SV1486 @ SV2374 @ SV2614 )
= $false )
| ( ( c_Conform_Olconf @ SV189 @ SV1861 @ SV2168 @ SV1486 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $false )
| ( ( c_Conform_Olconf @ SV189 @ SV634 @ SV1073 @ SV1486 @ ( 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)],[5132]) ).
thf(5147,plain,
! [SV2169: $i,SV1487: $i,SV190: $i,SV2629: $i,SV635: $i,SV2623: $i,SV2375: $i,SV1074: $i,SV1862: $i] :
( ( ( c_in @ ( c_Pair @ ( c_Pair @ SV1862 @ ( c_Pair @ SV1074 @ SV2375 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ SV2623 @ ( c_Pair @ SV635 @ SV2629 @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ SV190 ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_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 @ SV190 @ SV1074 @ SV1487 @ SV1862 @ SV2169 )
= $false )
| ( ( c_Conform_Ohconf @ SV190 @ SV1074 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
= $false )
| ( ( c_Conform_Ohconf @ SV190 @ SV635 @ ( 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)],[5133]) ).
thf(5148,plain,
! [SV1233: $i,SV798: $i,SV2280: $i,SV2617: $i,SV2633: $i,SV1999: $i,SV1636: $i,SV357: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2633 @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SV2633 @ SV2617 @ SV2280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2617 @ SV798 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2280 @ SV1233 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5135]) ).
thf(5149,plain,
! [SV799: $i,SV1234: $i,SV2281: $i,SV2609: $i,SV2630: $i,SV2000: $i,SV1637: $i,SV358: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2630 @ c_Type_Oty_OBoolean ) )
= $true )
| ( ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SV2630 @ SV2609 @ SV2281 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2609 @ SV799 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2281 @ SV1234 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5136]) ).
thf(5150,plain,
! [SV823: $i,SV2013: $i,SV2597: $i,SV2625: $i,SV1658: $i,SV1255: $i,SV383: $i] :
( ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2625 @ c_Type_Oty_OBoolean )
= $false )
| ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ ( c_Expr_Oexp_OCond @ SV2625 @ SV2597 @ SV2013 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV823 )
= $true )
| ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2597 @ SV823 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV383 @ SV1255 @ SV1658 @ SV2013 @ SV823 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV383 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV823 ) @ SV823 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5138]) ).
thf(5151,plain,
! [SV838: $i,SV1268: $i,SV2026: $i,SV2598: $i,SV2626: $i,SV1673: $i,SV398: $i] :
( ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2626 @ c_Type_Oty_OBoolean )
= $false )
| ( ( ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SV2626 @ SV2598 @ SV2026 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) ) )
= $true )
| ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2598 @ SV838 )
= $false )
| ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2026 @ SV1268 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5139]) ).
thf(5152,plain,
! [SV1269: $i,SV839: $i,SV2027: $i,SV2610: $i,SV2631: $i,SV1674: $i,SV399: $i] :
( ( ( ~ ( c_WellType_OWT @ SV399 @ SV1674 @ SV2631 @ c_Type_Oty_OBoolean ) )
= $true )
| ( ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SV2631 @ SV2610 @ SV2027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 )
= $true )
| ( ( c_WellType_OWT @ SV399 @ SV1674 @ SV2610 @ SV839 )
= $false )
| ( ( c_WellType_OWT @ SV399 @ SV1674 @ SV2027 @ SV1269 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5140]) ).
thf(5153,plain,
! [SV872: $i,SV2051: $i,SV2605: $i,SV2627: $i,SV1699: $i,SV1296: $i,SV432: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2627 @ c_Type_Oty_OBoolean )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ ( c_Expr_Oexp_OCond @ SV2627 @ SV2605 @ SV2051 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV872 )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2605 @ SV872 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV432 @ SV1296 @ SV1699 @ SV2051 @ SV872 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV432 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV872 ) @ SV872 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5141]) ).
thf(5154,plain,
! [SV1306: $i,SV883: $i,SV2316: $i,SV2619: $i,SV2634: $i,SV2059: $i,SV1708: $i,SV443: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2634 @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SV2634 @ SV2619 @ SV2316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2619 @ SV883 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2316 @ SV1306 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5142]) ).
thf(5155,plain,
! [SV884: $i,SV1307: $i,SV2317: $i,SV2612: $i,SV2632: $i,SV2060: $i,SV1709: $i,SV444: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2632 @ c_Type_Oty_OBoolean ) )
= $true )
| ( ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SV2632 @ SV2612 @ SV2317 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2612 @ SV884 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2317 @ SV1307 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5143]) ).
thf(5156,plain,
! [SV1233: $i,SV798: $i,SV2280: $i,SV2617: $i,SV2633: $i,SV1999: $i,SV1636: $i,SV357: $i] :
( ( ( ~ ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2633 @ c_Type_Oty_OBoolean ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SV2633 @ SV2617 @ SV2280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 )
= $true )
| ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2617 @ SV798 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2280 @ SV1233 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5148]) ).
thf(5157,plain,
! [SV799: $i,SV1234: $i,SV2281: $i,SV2609: $i,SV2630: $i,SV2000: $i,SV1637: $i,SV358: $i] :
( ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2630 @ c_Type_Oty_OBoolean )
= $false )
| ( ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SV2630 @ SV2609 @ SV2281 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2609 @ SV799 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2281 @ SV1234 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5149]) ).
thf(5158,plain,
! [SV838: $i,SV1268: $i,SV2026: $i,SV2598: $i,SV2626: $i,SV1673: $i,SV398: $i] :
( ( ( c_WellType_OWT @ SV398 @ SV1673 @ ( c_Expr_Oexp_OCond @ SV2626 @ SV2598 @ SV2026 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1268 )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1268 ) @ SV838 ) )
= $true )
| ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2626 @ c_Type_Oty_OBoolean )
= $false )
| ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2598 @ SV838 )
= $false )
| ( ( c_WellType_OWT @ SV398 @ SV1673 @ SV2026 @ SV1268 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV398 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV838 ) @ SV1268 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5151]) ).
thf(5159,plain,
! [SV1269: $i,SV839: $i,SV2027: $i,SV2610: $i,SV2631: $i,SV1674: $i,SV399: $i] :
( ( ( c_WellType_OWT @ SV399 @ SV1674 @ SV2631 @ c_Type_Oty_OBoolean )
= $false )
| ( ( c_WellType_OWT @ SV399 @ SV1674 @ ( c_Expr_Oexp_OCond @ SV2631 @ SV2610 @ SV2027 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV839 )
= $true )
| ( ( c_WellType_OWT @ SV399 @ SV1674 @ SV2610 @ SV839 )
= $false )
| ( ( c_WellType_OWT @ SV399 @ SV1674 @ SV2027 @ SV1269 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1269 ) @ SV839 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV399 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV839 ) @ SV1269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5152]) ).
thf(5160,plain,
! [SV1306: $i,SV883: $i,SV2316: $i,SV2619: $i,SV2634: $i,SV2059: $i,SV1708: $i,SV443: $i] :
( ( ( ~ ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2634 @ c_Type_Oty_OBoolean ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SV2634 @ SV2619 @ SV2316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2619 @ SV883 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2316 @ SV1306 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5154]) ).
thf(5161,plain,
! [SV884: $i,SV1307: $i,SV2317: $i,SV2612: $i,SV2632: $i,SV2060: $i,SV1709: $i,SV444: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2632 @ c_Type_Oty_OBoolean )
= $false )
| ( ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SV2632 @ SV2612 @ SV2317 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2612 @ SV884 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2317 @ SV1307 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5155]) ).
thf(5162,plain,
! [SV1233: $i,SV798: $i,SV2280: $i,SV2617: $i,SV2633: $i,SV1999: $i,SV1636: $i,SV357: $i] :
( ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2633 @ c_Type_Oty_OBoolean )
= $false )
| ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ ( c_Expr_Oexp_OCond @ SV2633 @ SV2617 @ SV2280 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV798 )
= $true )
| ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2617 @ SV798 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV357 @ SV1636 @ SV1999 @ SV2280 @ SV1233 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1233 ) @ SV798 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV357 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV798 ) @ SV1233 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5156]) ).
thf(5163,plain,
! [SV799: $i,SV1234: $i,SV2281: $i,SV2609: $i,SV2630: $i,SV2000: $i,SV1637: $i,SV358: $i] :
( ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ ( c_Expr_Oexp_OCond @ SV2630 @ SV2609 @ SV2281 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1234 )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1234 ) @ SV799 ) )
= $true )
| ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2630 @ c_Type_Oty_OBoolean )
= $false )
| ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2609 @ SV799 )
= $false )
| ( ( c_Progress_OWTrt_H @ SV358 @ SV1637 @ SV2000 @ SV2281 @ SV1234 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV358 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV799 ) @ SV1234 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5157]) ).
thf(5164,plain,
! [SV1306: $i,SV883: $i,SV2316: $i,SV2619: $i,SV2634: $i,SV2059: $i,SV1708: $i,SV443: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2634 @ c_Type_Oty_OBoolean )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ ( c_Expr_Oexp_OCond @ SV2634 @ SV2619 @ SV2316 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV883 )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2619 @ SV883 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV443 @ SV1708 @ SV2059 @ SV2316 @ SV1306 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1306 ) @ SV883 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV443 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV883 ) @ SV1306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5160]) ).
thf(5165,plain,
! [SV884: $i,SV1307: $i,SV2317: $i,SV2612: $i,SV2632: $i,SV2060: $i,SV1709: $i,SV444: $i] :
( ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ ( c_Expr_Oexp_OCond @ SV2632 @ SV2612 @ SV2317 @ ( tc_List_Olist @ tc_String_Ochar ) ) @ SV1307 )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV1307 ) @ SV884 ) )
= $true )
| ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2632 @ c_Type_Oty_OBoolean )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2612 @ SV884 )
= $false )
| ( ( c_WellTypeRT_OWTrt @ SV444 @ SV1709 @ SV2060 @ SV2317 @ SV1307 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ SV444 @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ SV884 ) @ SV1307 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5161]) ).
thf(5166,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1588,5165,5164,5163,5162,5159,5158,5153,5150,5147,5146,5145,5144,5137,5134,5131,5119,5118,5113,5107,5102,5101,5097,5090,5089,5088,5086,5081,5080,5079,5078,5077,5076,5075,5069,5064,5063,5062,5061,5060,5059,5058,5057,5056,5051,5050,5049,5048,5047,5046,5045,5040,5037,5032,5029,5028,5027,5026,5019,5018,5012,5011,5010,5004,5003,5000,4999,4998,4997,4995,4994,4993,4992,4984,4983,4981,4979,4977,4976,4969,4965,4964,4963,4962,4959,4955,4951,4945,4940,4930,4929,4928,4926,4924,4919,4916,4914,4913,4911,4910,4909,4904,4903,4902,4901,4895,4892,4891,4890,4889,4888,4887,4886,4883,4881,4879,4878,4877,4874,4870,4869,4868,4863,4862,4860,4859,4858,4857,4855,4852,4851,4850,4849,4845,4844,4843,4842,4840,4838,4837,4834,4829,4825,4821,4819,4818,4814,4809,4808,4807,4805,4804,4803,4802,4801,4799,4797,4795,4794,4793,4792,4791,4790,4789,4788,4786,4785,4784,4768,4767,4757,4756,4753,4752,4744,4742,4725,4716,4714,4710,4707,4706,4697,4695,4692,4679,4675,4671,4667,4666,4659,4651,4650,4647,4644,4631,4630,4622,4619,4618,4610,4609,4608,4603,4602,4598,4596,4594,4593,4591,4589,4588,4587,4586,4584,4583,4582,4580,4578,4577,4576,4567,4566,4564,4562,4560,4559,4557,4556,4555,4554,4553,4543,4539,4538,4523,4518,4508,4505,4504,4492,4484,4478,4475,4474,4468,4467,4464,4459,4458,4454,4440,4438,4437,4421,4419,4417,4412,4407,4406,4403,4399,4397,4393,4392,4386,4377,4364,4344,4340,4338,4337,4335,4334,4332,4330,4326,4325,4320,4317,4316,4313,4312,4307,4306,4301,4300,4296,4294,4293,4291,4290,4288,4287,4286,4284,4282,4280,4273,4267,4266,4261,4260,4259,4258,4257,4253,4251,4249,4246,4243,4237,4225,4223,4221,4220,4219,4218,4191,4173,4167,4164,4152,4151,4147,4145,4135,4123,4113,4083,4076,4026,4016,4014,4012,4008,4007,4006,4005,3995,3993,3990,3989,3986,3982,3977,3961,3960,3956,3946,3936,3934,3931,3925,3921,3920,3918,3907,3892,3891,3886,3885,3883,3881,3877,3872,3870,3851,3848,3798,3785,3764,3763,3722,3710,3684,3654,3652,3647,3644,3638,3633,3618,3606,3603,3602,3592,3578,3565,3562,3557,3553,3550,3529,3528,3520,3516,3510,3488,3485,3482,3480,3476,3474,3469,3414,3370,3369,3357,3330,3283,3235,3229,3218,3214,3211,3206,3180,3167,3142,3103,3095,3075,3054,3049,3046,3042,3033,3017,2975,2960,2879,2843,2842,2816,2794,2785,2696,2605,2577,2526,2488,2477,2426,2424,2404,2168,2167,2163,2162,2157,2075,2066,2058,1943,1941,1702,1698,1697,1694,1679,1677,1653,1646,1634]) ).
thf(5167,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[5166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV963-1 : 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
% 0.05/0.19 % Computer : n017.cluster.edu
% 0.05/0.19 % Model : x86_64 x86_64
% 0.05/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.19 % Memory : 8046.5625MB
% 0.05/0.19 % OS : Linux 6.8.0-71-generic
% 0.05/0.19 % CPULimit : 300
% 0.05/0.19 % WCLimit : 300
% 0.05/0.19 % DateTime : Tue Oct 6 16:44:31 UTC 2026
% 0.05/0.19 % CPUTime :
% 0.05/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 177.52/35.71 ...
% 177.52/35.71
% 177.52/35.71 No.of.Axioms: 464
% 177.52/35.71
% 177.52/35.71 Length.of.Defs: 0
% 177.52/35.71
% 177.52/35.71 Contains.Choice.Funs: false
% 177.52/35.71 .........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
% 177.52/35.71
% 177.52/35.71 ********************************
% 177.52/35.71 * All subproblems solved! *
% 177.52/35.71 ********************************
% 177.52/35.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:464,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:70,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:5166,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 177.52/35.71
% 177.52/35.71 %**** Beginning of derivation protocol ****
% 177.52/35.71 % SZS output start CNFRefutation
% See solution above
% 177.52/35.76
% 177.52/35.76 %**** End of derivation protocol ****
% 177.52/35.76 %**** no. of clauses in derivation: 5167 ****
% 177.52/35.76 %**** clause counter: 5166 ****
% 177.52/35.76
% 177.52/35.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:464,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:70,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:5166,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------